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Created October 2, 2025 17:12
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lswe.ipynb
{
"cells": [
{
"cell_type": "markdown",
"id": "3fbc22ff-0ec6-4806-ac61-932fc4fb5969",
"metadata": {},
"source": [
"Perfect — let’s break down the **discretization of the Linear Shallow Water Equations (LSWE)** as implemented in **TUNAMI-F1/TUNAMI-FF**. The model uses a **staggered leap-frog finite difference scheme** on a **latitude–longitude grid (spherical coordinates)**.\n",
"\n",
"---\n",
"\n",
"## 1. Governing Equations (Linearized SWEs on a Sphere)\n",
"\n",
"For depth-averaged velocity components (u) (east–west), (v) (north–south), and free surface displacement (\\eta):\n",
"\n",
"$$\n",
"\\frac{\\partial \\eta}{\\partial t} + \\frac{1}{R \\cos \\theta} \\left( \\frac{\\partial (H u)}{\\partial \\lambda} + \\frac{\\partial (H v \\cos \\theta)}{\\partial \\theta} \\right) = 0\n",
"$$\n",
"\n",
"$$\n",
"\\frac{\\partial u}{\\partial t} + g \\frac{\\partial \\eta}{R \\cos \\theta , \\partial \\lambda} = 0\n",
"$$\n",
"\n",
"$$\n",
"\\frac{\\partial v}{\\partial t} + g \\frac{\\partial \\eta}{R , \\partial \\theta} = 0\n",
"$$\n",
"\n",
"* (R): Earth radius\n",
"* (\\theta): latitude, (\\lambda): longitude\n",
"* (H): still water depth\n",
"\n",
"---\n",
"\n",
"## 2. Grid Setting (Staggered Arakawa C-Grid)\n",
"\n",
"The scheme uses a **staggered grid** in space and time:\n",
"\n",
"* **Elevation (\\eta)** at **cell centers** ((i,j)).\n",
"* **Velocities (u,v)** at **cell edges**:\n",
"\n",
" * (u) defined halfway between (\\eta) in the **x-direction (longitude)**.\n",
" * (v) defined halfway between (\\eta) in the **y-direction (latitude)**.\n",
"\n",
"```\n",
" v(i,j+1) \n",
" |\n",
" |\n",
"u(i,j) --- η(i,j) --- u(i+1,j)\n",
" |\n",
" |\n",
" v(i,j)\n",
"```\n",
"\n",
"This staggering avoids checkerboard decoupling and ensures mass conservation.\n",
"\n",
"---\n",
"\n",
"## 3. Time Discretization (Leap-Frog Scheme)\n",
"\n",
"The scheme alternates updates of (\\eta) and ((u,v)):\n",
"\n",
"* (\\eta) at **integer time levels** (n\\Delta t)\n",
"* ((u,v)) at **half time levels** ((n+\\tfrac{1}{2})\\Delta t)\n",
"\n",
"**Example updates:**\n",
"\n",
"* Update velocities from surface gradients:\n",
"\n",
"$$\n",
"u^{n+1/2}_{i+1/2,j} = u^{n-1/2}_{i+1/2,j}\n",
"- \\frac{g \\, \\Delta t}{R \\cos \\theta_j \\, \\Delta \\lambda}\n",
"\\left( \\eta^n_{i+1,j} - \\eta^n_{i,j} \\right)\n",
"$$\n",
"\n",
"$$\n",
"v^{n+1/2}_{i,j+1/2} = v^{n-1/2}_{i,j+1/2}\n",
"- \\frac{g \\, \\Delta t}{R \\, \\Delta \\theta}\n",
"\\left( \\eta^n_{i,j+1} - \\eta^n_{i,j} \\right)\n",
"$$\n",
"\n",
"* Update elevation from divergence of fluxes:\n",
"\n",
"$$\n",
"\\eta^{n+1}_{i,j} = \\eta^{n-1}_{i,j}\n",
"- \\frac{\\Delta t}{R \\cos \\theta_j}\n",
"\\left[\n",
"\\frac{H_{i+1/2,j} u^{n+1/2}_{i+1/2,j} - H_{i-1/2,j} u^{n+1/2}_{i-1/2,j}}{\\Delta \\lambda}\n",
"+ \\frac{(H v \\cos \\theta)^{n+1/2}_{i,j+1/2} - (H v \\cos \\theta)^{n+1/2}_{i,j-1/2}}{\\Delta \\theta}\n",
"\\right]\n",
"$$\n",
"\n",
"---\n",
"\n",
"## 4. Boundary Conditions\n",
"\n",
"* **Coastlines:** Reflective walls (velocity set to zero).\n",
"* **Open ocean boundaries:** Typically closed domain (global grid) so no open boundary needed.\n",
"* **Shallow cutoff:** If $H < 0.1 , \\text{m}$, replace slope with vertical wall (no flux).\n",
"\n",
"---\n",
"\n",
"## 5. Stability Condition (CFL)\n",
"\n",
"$$\n",
"\\Delta t \\leq \\frac{\\min(\\Delta x, \\Delta y)}{\\sqrt{g H_{\\max}}}\n",
"$$\n",
"\n",
"* Ensures stability of leap-frog scheme.\n",
"* In practice, $\\Delta t$ chosen conservatively (factor ~0.8 of CFL).\n",
"\n",
"---\n",
"\n",
"✅ Summary:\n",
"\n",
"* Uses **linear LSWE** on a sphere.\n",
"* **Staggered Arakawa C-grid** in space.\n",
"* **Leap-frog scheme** in time.\n",
"* **Reflective coastal boundaries**.\n",
"* **CFL-limited time step**.\n",
"\n",
"---\n",
"\n",
"Would you like me to **draw a grid diagram** (η at centers, u/v at edges, time staggering) so you can visually see how the discretization is arranged?\n"
]
},
{
"cell_type": "markdown",
"id": "15ff63ab-cd88-4d22-96a7-7d70aa2b173e",
"metadata": {},
"source": [
"Euler-forward:\n",
"$$\n",
"y_{n+1}=y_n+\\Delta t \\cdot f(y_n, t_n)\n",
"$$\n",
"\n",
"Leapfrog:\n",
"$$\n",
"y_{n+1}=y_{n-1}+2\\Delta t \\cdot f(y_n, t_n)\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "2fda2816-ab25-47df-ab7a-1502c6d6bc12",
"metadata": {
"jupyter": {
"source_hidden": true
}
},
"outputs": [],
"source": [
"def d(u,axis=None):\n",
" return (np.roll(u,-1,axis=axis)-np.roll(u,1,axis=axis))/2\n",
"def du(u):\n",
" return d(u,1)\n",
"def dv(v):\n",
" return d(v,0)\n",
" \n",
"class Simulator:\n",
" def __init__(self):\n",
" self.N=100\n",
" self.N2=self.N//2\n",
" g = 9.81\n",
" R = 6_378_000\n",
" lat_L = -0.00001\n",
" lat_R = 0.00001\n",
" lon_L = -0.00001\n",
" lon_R = 0.00001\n",
" lat=np.linspace(lat_L,lat_R,self.N)\n",
" dlat=(lat_R-lat_L)/(self.N-1)\n",
" lon=np.linspace(lon_L,lon_R,self.N)\n",
" dlon=(lon_R-lon_L)/(self.N-1)\n",
" latlon=np.stack(np.meshgrid(lat,lon,indexing='ij')).transpose(1,2,0)\n",
" self.u=np.zeros((self.N,self.N))\n",
" self.v=np.zeros((self.N,self.N))\n",
" self.h=np.zeros((self.N,self.N))\n",
" self.h[self.N2-10:self.N2+10, self.N2-10:self.N2+10]=10\n",
" self.hprev=self.h.copy()\n",
" self.mask=np.ones((self.N,self.N),dtype=bool)\n",
" self.mask[0]=False\n",
" self.mask[-1]=False\n",
" self.mask[:,0]=False\n",
" self.mask[:,-1]=False\n",
" self.H=30\n",
" coslat = np.cos(latlon[...,0])\n",
" self.t=0\n",
" fps = 60\n",
" nSeconds = 15\n",
" dt=0.1/fps\n",
" self.T=nSeconds+dt\n",
" self.new_u = self.u.copy()\n",
" self.new_v = self.v.copy()\n",
" self.new_h = self.h.copy()\n",
" print(dt,\"<\",R*min(dlon*np.min(coslat),dlat)/(g*self.H)**.5)\n",
" assert dt<R*min(dlon*np.min(coslat),dlat)/(g*self.H)**.5\n",
" def tick(self, dt=None):\n",
" if dt:\n",
" dt=dt\n",
" # leap frog phase odd\n",
" self.new_u[:] = self.u - g*dt/(R*coslat*dlon)*du(self.h)\n",
" self.new_v[:] = self.v - g*dt/(R*dlat)*dv(self.h)\n",
" self.u = self.new_u*self.mask\n",
" self.v = self.new_v*self.mask\n",
" # leap frog phase even\n",
" self.new_h[:] = self.hprev - 2*dt/(R*coslat) * self.H * (\n",
" du(self.u)/dlon + dv(self.v*coslat)/dlat\n",
" )\n",
" self.hprev[:] = self.h\n",
" self.h[self.mask] = self.new_h[self.mask]\n",
" self.t+=dt\n",
" return self.h"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "b7de13f0-bf5d-44cc-a523-045a5416cdca",
"metadata": {},
"outputs": [],
"source": [
"import random\n",
"import numpy as np\n",
"\n",
"import matplotlib\n",
"import matplotlib.pyplot as plt\n",
"\n",
"import matplotlib.animation as animation\n",
"import ctypes\n",
"import numpy as np\n",
"utils = ctypes.CDLL(\"C:/Users/umarzein/Desktop/cudaprog/simple/so/utils.dll\")\n",
"lswe2 = ctypes.CDLL(\"C:/Users/umarzein/Desktop/cudaprog/simple/so/lswe2.dll\")\n",
"lswe = ctypes.CDLL(\"C:/Users/umarzein/Desktop/cudaprog/simple/so/lswe.dll\")\n",
"utils.gpu_alloc_float.argtypes = [ctypes.c_int]\n",
"utils.gpu_alloc_float.restype = ctypes.c_void_p\n",
"\n",
"utils.gpu_free.argtypes = [ctypes.c_void_p]\n",
"utils.gpu_free.restype = None\n",
"\n",
"utils.gpu_copy_to_device.argtypes = [ctypes.c_void_p,\n",
" ctypes.POINTER(ctypes.c_float),\n",
" ctypes.c_int]\n",
"utils.gpu_copy_to_device.restype = ctypes.c_int\n",
"\n",
"utils.gpu_copy_to_host.argtypes = [ctypes.c_void_p,\n",
" ctypes.POINTER(ctypes.c_float),\n",
" ctypes.c_int]\n",
"utils.gpu_copy_to_host.restype = ctypes.c_int\n",
"\n",
"lswe.do_tick.argtypes = [ ctypes.c_void_p,#ctypes.POINTER(ctypes.c_float),#u\n",
" ctypes.c_void_p,#ctypes.POINTER(ctypes.c_float),#v\n",
" ctypes.c_float,#g\n",
" ctypes.c_float,#dt\n",
" ctypes.c_float,#R\n",
" ctypes.c_void_p,#ctypes.POINTER(ctypes.c_float),#coslat\n",
" ctypes.c_float,#dlat\n",
" ctypes.c_float,#dlon\n",
" ctypes.c_void_p,#ctypes.POINTER(ctypes.c_float),#hprev\n",
" ctypes.c_void_p,#ctypes.POINTER(ctypes.c_float),#hcur\n",
" ctypes.c_void_p,#ctypes.POINTER(ctypes.c_float),#new_h\n",
" ctypes.c_void_p,#ctypes.c_float,#H\n",
" ctypes.c_int,#NLON\n",
" ctypes.c_int,#NLAT\n",
" ]\n",
"lswe.do_tick.restype = ctypes.c_int\n",
"\n",
"lswe2.do_tick.argtypes = [ ctypes.c_void_p,#ctypes.POINTER(ctypes.c_float),#u\n",
" ctypes.c_void_p,#ctypes.POINTER(ctypes.c_float),#v\n",
" ctypes.c_float,#g\n",
" ctypes.c_float,#dt\n",
" ctypes.c_float,#R\n",
" ctypes.c_void_p,#ctypes.POINTER(ctypes.c_float),#coslat\n",
" ctypes.c_float,#dlat\n",
" ctypes.c_float,#dlon\n",
" ctypes.c_void_p,#ctypes.POINTER(ctypes.c_float),#hprev\n",
" ctypes.c_void_p,#ctypes.POINTER(ctypes.c_float),#hcur\n",
" ctypes.c_void_p,#ctypes.POINTER(ctypes.c_float),#new_h\n",
" ctypes.c_void_p,#H\n",
" ctypes.c_int,#NLON\n",
" ctypes.c_int,#NLAT\n",
" ]\n",
"lswe2.do_tick.restype = ctypes.c_int"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "0f8c24e0-52dc-4496-a817-d57d18ac4710",
"metadata": {},
"outputs": [],
"source": [
"NLAT=2000\n",
"NLON=2000\n",
"g=9.81\n",
"R=6_378_000\n",
"lat_L = -0.00001\n",
"lat_R = 0.00001\n",
"dlat = (lat_R - lat_L) / (NLAT - 1)\n",
"lon_L = -0.00001\n",
"lon_R = 0.00001\n",
"dlon = (lon_R - lon_L) / (NLON - 1)\n",
"x=np.linspace(-0.5,1.2,NLAT)\n",
"y=np.linspace(-0.5,1.2,NLAT)\n",
"x,y=np.meshgrid(x, y, indexing='ij')\n",
"oe=(np.arange(0,NLAT*NLON).reshape(NLAT,NLON)%2)!=0\n",
"z=(x*x+y*y)\n",
"lat = np.linspace(lat_L, lat_R, NLAT)\n",
"lon = np.linspace(lon_L, lon_R, NLON)\n",
"latlon = np.stack(np.meshgrid(lat, lon, indexing='ij')).transpose(1,2,0)\n",
"coslat = np.cos(latlon[...,0])\n",
"X=int(NLAT*0.2+1)\n",
"XW=int(NLAT*0.2+1)\n",
"Y=int(NLAT*0.31+1)\n",
"YW=int(NLAT*0.2+1)\n",
"H = np.zeros((NLAT, NLON))+100\n",
"init_h = np.zeros((NLAT, NLON))\n",
"fps=60\n",
"nSeconds=10\n",
"START_HEIGHT=10\n",
"init_h[(1-z)>0.9] = START_HEIGHT\n",
"init_h[oe]*=-1\n",
"CFL = R * min(dlon * np.min(coslat), dlat) / (g * H.max())**.5\n",
"dt=CFL/100 #0.01/fps\n",
"#assert dt*10 < R * min(dlon * np.min(coslat), dlat) / (g * H.min())**.5"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "0ffb81bd-798f-4d98-a53b-29ee0df1f73e",
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x21a6e6dbaf0>"
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},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.imshow(init_h[300:500,300:500], aspect='auto')"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "602dc3dc-658b-4a7e-a509-365f245e4cb8",
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"\n",
"class LSWECPU:\n",
" #non-staggered grid\n",
" def __init__(self):\n",
" self.u = np.zeros((NLAT, NLON)) # zonal (lon) velocity\n",
" self.v = np.zeros((NLAT, NLON)) # meridional (lat) velocity\n",
" self.h = init_h.copy()\n",
" self.hprev = self.h.copy()\n",
"\n",
" self.H = H.copy()\n",
" self.t = 0\n",
"\n",
" self.new_u = self.u.copy()\n",
" self.new_v = self.v.copy()\n",
" self.new_h = self.h.copy()\n",
"\n",
" # ---------- helpers: padding + central difference ----------\n",
" def _pad_reflect(self, var, kind):\n",
" \"\"\"\n",
" Return a (N+2,N+2) array padded with ghost cells consistent with reflecting BCs.\n",
" kind in {'u','v','h'} tells how to treat ghosts:\n",
" - 'u': zonal velocity -> flip sign on left/right ghosts (normal there)\n",
" - 'v': meridional velocity -> flip sign on top/bottom ghosts (normal there)\n",
" - 'h': height -> mirror (zero normal gradient)\n",
" \"\"\"\n",
" P = np.empty((NLAT+2, NLON+2), dtype=var.dtype)\n",
" P[1:-1, 1:-1] = var\n",
"\n",
" # interior edges\n",
" if kind == 'u':\n",
" # horizontal (lon) normal -> flip sign left/right\n",
" P[1:-1, 0] = -var[:, 0] # left ghost\n",
" P[1:-1, -1] = -var[:, -1] # right ghost\n",
" # top/bottom (tangential) mirror without sign flip\n",
" P[0, 1:-1] = var[0, :]\n",
" P[-1, 1:-1] = var[-1, :]\n",
" elif kind == 'v':\n",
" # vertical (lat) normal -> flip sign top/bottom\n",
" P[0, 1:-1] = -var[0, :]\n",
" P[-1, 1:-1] = -var[-1, :]\n",
" # left/right tangential mirror\n",
" P[1:-1, 0] = var[:, 0]\n",
" P[1:-1, -1] = var[:, -1]\n",
" else: # 'h'\n",
" # mirror everywhere (zero normal derivative)\n",
" P[1:-1, 0] = var[:, 0]\n",
" P[1:-1, -1] = var[:, -1]\n",
" P[0, 1:-1] = var[0, :]\n",
" P[-1, 1:-1] = var[-1, :]\n",
"\n",
" # corners: simple choice - copy nearest interior corner\n",
" P[0,0] = P[1,1]\n",
" P[0,-1] = P[1,-2]\n",
" P[-1,0] = P[-2,1]\n",
" P[-1,-1] = P[-2,-2]\n",
" return P\n",
"\n",
" def _cdiff(self, var, axis, kind):\n",
" \"\"\"\n",
" central difference (not divided by dx) along axis (0=lat,1=lon)\n",
" using reflective ghost cells appropriate to 'kind'.\n",
" returns an (N,N) array of centered differences:\n",
" (var[i+1]-var[i-1]) / 2 (we don't divide by spacing here; caller divides by dlon/dlat)\n",
" \"\"\"\n",
" P = self._pad_reflect(var, kind)\n",
" if axis == 1:\n",
" return (P[1:-1, 2:] - P[1:-1, 0:-2]) * 0.5\n",
" else:\n",
" return (P[2:, 1:-1] - P[0:-2, 1:-1]) * 0.5\n",
"\n",
" # convenience wrappers matching your old names\n",
" def du(self, u):\n",
" return self._cdiff(u, axis=1, kind='u')\n",
"\n",
" def dv(self, v):\n",
" return self._cdiff(v, axis=0, kind='v')\n",
"\n",
" def dh_dlon(self, h):\n",
" return self._cdiff(h, axis=1, kind='h')\n",
"\n",
" def dh_dlat(self, h):\n",
" return self._cdiff(h, axis=0, kind='h')\n",
"\n",
" # ---------- time stepping ----------\n",
" def tick(self):\n",
"\n",
" # --- leap-frog odd phase: update velocities using centered h-gradients ---\n",
" # (we compute central differences on padded arrays; divide by dlon/dlat exactly as before)\n",
" self.new_u[:] = self.u - g * dt / (R * coslat * dlon) * self.dh_dlon(self.h)\n",
" self.new_v[:] = self.v - g * dt / (R * dlat) * self.dh_dlat(self.h)\n",
"\n",
" # enforce impermeable wall: normal velocities zero at edges\n",
" # normal to left/right = u, normal to top/bottom = v\n",
" self.new_u[:, 0] = 0.0\n",
" self.new_u[:, -1] = 0.0\n",
" self.new_v[0, :] = 0.0\n",
" self.new_v[-1, :] = 0.0\n",
"\n",
" # commit velocity update\n",
" self.u = self.new_u.copy()\n",
" self.v = self.new_v.copy()\n",
"\n",
" # --- leap-frog even phase: update h using divergence of (u, v coslat) ---\n",
" term = (self.du(self.u) / dlon) + (self.dv(self.v * coslat) / dlat)\n",
" self.new_h[:] = self.hprev - 2.0 * dt / (R * coslat) * self.H * term\n",
"\n",
" # step time levels for h\n",
" self.hprev[:] = self.h\n",
" self.h[:] = self.new_h\n",
"\n",
" # enforce reflective BC for h: zero normal gradient (Neumann)\n",
" # i.e., copy adjacent interior values into boundaries\n",
" self.h[0, :] = self.h[1, :]\n",
" self.h[-1, :] = self.h[-2, :]\n",
" self.h[:, 0] = self.h[:, 1]\n",
" self.h[:, -1] = self.h[:, -2]\n",
"\n",
" self.t += dt\n",
" def get_height(self):\n",
" return self.h\n"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "0f25d285-15af-44ea-a876-160b99a56c65",
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"class LSWECPU2:\n",
" #staggered grid\n",
" def __init__(self):\n",
" self.u = np.zeros((NLAT, NLON-1)) # zonal (lon) velocity\n",
" self.v = np.zeros((NLAT-1, NLON)) # meridional (lat) velocity\n",
" self.h = init_h.copy()\n",
" self.hprev = self.h.copy()\n",
" self.temp = np.zeros((NLAT, NLON))\n",
" self.temp2 = np.zeros((NLAT, NLON))\n",
"\n",
" self.H = H.copy()\n",
" self.t = 0\n",
"\n",
" self.new_u = self.u.copy()\n",
" self.new_v = self.v.copy()\n",
" self.new_h = self.h.copy()\n",
"\n",
" # ---------- time stepping ----------\n",
" def tick(self):\n",
"\n",
" # --- leap-frog odd phase: update velocities using centered h-gradients ---\n",
" # (we compute central differences on padded arrays; divide by dlon/dlat exactly as before)\n",
" self.new_u[:] = self.u - g * dt / (R * dlon) * (self.h[:,1:]*coslat[:,1:]-self.h[:,:-1]*coslat[:,:-1])\n",
" self.new_v[:] = self.v - g * dt / (R * dlat) * (self.h[1:]-self.h[:-1])\n",
"\n",
" # enforce impermeable wall: normal velocities zero at edges\n",
" # normal to left/right = u, normal to top/bottom = v\n",
" self.new_u[:, 0] = 0.0\n",
" self.new_u[:, -1] = 0.0\n",
" self.new_v[0, :] = 0.0\n",
" self.new_v[-1, :] = 0.0\n",
"\n",
" # commit velocity update\n",
" self.u[:] = self.new_u\n",
" self.v[:] = self.new_v\n",
"\n",
" # --- leap-frog even phase: update h using divergence of (u, v coslat) ---\n",
" self.temp2[:]=0\n",
" \n",
" self.temp[:] = 0\n",
" self.temp[:,:-1] = self.u\n",
" self.temp[:,1:] -= self.u\n",
" \n",
" self.temp2[:] += self.temp/dlon\n",
"\n",
" self.temp[:] = 0\n",
" self.temp[:-1] = self.v*coslat[:-1]\n",
" self.temp[1:] -= self.v*coslat[1:]\n",
" \n",
" self.temp2[:] += self.temp/dlat\n",
" \n",
" self.new_h[:] = self.hprev - 2.0 * dt / (R * coslat) * self.H * self.temp2\n",
"\n",
" # step time levels for h\n",
" self.hprev[:] = self.h\n",
" self.h[:] = self.new_h\n",
"\n",
" # enforce reflective BC for h: zero normal gradient (Neumann)\n",
" # i.e., copy adjacent interior values into boundaries\n",
" self.h[0, :] = self.h[1, :]\n",
" self.h[-1, :] = self.h[-2, :]\n",
" self.h[:, 0] = self.h[:, 1]\n",
" self.h[:, -1] = self.h[:, -2]\n",
"\n",
" self.t += dt\n",
" def get_height(self):\n",
" return self.h\n",
" def get_u(self):\n",
" self.temp[:]=0\n",
" self.temp[:,:-1] = self.u\n",
" return self.temp\n",
" def get_v(self):\n",
" self.temp[:] = 0\n",
" self.temp[:-1] = self.v*coslat[:-1]\n",
" return self.temp"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "af62da13-de4b-4cbc-95be-dadbcc55f186",
"metadata": {},
"outputs": [],
"source": [
"class GPUArray:\n",
" \"\"\"Manages a single GPU memory allocation.\"\"\"\n",
" def __init__(self, host_array):\n",
" assert host_array.ndim<=2\n",
" if host_array.dtype==np.float64:\n",
" self.host_array = np.ascontiguousarray(host_array, dtype=np.float32)\n",
" else:\n",
" self.host_array = np.ascontiguousarray(host_array)\n",
" self.n = host_array.size\n",
" self.device_ptr = None\n",
"\n",
" # Allocate and copy immediately upon creation\n",
" print(f\"✅ Allocating persistent GPU memory for array of size {self.n} of type {self.host_array.dtype}...\")\n",
" self.device_ptr = utils.gpu_alloc_float(self.n)\n",
" print(\"self.device_ptr:\",type(self.device_ptr))\n",
" host_ptr = self.host_array.ctypes.data_as(ctypes.POINTER(ctypes.c_float))\n",
" utils.gpu_copy_to_device(self.device_ptr, host_ptr, self.n)\n",
"\n",
" def copy_to_host(self):\n",
" \"\"\"Copies data from device back to the original host array.\"\"\"\n",
" if self.device_ptr:\n",
" host_ptr = self.host_array.ctypes.data_as(ctypes.POINTER(ctypes.c_float))\n",
" utils.gpu_copy_to_host(self.device_ptr, host_ptr, self.n)\n",
"\n",
" def copy_to_device(self):\n",
" \"\"\"Copies data from device back to the original host array.\"\"\"\n",
" if self.device_ptr:\n",
" host_ptr = self.host_array.ctypes.data_as(ctypes.POINTER(ctypes.c_float))\n",
" print(\"self.device_ptr:\",type(self.device_ptr))\n",
" print(\"host_ptr:\",type(host_ptr))\n",
" print(\"self.n:\",type(self.n))\n",
" utils.gpu_copy_to_device(self.device_ptr, host_ptr, self.n)\n",
"\n",
" def free(self):\n",
" \"\"\"Explicitly frees the GPU memory.\"\"\"\n",
" if self.device_ptr:\n",
" utils.gpu_free(self.device_ptr)\n",
" print(f\"🗑️ Persistent GPU memory at {self.device_ptr} (size={self.n}) freed.\")\n",
" self.device_ptr = None # Avoid double-freeing\n",
"\n",
" def __del__(self):\n",
" \"\"\"Destructor as a safety net to prevent memory leaks.\"\"\"\n",
" if self.device_ptr:\n",
" print(f\"⚠️ Warning: GPUArray was garbage collected without explicit .free() call.\")\n",
" self.free()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "1672e30e-2ebb-43f3-8330-3da84e3c43ff",
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"\n",
"class LSWEGPU:\n",
" def __init__(self):\n",
" self.t = 0\n",
" # stability check same as yours (keep it)\n",
" \n",
" self.H = GPUArray(H.copy())\n",
" self.u=GPUArray(np.zeros((NLAT, NLON)))#ctypes.POINTER(ctypes.c_float),\n",
" self.v=GPUArray(np.zeros((NLAT, NLON)))# ctypes.POINTER(ctypes.c_float),\n",
" self.coslat=GPUArray(coslat)# ctypes.POINTER(ctypes.c_float),#cosl\n",
" self.hprev=GPUArray(init_h.copy())# ctypes.POINTER(ctypes.c_float),#hpr\n",
" self.h=GPUArray(init_h.copy())# ctypes.POINTER(ctypes.c_float),#hc\n",
" self.new_h=GPUArray(init_h.copy())# ctypes.POINTER(ctypes.c_float),#new\n",
" # ---------- time stepping ----------\n",
" def get_height(self):\n",
" self.h.copy_to_host()\n",
" return self.h.host_array\n",
" \n",
" def tick(self):\n",
" res=lswe.do_tick(\n",
" self.u.device_ptr,\n",
" self.v.device_ptr,\n",
" g,\n",
" dt,\n",
" R,\n",
" self.coslat.device_ptr,\n",
" dlat,\n",
" dlon,\n",
" self.hprev.device_ptr,\n",
" self.h.device_ptr,\n",
" self.new_h.device_ptr,\n",
" self.H.device_ptr,\n",
" NLON,\n",
" NLAT,\n",
" )\n",
" assert res==0, f\"res={res}\"\n",
" self.t += dt\n"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "3a5367d2-0ef6-4ed1-b757-b5064cfdc516",
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"\n",
"class LSWEGPU2:\n",
" #lswe 2 (arakawa C-grid/staggered grid)\n",
" def __init__(self):\n",
" self.t = 0\n",
" \n",
" self.H=GPUArray(H.copy())#ctypes.POINTER(ctypes.c_float),\n",
" self.u=GPUArray(np.zeros((NLAT-1, NLON)))#ctypes.POINTER(ctypes.c_float),\n",
" self.v=GPUArray(np.zeros((NLAT, NLON-1)))# ctypes.POINTER(ctypes.c_float),\n",
" self.coslat=GPUArray(coslat)# ctypes.POINTER(ctypes.c_float),#cosl\n",
" self.hprev=GPUArray(init_h.copy())# ctypes.POINTER(ctypes.c_float),#hpr\n",
" self.h=GPUArray(init_h.copy())# ctypes.POINTER(ctypes.c_float),#hc\n",
" self.new_h=GPUArray(init_h.copy())# ctypes.POINTER(ctypes.c_float),#new\n",
" # ---------- time stepping ----------\n",
" def get_height(self):\n",
" self.h.copy_to_host()\n",
" return self.h.host_array\n",
" def tick(self):\n",
" res=lswe2.do_tick(\n",
" self.u.device_ptr,\n",
" self.v.device_ptr,\n",
" g,\n",
" dt,\n",
" R,\n",
" self.coslat.device_ptr,\n",
" dlat,\n",
" dlon,\n",
" self.hprev.device_ptr,\n",
" self.h.device_ptr,\n",
" self.new_h.device_ptr,\n",
" self.H.device_ptr,\n",
" NLON,\n",
" NLAT,\n",
" )\n",
" assert res==0, f\"res={res}\"\n",
" self.t += dt\n"
]
},
{
"cell_type": "code",
"execution_count": 64,
"id": "f47a286d-4d6b-433d-85df-cfeedd3ab3c8",
"metadata": {
"jupyter": {
"source_hidden": true
},
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
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",
"text/plain": [
"<Figure size 800x800 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lswecpu2=LSWECPU2()\n",
"#lswegpu2=LSWEGPU2()\n",
"#lswecpu=LSWECPU()\n",
"#lswegpu=LSWEGPU()\n",
"# First set up the figure, the axis, and the plot element we want to animate\n",
"fig = plt.figure( figsize=(8,8) )\n",
"temp=np.zeros((2*NLAT,2*NLON))\n",
"im = plt.imshow(temp.copy(), interpolation='none', aspect='auto', vmin=-2*START_HEIGHT,vmax=2*START_HEIGHT)\n",
"N_FRAMES=nSeconds*fps\n",
"def animate_func(i):\n",
" for _ in range(int(1/fps/dt)):\n",
" lswecpu2.tick()\n",
" #lswegpu2.tick()\n",
" #lswecpu.tick()\n",
" #lswegpu.tick()\n",
" h=lswecpu2.get_height()\n",
" u=lswecpu2.get_u()*(h+H)/H\n",
" u=(u-np.mean(u))/(u.std()+1e-9)\n",
" v=lswecpu2.get_v()*(h+H)/H\n",
" v=(v-np.mean(v))/(v.std()+1e-9)\n",
" habs=np.abs(h)*4\n",
" temp[:NLAT,:NLON]=h\n",
" temp[:NLAT,NLON:]=u\n",
" temp[NLAT:,:NLON]=v\n",
" temp[NLAT:,NLON:]=habs\n",
" print(i/N_FRAMES)\n",
" im.set_array(temp)\n",
" return [im]\n",
"\n",
"anim = animation.FuncAnimation(\n",
" fig, \n",
" animate_func, \n",
" frames = N_FRAMES,\n",
" interval = 1000 / fps, # in ms\n",
" )\n",
"\n",
"anim.save(f'debug_lswecpu2_{int(1/dt)}.mp4', fps=fps, extra_args=['-vcodec', 'libx264'])"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "c05feccc-6b06-48d8-92c5-8a79371b4e91",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"✅ Allocating persistent GPU memory for array of size 4000000 of type float32...\n",
"self.device_ptr: <class 'int'>\n",
"✅ Allocating persistent GPU memory for array of size 3998000 of type float32...\n",
"self.device_ptr: <class 'int'>\n",
"✅ Allocating persistent GPU memory for array of size 3998000 of type float32...\n",
"self.device_ptr: <class 'int'>\n",
"✅ Allocating persistent GPU memory for array of size 4000000 of type float32...\n",
"self.device_ptr: <class 'int'>\n",
"✅ Allocating persistent GPU memory for array of size 4000000 of type float32...\n",
"self.device_ptr: <class 'int'>\n",
"✅ Allocating persistent GPU memory for array of size 4000000 of type float32...\n",
"self.device_ptr: <class 'int'>\n",
"✅ Allocating persistent GPU memory for array of size 4000000 of type float32...\n",
"self.device_ptr: <class 'int'>\n",
"⚠️ Warning: GPUArray was garbage collected without explicit .free() call.\n",
"🗑️ Persistent GPU memory at 47292874752 (size=4000000) freed.\n",
"⚠️ Warning: GPUArray was garbage collected without explicit .free() call.\n",
"🗑️ Persistent GPU memory at 47309651968 (size=3998000) freed.\n",
"⚠️ Warning: GPUArray was garbage collected without explicit .free() call.\n",
"🗑️ Persistent GPU memory at 47326429184 (size=3998000) freed.\n",
"⚠️ Warning: GPUArray was garbage collected without explicit .free() call.\n",
"🗑️ Persistent GPU memory at 47343206400 (size=4000000) freed.\n",
"⚠️ Warning: GPUArray was garbage collected without explicit .free() call.\n",
"🗑️ Persistent GPU memory at 47359983616 (size=4000000) freed.\n",
"⚠️ Warning: GPUArray was garbage collected without explicit .free() call.\n",
"🗑️ Persistent GPU memory at 47376760832 (size=4000000) freed.\n",
"⚠️ Warning: GPUArray was garbage collected without explicit .free() call.\n",
"🗑️ Persistent GPU memory at 47393538048 (size=4000000) freed.\n",
"✅ Allocating persistent GPU memory for array of size 4000000 of type float32...\n",
"self.device_ptr: <class 'int'>\n",
"✅ Allocating persistent GPU memory for array of size 4000000 of type float32...\n",
"self.device_ptr: <class 'int'>\n",
"✅ Allocating persistent GPU memory for array of size 4000000 of type float32...\n",
"self.device_ptr: <class 'int'>\n",
"✅ Allocating persistent GPU memory for array of size 4000000 of type float32...\n",
"self.device_ptr: <class 'int'>\n",
"✅ Allocating persistent GPU memory for array of size 4000000 of type float32...\n",
"self.device_ptr: <class 'int'>\n",
"✅ Allocating persistent GPU memory for array of size 4000000 of type float32...\n",
"self.device_ptr: <class 'int'>\n",
"✅ Allocating persistent GPU memory for array of size 4000000 of type float32...\n",
"self.device_ptr: <class 'int'>\n",
"⚠️ Warning: GPUArray was garbage collected without explicit .free() call.\n",
"🗑️ Persistent GPU memory at 47410315264 (size=4000000) freed.\n",
"⚠️ Warning: GPUArray was garbage collected without explicit .free() call.\n",
"🗑️ Persistent GPU memory at 47427092480 (size=4000000) freed.\n",
"⚠️ Warning: GPUArray was garbage collected without explicit .free() call.\n",
"🗑️ Persistent GPU memory at 47443869696 (size=4000000) freed.\n",
"⚠️ Warning: GPUArray was garbage collected without explicit .free() call.\n",
"🗑️ Persistent GPU memory at 47460646912 (size=4000000) freed.\n",
"⚠️ Warning: GPUArray was garbage collected without explicit .free() call.\n",
"🗑️ Persistent GPU memory at 47477424128 (size=4000000) freed.\n",
"⚠️ Warning: GPUArray was garbage collected without explicit .free() call.\n",
"🗑️ Persistent GPU memory at 47494201344 (size=4000000) freed.\n",
"⚠️ Warning: GPUArray was garbage collected without explicit .free() call.\n",
"🗑️ Persistent GPU memory at 47510978560 (size=4000000) freed.\n",
"lswecpu\n",
"lswegpu\n",
"lswecpu2\n",
"lswegpu2\n",
"LSWE-CPU: 23.393454500008374\n",
"LSWE-GPU: 0.7032470999984071\n",
"LSWE-CPU2: 16.61387979995925\n",
"LSWE-GPU2: 0.6357484000036493\n"
]
}
],
"source": [
"from time import perf_counter \n",
"lswecpu2=LSWECPU2()\n",
"lswegpu2=LSWEGPU2()\n",
"lswecpu=LSWECPU()\n",
"lswegpu=LSWEGPU()\n",
"ta=perf_counter()\n",
"print(\"lswecpu\")\n",
"for _ in range(100):\n",
" lswecpu.tick()\n",
"tb=perf_counter()\n",
"print(\"lswegpu\")\n",
"for _ in range(100):\n",
" lswegpu.tick()\n",
"tc=perf_counter()\n",
"print(\"lswecpu2\")\n",
"for _ in range(100):\n",
" lswecpu2.tick()\n",
"td=perf_counter()\n",
"print(\"lswegpu2\")\n",
"for _ in range(100):\n",
" lswegpu2.tick()\n",
"te=perf_counter()\n",
"print(\"LSWE-CPU:\",tb-ta)\n",
"print(\"LSWE-GPU:\",tc-tb)\n",
"print(\"LSWE-CPU2:\",td-tc)\n",
"print(\"LSWE-GPU2:\",te-td)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "2e2bb4c3-f155-4eb7-a928-ffad595ef18f",
"metadata": {},
"outputs": [],
"source": [
"h_lswecpu2=lswecpu2.get_height()\n",
"h_lswegpu2=lswegpu2.get_height()\n",
"h_lswecpu=lswecpu.get_height()\n",
"h_lswegpu=lswegpu.get_height()"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "63fb1f60-69cd-42a5-ae28-706d28f843cf",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"6.5652065"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.abs(h_lswegpu2.max())"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "bb815f5e-7d65-46bc-b63e-874cd9bd5992",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.imshow(np.abs(h_lswecpu2))\n",
"plt.show()\n",
"plt.imshow(np.abs(h_lswegpu2))\n",
"plt.show()\n",
"plt.imshow(np.abs(h_lswecpu))\n",
"plt.show()\n",
"plt.imshow(np.abs(h_lswegpu))\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "073d65ca-dc23-4673-b837-aeb6ac724458",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"2.2005851583565834e-07\n",
"7.344801708649993e-09\n"
]
}
],
"source": [
"print(np.mean(np.abs(h_lswecpu2-h_lswegpu2)))\n",
"print(np.mean(np.abs(h_lswecpu-h_lswegpu)))"
]
},
{
"cell_type": "markdown",
"id": "4f8da037-a60c-4f21-a8eb-11671a798b9d",
"metadata": {},
"source": [
"# DISORGANIZED CODE BELOW"
]
},
{
"cell_type": "code",
"execution_count": 101,
"id": "39ac3bf0-2978-4343-9867-356c552db20b",
"metadata": {},
"outputs": [],
"source": [
"\n",
"h=lswecpu2.get_height()\n",
"u=lswecpu2.get_u()*(h+H)/H\n",
"v=lswecpu2.get_v()*(h+H)/H\n",
"habs=np.abs(h)"
]
},
{
"cell_type": "code",
"execution_count": 113,
"id": "8cc75fa2-86bd-4472-9a4d-42a8fb13f7f9",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<Axes: >"
]
},
"execution_count": 113,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import seaborn as sns\n",
"sns.heatmap(h)"
]
},
{
"cell_type": "code",
"execution_count": 114,
"id": "378c2dbb-eb77-4dbd-8d75-882cbfdce6cc",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ax=sns.heatmap(u)"
]
},
{
"cell_type": "code",
"execution_count": 115,
"id": "9ee831d9-e27e-4376-a876-49ffbae6a40e",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<Axes: >"
]
},
"execution_count": 115,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.heatmap(v)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "8fa7223f-83c0-43d4-a790-dfa44a4f1da5",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(100, 100)"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(g * dt / (R * coslat * dlon)).shape"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "26ca0a0f-005b-4b69-8d7e-23e297d03d17",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 14,
"id": "30d5bc0e-2fcc-4729-9881-943aa7f1793f",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(100, 100)"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lswecpu2.h.shape"
]
},
{
"cell_type": "code",
"execution_count": 48,
"id": "bf53705c-1d4f-45e3-bb7c-e16188e15176",
"metadata": {},
"outputs": [
{
"ename": "AssertionError",
"evalue": "res=-2",
"output_type": "error",
"traceback": [
"\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[1;31mAssertionError\u001b[0m Traceback (most recent call last)",
"Cell \u001b[1;32mIn[48], line 1\u001b[0m\n\u001b[1;32m----> 1\u001b[0m \u001b[43mlswegpu\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mtick\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\n",
"Cell \u001b[1;32mIn[45], line 37\u001b[0m, in \u001b[0;36mLSWEGPU.tick\u001b[1;34m(self)\u001b[0m\n\u001b[0;32m 20\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mtick\u001b[39m(\u001b[38;5;28mself\u001b[39m):\n\u001b[0;32m 21\u001b[0m res\u001b[38;5;241m=\u001b[39mlswe\u001b[38;5;241m.\u001b[39mdo_tick(\n\u001b[0;32m 22\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mu\u001b[38;5;241m.\u001b[39mdevice_ptr,\n\u001b[0;32m 23\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mv\u001b[38;5;241m.\u001b[39mdevice_ptr,\n\u001b[1;32m (...)\u001b[0m\n\u001b[0;32m 35\u001b[0m NLAT,\n\u001b[0;32m 36\u001b[0m )\n\u001b[1;32m---> 37\u001b[0m \u001b[38;5;28;01massert\u001b[39;00m res\u001b[38;5;241m==\u001b[39m\u001b[38;5;241m0\u001b[39m, \u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mres=\u001b[39m\u001b[38;5;132;01m{\u001b[39;00mres\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m\"\u001b[39m\n\u001b[0;32m 38\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mt \u001b[38;5;241m+\u001b[39m\u001b[38;5;241m=\u001b[39m dt\n",
"\u001b[1;31mAssertionError\u001b[0m: res=-2"
]
}
],
"source": [
"lswegpu.tick()"
]
},
{
"cell_type": "code",
"execution_count": 41,
"id": "82fae6f3-369e-45f3-8bcd-035bda0aed05",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.004113815519754244"
]
},
"execution_count": 41,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dt"
]
},
{
"cell_type": "code",
"execution_count": 37,
"id": "ca4a88c2-7f61-4d55-a21f-8cdfa9f41f36",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'ffmpeg'"
]
},
"execution_count": 37,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plt.rcParams['animation.writer']"
]
},
{
"cell_type": "code",
"execution_count": 38,
"id": "cf4b74ac-3e30-465a-8a71-737f88df77ba",
"metadata": {},
"outputs": [
{
"ename": "AttributeError",
"evalue": "module 'matplotlib.pyplot' has no attribute 'writer'",
"output_type": "error",
"traceback": [
"\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[1;31mAttributeError\u001b[0m Traceback (most recent call last)",
"Cell \u001b[1;32mIn[38], line 1\u001b[0m\n\u001b[1;32m----> 1\u001b[0m \u001b[43mplt\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mwriter\u001b[49m\n",
"\u001b[1;31mAttributeError\u001b[0m: module 'matplotlib.pyplot' has no attribute 'writer'"
]
}
],
"source": [
"plt.writer"
]
},
{
"cell_type": "code",
"execution_count": 42,
"id": "8e468626-9c5b-4f02-9d7b-6b51ef5dee74",
"metadata": {},
"outputs": [
{
"ename": "AttributeError",
"evalue": "type object 'FFMpegWriter' has no attribute 'metadata'",
"output_type": "error",
"traceback": [
"\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[1;31mAttributeError\u001b[0m Traceback (most recent call last)",
"Cell \u001b[1;32mIn[42], line 1\u001b[0m\n\u001b[1;32m----> 1\u001b[0m \u001b[43manimation\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mwriters\u001b[49m\u001b[43m[\u001b[49m\u001b[43mplt\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mrcParams\u001b[49m\u001b[43m[\u001b[49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[38;5;124;43manimation.writer\u001b[39;49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[43m]\u001b[49m\u001b[43m]\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mmetadata\u001b[49m\n",
"\u001b[1;31mAttributeError\u001b[0m: type object 'FFMpegWriter' has no attribute 'metadata'"
]
}
],
"source": [
"animation.writers[plt.rcParams['animation.writer']].metadata"
]
},
{
"cell_type": "code",
"execution_count": 75,
"id": "6f269694-3876-4ab7-90bf-5aaa154b7d87",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"⚠️ Warning: GPUArray was garbage collected without explicit .free() call.\n",
"🗑️ Persistent GPU memory at 47299029504 (size=10000) freed.\n",
"u (100, 100) False -666689250000000.0 666689000000000.0\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"v (100, 100) False -666689250000000.0 666689300000000.0\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"h (100, 100) False -1.074327e+16 1.0804992e+16\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"hprev (100, 100) False -1.0283726e+16 1.0225222e+16\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"coslat (100, 100) False 1.0 1.0\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"new_h (100, 100) False -1.074327e+16 1.0804992e+16\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for k,v in sim.__dict__.items():\n",
" if isinstance(v,GPUArray):\n",
" v.copy_to_host()\n",
" mm=(v.host_array.min(),v.host_array.max())\n",
" print(k,v.host_array.shape, np.isnan(v.host_array).any(),*mm)\n",
" plt.imshow(v.host_array)\n",
" plt.title(f\"{k}:{mm}\")\n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "018845cf-a36d-4e71-af36-afe480643f0c",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"3607223619911.872"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"3607223619911.872"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "0ae14206-8700-46d5-8d7d-056bed1e92f6",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"-5.396709899594457e+44"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sim.hprev.host_array.min()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "8fdf1848-bf55-4bf3-b8bd-fdae0eef5e2c",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x2038427b7f0>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.imshow(sim.u.host_array)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "c1d0e0b3-03de-4316-870d-a35f5d674896",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x25877dab610>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.imshow(sim.h.host_array, interpolation='none', aspect='auto', vmin=0, vmax=1)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "4eca533b-d19d-484e-bcdc-74382634001f",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[nan, nan, nan, ..., nan, nan, nan],\n",
" [nan, nan, nan, ..., nan, nan, nan],\n",
" [nan, nan, nan, ..., nan, nan, nan],\n",
" ...,\n",
" [ 0., 0., 0., ..., 0., 0., 0.],\n",
" [ 0., 0., 0., ..., 0., 0., 0.],\n",
" [ 0., 0., 0., ..., 0., 0., 0.]])"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sim.h.host_array"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "c00bf98f-fffc-4668-aa14-4daa95f01902",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<ctypes.wintypes.LP_c_long at 0x1d4bbe11dc0>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ctypes.pointer(ctypes.c_int(23))"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "537343f9-843b-461b-a04a-51bc9650fda2",
"metadata": {},
"outputs": [],
"source": [
"sim.tick()"
]
},
{
"cell_type": "markdown",
"id": "9c2ae952-59ff-46e6-bd17-70fc07cde6ce",
"metadata": {},
"source": [
"```C\n",
"int do_tick(float *u, float *v, const float g, const float dt, const float R, const float *coslat, const float dlat, const float dlon, float *hprev, float *hcur, float *new_h, const float H, const int NLON, const int NLAT)\n",
"```"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "d326bb76-183d-4289-a4d9-2c0c51c0a68e",
"metadata": {},
"outputs": [],
"source": [
"\n",
"def tick(self, dt=None):\n",
" if dt:\n",
" dt=dt\n",
" # leap frog phase odd\n",
" self.new_u[:] = self.u - g*dt/(R*coslat*dlon)*du(H)\n",
" self.new_v[:] = self.v - g*dt/(R*dlat)*dv(H)\n",
" self.u = self.new_u*self.mask\n",
" self.v = self.new_v*self.mask\n",
" # leap frog phase even\n",
" self.new_h[:] = Hprev - 2*dt/(R*coslat) * H * (\n",
" du(self.u)/dlon + dv(self.v*coslat)/dlat\n",
" )\n",
" Hprev[:] = H\n",
" H[self.mask] = self.new_h[self.mask]\n",
" self.t+=dt\n",
" return H"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "51dd5381-addc-471b-af4e-c960754e7cd2",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Result: [ 1. 2. 3. 4. 5. 6. 7. 8. 9. 10.]\n"
]
}
],
"source": [
"import ctypes\n",
"import numpy as np\n",
"\n",
"cuda = ctypes.CDLL(\"C:/Users/umarzein/Desktop/cudaprog/simple/cuda_sum.dll\")\n",
"\n",
"# Define signatures\n",
"cuda.gpu_alloc_float.argtypes = [ctypes.c_int]\n",
"cuda.gpu_alloc_float.restype = ctypes.c_void_p\n",
"\n",
"cuda.gpu_free.argtypes = [ctypes.c_void_p]\n",
"cuda.gpu_free.restype = None\n",
"\n",
"cuda.gpu_copy_to_device.argtypes = [ctypes.c_void_p,\n",
" ctypes.POINTER(ctypes.c_float),\n",
" ctypes.c_int]\n",
"cuda.gpu_copy_to_device.restype = ctypes.c_int\n",
"\n",
"cuda.gpu_copy_to_host.argtypes = [ctypes.c_void_p,\n",
" ctypes.POINTER(ctypes.c_float),\n",
" ctypes.c_int]\n",
"cuda.gpu_copy_to_host.restype = ctypes.c_int\n",
"\n",
"cuda.gpu_add_arrays.argtypes = [ctypes.c_void_p, ctypes.c_void_p,\n",
" ctypes.c_void_p, ctypes.c_int]\n",
"cuda.gpu_add_arrays.restype = ctypes.c_int\n",
"\n",
"# Data\n",
"n = 10\n",
"a = np.arange(n, dtype=np.float32)\n",
"b = np.ones(n, dtype=np.float32)\n",
"c = np.zeros(n, dtype=np.float32)\n",
"\n",
"# Allocate device buffers\n",
"d_a = cuda.gpu_alloc_float(n)\n",
"d_b = cuda.gpu_alloc_float(n)\n",
"d_c = cuda.gpu_alloc_float(n)\n",
"assert type(d_a)==int\n",
"# Copy host → device\n",
"cuda.gpu_copy_to_device(d_a, a.ctypes.data_as(ctypes.POINTER(ctypes.c_float)), n)\n",
"cuda.gpu_copy_to_device(d_b, b.ctypes.data_as(ctypes.POINTER(ctypes.c_float)), n)\n",
"\n",
"# Call kernel multiple times (reusing GPU memory)\n",
"for i in range(3):\n",
" cuda.gpu_add_arrays(d_a, d_b, d_c, n)\n",
"\n",
"# Copy result back\n",
"cuda.gpu_copy_to_host(d_c, c.ctypes.data_as(ctypes.POINTER(ctypes.c_float)), n)\n",
"\n",
"print(\"Result:\", c)\n",
"\n",
"# Cleanup\n",
"cuda.gpu_free(d_a)\n",
"cuda.gpu_free(d_b)\n",
"cuda.gpu_free(d_c)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "b294b190-059f-4261-8e78-cd1fe475732e",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"47292875776"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"d_c"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "84fcad5a-eb73-4764-a917-456092524429",
"metadata": {},
"outputs": [
{
"ename": "NameError",
"evalue": "name 'im' is not defined",
"output_type": "error",
"traceback": [
"\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[1;31mNameError\u001b[0m Traceback (most recent call last)",
"Cell \u001b[1;32mIn[11], line 1\u001b[0m\n\u001b[1;32m----> 1\u001b[0m \u001b[43mim\u001b[49m\n",
"\u001b[1;31mNameError\u001b[0m: name 'im' is not defined"
]
}
],
"source": [
"im"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "3dc9b61c-807b-4eed-a2d8-f6c604565093",
"metadata": {},
"outputs": [
{
"ename": "NameError",
"evalue": "name 'N_FRAMES' is not defined",
"output_type": "error",
"traceback": [
"\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[1;31mNameError\u001b[0m Traceback (most recent call last)",
"Cell \u001b[1;32mIn[9], line 1\u001b[0m\n\u001b[1;32m----> 1\u001b[0m \u001b[43mN_FRAMES\u001b[49m\n",
"\u001b[1;31mNameError\u001b[0m: name 'N_FRAMES' is not defined"
]
}
],
"source": [
"N_FRAMES"
]
},
{
"cell_type": "code",
"execution_count": 110,
"id": "2d5e0cda-d83b-4e63-9343-33ddc115c7f7",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"dx = 0.5000, dt = 0.02019, nt = 2971, c = 9.9045\n"
]
},
{
"data": {
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",
"text/plain": [
"<Figure size 1000x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Initial energy E0 = 2.173472e+01\n",
"Forward-Euler final energy = 1.104897e+159 (relative change 5.084e+157)\n",
"Leapfrog final energy = 2.173725e+01 (relative change 1.165e-04)\n"
]
}
],
"source": [
"# Python simulation comparing Leapfrog vs Forward-Euler (no-leapfrog) schemes\n",
"# for the 1D Linear Shallow Water Equations:\n",
"# h_t + H0 * u_x = 0\n",
"# u_t + g * h_x = 0\n",
"#\n",
"# Leapfrog time-stepping (centered in time) vs Forward-Euler (no leapfrog).\n",
"# Periodic boundary conditions, centered spatial derivatives.\n",
"\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"# Physical parameters\n",
"g = 9.81 # gravity\n",
"H0 = 10.0 # mean depth\n",
"\n",
"# Domain\n",
"L = 200.0\n",
"nx = 400\n",
"dx = L / nx\n",
"x = np.linspace(0, L - dx, nx)\n",
"\n",
"# Wave speed and time step (CFL)\n",
"c = np.sqrt(g * H0)\n",
"CFL = 0.4 # Courant number\n",
"dt = CFL * dx / c\n",
"t_final = 60.0\n",
"nt = int(np.round(t_final / dt))\n",
"\n",
"print(f\"dx = {dx:.4f}, dt = {dt:.5f}, nt = {nt}, c = {c:.4f}\")\n",
"\n",
"# Initial condition: gaussian hump in h, u = 0\n",
"x0 = L/2\n",
"sigma = 10.0\n",
"h0 = 0.5 * np.exp(-0.5 * ((x - x0) / sigma)**2)\n",
"u0 = np.zeros_like(x)\n",
"\n",
"def periodic_derivative(f):\n",
" return (np.roll(f, -1) - np.roll(f, 1)) / (2 * dx)\n",
"\n",
"def total_energy(h, u):\n",
" return 0.5 * np.sum(H0 * u**2 + g * h**2) * dx\n",
"\n",
"# --- Forward-Euler (no leapfrog) solver ---\n",
"h_fe = h0.copy()\n",
"u_fe = u0.copy()\n",
"energy_fe = []\n",
"times = []\n",
"\n",
"for n in range(nt):\n",
" dhdx = periodic_derivative(h_fe)\n",
" dudx = periodic_derivative(u_fe)\n",
" # Forward Euler update (FTCS)\n",
" h_fe_new = h_fe - dt * H0 * dudx\n",
" u_fe_new = u_fe - dt * g * dhdx\n",
" h_fe, u_fe = h_fe_new, u_fe_new\n",
" if n % 10 == 0:\n",
" energy_fe.append(total_energy(h_fe, u_fe))\n",
" times.append((n+1)*dt)\n",
"\n",
"# --- Leapfrog solver ---\n",
"# first step via Forward Euler, then leapfrog\n",
"h_lf = h0.copy()\n",
"u_lf = u0.copy()\n",
"dhdx = periodic_derivative(h_lf)\n",
"dudx = periodic_derivative(u_lf)\n",
"h_lf1 = h_lf - dt * H0 * dudx\n",
"u_lf1 = u_lf - dt * g * dhdx\n",
"\n",
"h_prev = h_lf.copy()\n",
"u_prev = u_lf.copy()\n",
"h_curr = h_lf1.copy()\n",
"u_curr = u_lf1.copy()\n",
"\n",
"energy_lf = [total_energy(h_prev, u_prev), total_energy(h_curr, u_curr)]\n",
"times_lf = [0.0, dt]\n",
"\n",
"for n in range(2, nt+1):\n",
" dhdx = periodic_derivative(h_curr)\n",
" dudx = periodic_derivative(u_curr)\n",
" h_next = h_prev - 2.0 * dt * H0 * dudx\n",
" u_next = u_prev - 2.0 * dt * g * dhdx\n",
" h_prev, h_curr = h_curr, h_next\n",
" u_prev, u_curr = u_curr, u_next\n",
" if n % 10 == 0:\n",
" energy_lf.append(total_energy(h_curr, u_curr))\n",
" times_lf.append(n*dt)\n",
"\n",
"# Plot: h at final time\n",
"plt.figure(figsize=(10, 4))\n",
"plt.plot(x, h_fe, label='Forward-Euler (no leapfrog)')\n",
"plt.plot(x, h_curr, label='Leapfrog')\n",
"plt.title('Surface elevation h(x) at final time')\n",
"plt.xlabel('x')\n",
"plt.ylabel('h')\n",
"plt.legend()\n",
"plt.grid(True)\n",
"plt.show()\n",
"\n",
"# Plot: energy vs time\n",
"plt.figure(figsize=(10, 4))\n",
"plt.plot(times, energy_fe, label='Forward-Euler (no leapfrog)')\n",
"plt.plot(times_lf, energy_lf, label='Leapfrog')\n",
"plt.title('Total energy vs time')\n",
"plt.xlabel('time (s)')\n",
"plt.ylabel('Energy')\n",
"plt.legend()\n",
"plt.grid(True)\n",
"plt.show()\n",
"\n",
"# Print energy diagnostics\n",
"E0 = total_energy(h0, u0)\n",
"E_fe_final = total_energy(h_fe, u_fe)\n",
"E_lf_final = total_energy(h_curr, u_curr)\n",
"print(f\"Initial energy E0 = {E0:.6e}\")\n",
"print(f\"Forward-Euler final energy = {E_fe_final:.6e} (relative change {(E_fe_final-E0)/E0:.3e})\")\n",
"print(f\"Leapfrog final energy = {E_lf_final:.6e} (relative change {(E_lf_final-E0)/E0:.3e})\")\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "1bdf8387-2421-4ac7-97cf-b9048d8595f7",
"metadata": {},
"outputs": [],
"source": [
"#1\n",
"for n in range(nt):\n",
" dhdx = periodic_derivative(h_fe)\n",
" dudx = periodic_derivative(u_fe)\n",
" # Forward Euler update (FTCS)\n",
" h_fe_new = h_fe - dt * H0 * dudx\n",
" u_fe_new = u_fe - dt * g * dhdx\n",
" h_fe, u_fe = h_fe_new, u_fe_new\n",
" if n % 10 == 0:\n",
" energy_fe.append(total_energy(h_fe, u_fe))\n",
" times.append((n+1)*dt)\n",
"\n",
"#2\n",
"for n in range(2, nt+1):\n",
" dhdx = periodic_derivative(h_curr)\n",
" dudx = periodic_derivative(u_curr)\n",
" h_next = h_prev - 2.0 * dt * H0 * dudx\n",
" u_next = u_prev - 2.0 * dt * g * dhdx\n",
" h_prev, h_curr = h_curr, h_next\n",
" u_prev, u_curr = u_curr, u_next\n",
" if n % 10 == 0:\n",
" energy_lf.append(total_energy(h_curr, u_curr))\n",
" times_lf.append(n*dt)"
]
},
{
"cell_type": "code",
"execution_count": 98,
"id": "41ff3732-a6ff-451e-bc18-d9eee7f78fa7",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.07510765191947465"
]
},
"execution_count": 98,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sim.R * min(sim.dlon * np.min(sim.coslat), sim.dlat) / (sim.g * sim.H)**.5"
]
},
{
"cell_type": "code",
"execution_count": 104,
"id": "05fca0df-fe22-4ca6-ab2a-328a0eefd7f2",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"dt: 0.0016666666666666668\n",
"right-hand: 2.0202020202020202e-07 0.99999999995 2.0202020202020202e-07\n"
]
},
{
"data": {
"text/plain": [
"2.0202020202020202e-07"
]
},
"execution_count": 104,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Simulator().dlon"
]
},
{
"cell_type": "code",
"execution_count": 59,
"id": "fabdd3c8-1779-441c-9bc0-4fa2ef243f8b",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(100, 100)"
]
},
"execution_count": 59,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sim.tick().shape"
]
},
{
"cell_type": "code",
"execution_count": 48,
"id": "eee54b23-3161-4e6b-b24d-1aa1d5d4c0c8",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 800x800 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"N=100\n",
"g=9.81\n",
"R=6_378_000\n",
"lat_L=-0.001\n",
"lat_R=0.001\n",
"lon_L=-0.001\n",
"lon_R=0.001\n",
"lat=np.linspace(lat_L,lat_R,N)\n",
"dlat=(lat_R-lat_L)/(N-1)\n",
"lon=np.linspace(lon_L,lon_R,N)\n",
"dlon=(lon_R-lon_L)/(N-1)\n",
"latlon=np.stack(np.meshgrid(lat,lon,indexing='ij')).transpose(1,2,0)\n",
"u=np.zeros((N,N))\n",
"v=np.zeros((N,N))\n",
"h=np.random.randn(N,N)/100\n",
"h[:10,:10]=np.random.randn(10,10)+10\n",
"hprev=h.copy()\n",
"mask=np.ones((N,N),dtype=bool)\n",
"mask[0]=False\n",
"mask[-1]=False\n",
"mask[:,0]=False\n",
"mask[:,-1]=False\n",
"H=30\n",
"\n",
"def d(u,axis):\n",
" out = np.zeros_like(u)\n",
" if axis == 0:\n",
" out[1:-1,:] = (u[2:,:] - u[:-2,:]) / 2\n",
" elif axis == 1:\n",
" out[:,1:-1] = (u[:,2:] - u[:,:-2]) / 2\n",
" return out\n",
"def du(u): return d(u,1)\n",
"def dv(v): return d(v,0)\n",
"\n",
"coslat = np.cos(latlon[...,0])\n",
"\n",
"t=0\n",
"dt=1/fps\n",
"T=nSeconds+dt\n",
"new_u = u.copy()\n",
"new_v = v.copy()\n",
"new_h = h.copy()\n",
"\n",
"dx = R*np.min(coslat)*dlon\n",
"dy = R*dlat\n",
"c = (g*H)**0.5\n",
"assert dt < min(dx,dy)/c\n",
"\n",
"fig = plt.figure(figsize=(8,8))\n",
"im = plt.imshow(h, interpolation='none', aspect='auto', vmin=0, vmax=1)\n",
"\n",
"snapshots=[]\n",
"first=True\n",
"while t<T:\n",
" # leap frog phase odd\n",
" new_u[:] = u - g*dt/(R*coslat*dlon)*du(h)\n",
" new_v[:] = v - g*dt/(R*dlat)*dv(h)\n",
" u = new_u*mask\n",
" v = new_v*mask\n",
"\n",
" # leap frog phase even\n",
" if first:\n",
" new_h[:] = h - dt/(R*coslat) * H * (\n",
" du(u)/dlon + dv(v*coslat)/dlat\n",
" )\n",
" first=False\n",
" else:\n",
" new_h[:] = hprev - 2*dt/(R*coslat) * H * (\n",
" du(u)/dlon + dv(v*coslat)/dlat\n",
" )\n",
"\n",
" hprev[:]=h\n",
" h[mask]=new_h[mask]\n",
" snapshots.append(h.copy())\n",
" t+=dt\n"
]
},
{
"cell_type": "code",
"execution_count": 47,
"id": "3cbb06f8-1ff6-4805-b8b7-9d372e79c112",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"7.510761436940719"
]
},
"execution_count": 47,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"R*min(dlon*np.min(coslat),dlat)/(g*H)**.5"
]
},
{
"cell_type": "code",
"execution_count": 40,
"id": "76c2c746-f8f1-4998-a43f-ea969070adfd",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"134.35261032694623"
]
},
"execution_count": 40,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"1/0.007443100640668658"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "82e12a03-4ea9-4895-aa7e-0f16c7185fe0",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 0.00000000e+00, -9.88599909e-05, -2.18156059e-05, ...,\n",
" 3.18709441e-05, 1.18941962e-05, 0.00000000e+00],\n",
" [-6.62000537e-05, 1.98069517e-05, 4.31763878e-05, ...,\n",
" -1.77271671e-04, -1.19537147e-04, 5.06429004e-05],\n",
" [ 3.00758440e-05, 1.77399119e-04, -7.02886545e-05, ...,\n",
" 1.03851518e-04, 2.26207473e-05, -2.42709506e-05],\n",
" ...,\n",
" [-2.14695799e-05, 1.43054302e-04, 1.74209215e-04, ...,\n",
" 7.02080454e-05, 5.66142295e-05, -5.01563783e-05],\n",
" [ 3.71767943e-05, -5.31600020e-05, -1.07379509e-04, ...,\n",
" -1.05206267e-04, -1.52076372e-05, 2.91982494e-05],\n",
" [ 0.00000000e+00, -3.97050526e-05, -5.96978943e-05, ...,\n",
" -1.51696137e-05, -5.10087271e-05, 0.00000000e+00]])"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"2*dt/(R*coslat) * H * (\n",
" du(u)/dlon\n",
" + dv(v*coslat)/dlat\n",
" )"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "18e513fb-e647-486d-8a1e-3127451ea80c",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x1bcd6936140>"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.imshow(snapshots[-1]-snapshots[0])"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "d6bb097a-e12e-4096-9521-fb71c2172edb",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x1bcd45886d0>"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.imshow(snapshots[-1])"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "5c749d35-d4fb-4db4-b67a-f4f1cf03a596",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x1bcd5f9bf10>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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NsnQMVdTG0oM4poEd6EbufBE5/oS2DLKb0PbkseF8BDV7Rr4VbUseB7rf5vcRp183iOMyegte17QyCOXJGNm8MgncauZBXJzfDWi5trhdhMnnJyqI08+wlNAGLCrnNmyTRbMRBduYtBNLw63OU/vtM7ieYiyrqa2X2nTh2xuwzoMuwWoE7bp90+QinGpGm0rOgffJaGvIxOxqtqNoY7Rqy2B+K8v0yUI7+JiHDLRGrCW49jxNqHszMUK2KOsI2pLTHjQ+hVI074abcV45nJ24RgJeKrdcg8+Nvkl02dZNqI4J9uCYxDYF1tG8Vz+P6/QX8Y1QrlyNKY1nVtAcGHx0nVzszedykC8hgUAgEBQN8hISCAQCQdEgLyGBQCAQFA0L1iYUr8or42sy6BdHSTbeVo/8ZkkXkxpPERkaKOM2B2YnuR1lcDIXiVc1BXBoUtNoi7Jq9Ll5dQDqjAMsNYKD2pFYhNz01Pcxxmj2BoxJ8HUSB264YQ7qQhaMi8j6iT8vOY7tjzRi30suUAdO78dYH/sMi9GpwN96NIX56E7k+0vdyHObv0t8f5bZ78IsvMoYIK6a27/yAWYj2oDj6PbTfZMzGNSSsiIHbpuhMU2lmE0xyAJiNDPD+HbeKCxGDmKQjlkzHXjZuY5dmBqh5b/R34Ndf4E2k1ycrcVyWiOmCNrZ+LjVeNA+Nn8b/dZ4Cu0ItlfxvqE2LW5rCeP4k9imZBXZBtylaGfLHfFDuemuPigP/6i1cJxahnYebzm2f2aC9tZ1K9GWGW3ANXL41aWFY4OZpcNgcjR5HEaVKKcJW1mL6eJPHsT9Ut1Bcxm5iLJDqVKceEOC5tn3EraBx0Ql7sC4xpi2rvVnolJKGaew73HtOfPhdRi39d2jGLel27Qnb8Z55qnAxy/iGjdqNmGflgY9a2E2uCtAvoQEAoFAUDTIS0ggEAgERYO8hAQCgUBQNCxYm1DWmVf512xCegxCKbMBjW/H39k0TSUzS2NrXRWA8uQQ2lQMfrKTWJwsTugixiCkSqkdyTn05+dvdj3OIBVlMUXlSOKbQjgl8UrilA0nsb0ONCuoxmeIh734xyzlRQyv2/9OIsEbWjEF9HA/8r7+0/hb9x2kWReaxXid6RE/tnEJjYZjE6b+NhxAm4ShUkvj3oH2r2ozi/Vh8VRjN9EcuHrQBmTcinarlJFiOfJMk86K2QBUXLOHGauQL/ceYHEcazHOZkkzjevQPszbnjiBYzz937VrMzuPZQ7LpWsoyGt6Fu04pSW46G1mtDGC3cqJfc9fgzYIy3l/4dhVh30LsZgv2xiVjXV43XgZ7tkLe1qhnNPslR2rB6GuaxRj4Qxxus+hH62GumQJ3teoLQNzF9pfHLdivMvULNpxnafo/BNHF0OduRHH2Po1sntGbmVpOFJM4y1C+31uDe5R+xjTARzEveW/QNfKsSe3JcpThdAa/74NY30MMbxP41UUc9Rzuh7q0syYaUxgf0zaspgb9VP74hInJBAIBILfAMhLSCAQCARFw4Kl42pXTBYyqw6fpU/ypAfpq6YV6D452E3ntn0P3YV7avDz1jOM7+CUjz5TE+U4NIZ6ljJikj53s1akG3Ie/CRPBehcoxPruEutiSmnmBJ0gmlDAOrCfUghRJrIhdPViRdOrEW3WderRCWNJtCt1JLE34YXYf8CQ0SjGRl15JjBMc3a6XN+fgBl7a0s22g2QmM+OIc0jGLjVGFnMkRD1A4u15Tr8kM5U0L98TcFoC6Qx3PzWuZI5xm8cOpalMQxRFGy5UIPpW9YfW0v1F18ZhG2STsuP8Sy+rI1bzURjWMeQBdaQylSj50DmBFVy5ahLCG8biSA/XPNUn1gFuloxWgmnbbJnvVD3VXXd0L56DhSqdEhWsdnepEO8p5G+jq6idZxgqXs8LRjyEU8Sb9NDmP7J/rLoFzdgr+NZejajc8ibTZ8PbrxJ33Ud7MPaajsDK4JPfOqvQppPfcRlqbGgGMcraff2pbh2rP9AJ8F8x10rqWHhSE04kNm/l9oPnLXYJ3VzWSserlZgsbGNkn7N5t4868W+RISCAQCQdEgLyGBQCAQFA3yEhIIBAJB0bBgbULDo2XK6LjEd+t2htoPo+RHz3Po7lm5nfyWTQ+iHcTycjOU05zm1rhdxVMh2NFFOGXVuOosk95ndpKcW0vHzCRYEivQbpWLoHuxwaelM44hv5yzYxu93TROKUYvmy3Ia+t2nipU9VBZpOHV/HLsX83TdJ/R67ANji3ohh24SG7lS9pHsL1W5M9H/g/Jocx24D3ts1ieX4H3/dO3/6Jw/M2Hb4O6aAfa80r30zjO+ZDfz1vZvE/RfMUWIT9e8684yPnF+DddQpOy6TyKaZH903gf35PUpum1Cusu4LmjZ8mG52Uy/emn0fXbytJ9x+upTXmeziCN7delbMzTuC79zP7iXUxzOTCB9pZ9+9uhbKxn+1KzTS1ahTberhTaiDY3kTvx8aGlUOd4BG2OwTtpvvKmK7saTwxj+IOpnvaHmYU3uNoCUM6f9tO53WhXK9k0DeW5Li1tRRLHdH45FC+bn3w1jXGESVPV3o17K3eRbIGtq7Gu6wLm+55drdm0JnHzm/34fErW4l6ya+EzyQr9OSfpvQUCgUDwGwB5CQkEAoGgaJCXkEAgEAiKhgVrE9qx7KKyui/xk/vsJJsx8ATagExMgn2qR0sdwKRRkpswRsccwh8v6hil6/ycpbQO41DNrSbOeH0H2qkSWeR6+54ne0B6BfLh+XGM87CwdNlpv8azziFfa6/BOIOgGeMBsMF4H88Q/f0xvpONS5ClB2hAXngurPHeOeR+Q+fQHqBT8QMzyLtXfRfbO7WTjv3noUrNbkV7TMU+HOPv9G4pHEc7WCrwc9j3tE6ns7TOZi/eJxumNvI07mFU4lHOKRb3tIrGzcZSjM96WCpqLcbiMvvXtTj+di0lRoLZfFKL8Nx8Fv/OdHSjXVGHGZemss9Rf1IYYqeiB1Fyabaa1oExyfNJoB3B3Il9T2oSWD2vYn4Pgxtj1LofXVY4zm7FvkZGcT1lNVuOmdmAcjVMViaD9b4lFIdjPItrOsZss6Z3k8RUuhvX+EwvkwarorHIM1uyBbehuummo1B+8uxKapMdT75wEePBDFo8YlcXi73qZo99rRk8PbylA++TZrZx+wztrUSjZm9UYhMSCAQCwW8A5CUkEAgEgqJhwdJxU/fWKbPp0mdvUxm9K+eYG6O/Fz8P81uIU5ixM/0W5vKY8WN54lmi4CLL8boGG36nOrvok3z4KGZa5Aq3cZ0GZC7YS9ag+2TmfpTQ6b9To2mmkCYz96NUx+LbKOXpwBH8BHdMMemXsKYOHce/RTJ+pgTMqAqzxoJYQkw+h2VljWkyK9sb+6HurL8DyqWa1NDMBpYJ8xxSYSW/NwTlWhfRJyefWwl1wTaWfTeuZYNkqtOBCXS7NutLpAOzfEbHcX1l7Tg/Ga0+5cP15BjGdZDyURsTWHVZVtlEJZ3r7cXxT5YgVZS3YN/Tq6i/vuew/TNXIxXprA4UjssfZhk1P4Yq1LGf0roNX400WSaMHfJuQ/n3qCavk7iIvB9XOQ+0a2uThTs4ZrCv4TDNR9bFeKZ5HFOmkKPm0tQOn5uFCzhwnCJniXLLedlaC+OFDRGir+wrAlAXb8Hf/vwkqoTbR7Q2M+/6lbu6odz5LLmvx2twP4fXIj2az1D/4B5KqRIbnqtntlVKKaVlq9az1/JMtleCfAkJBAKBoGiQl5BAIBAIigZ5CQkEAoGgaDDk8/n8Lz/t/x1CoZDy+XxqyaceUCbbJf7UPqu5inqZCzOqV4B0hKcHOfpIE/KURuYOnW8kLrtkN7p75u5CmZLUy+SiCnI/SqnyDciXzxwlvjztYecuxuuuLBuH8osnVxSO7ePIgdswESZIvRuRylXWIEvtsI5sNbkpdGE216CvrvUYc6nVMlimS9AVk8uhOBrJjpJkxg6/F+8T1lxfrQfRNhNdi3YG0yi2WbfzJBeh+61pnMnpe6jNVQewvXPtOE56Kgo9rYZSSq3acRHKJ4fQrT+nce2WYWyDYxKv5ZymtTmFiTBV6Wlmz4vQucEPoZ0qMsU2BHNB133mXX04Hzlmi0poe8k6j3vJNfrGj425zWj/4nJAXBLrzC3/UDje9E+fwjYxGaUl15BdkWdove1tqD/10ijZaoM9KOnjmGS2mi0BKEdHaf2Zy3HtuffiGKddNMaRduaOPoU2FouWWTVRfuXnUUkXFFWsiup5xlPVjHvJ0EP2PiNzBU+Wsj2bpLGwzbHnRDv2nSOvrS/DLPU1l0iooc98XgWDQeX1el/vp3T/K9YKBAKBQPBrhLyEBAKBQFA0yEtIIBAIBEXDgo0TytqUUq/R/hmH5sc+i1xoeDHymyYf+fCHLEzmZgK7m12KMSIr60hG/szSxVDnyCIn7h3U4jpKkEcdL8GYCpcmVZ9nr/2ZAZT1eCWKtg6ji/h14ypsb2gMbTUGP/Xd4UG7iOMxP5QjWvrd8sVzUBc8jTIl0SYc46pWStcwG8A2uGvxvvNaWmh7P9pFonmMU7FoPw0vwdiG5mps43gfytHrsUtZK/528aYJKA+80Fw4DuI0q/JTLJX5uyhddr4Tue3uJ5ZAueHGUSjPRMh2kFyMbbIyG1d4r75msA2zN+CY+nzE/0dY2m2TG++TY/EwerryRBmTGfLgPC9dQv0ZfRrldCwx/G3aqe3RQbync4LF+lyN/Vm5+xOF41KW4iLJ9tb5V0kCK9OE9pdnfrwFyg7tWvk1OKZ8H8YjuDbt47Tfy3fjnnSOYQr1wN/QXMa7UM6ISzCldJswT6XB2hRczGR9lmopvbtxLZrOo51Kl99xjuN9EjU4Fo5h6mukDe15ZmZ7NbAmZ+toLnWbqYHZT68E+RISCAQCQdEgLyGBQCAQFA0Llo4zdYSUyXnpc9v6BH166m6KSimlmCxJuZ8+lUPnKqHOwIRdkymk2E6co099zzTeJ7cE39fzWjlRgW2ofhl/O7mF6p3NIahz7PFDOWRDWsA8S36zCQtTQGbuq+YB+nR2rkfX3WALtqnyJbru/HKk34xMzdccZH3XVLR1V1CllIq0YZvsA9Rm7jrtOY6f+jmtey2P4ZiO/D7KueTa0CU1NUc/NuWwvaH/g67T8V3UwZo9eK5zEiVZxmfJVd/swL4tv64HyhdnkYbVJWicozj+Gz50Acr78vRb2wy2KVXDaDOtf0ubkGocfBlpMzMyRyAtlGcK9KoWqZjBPXStDKPuIouYPE2U2pRjElepUkYr9eG8uzUFpngFnuvrx2vFKug+ISc+vrjbcsVpmud4BfqfW7cgvRtjtKZnWAt3yOB1L/4Z3te9m54zxk1ImSfrmFTYpOY6zcIZXGyNpPxQVHYrzU+OKZVzyi2wnMqVV+EaCR2rgXJ0Je1L8wQ+YzzLcZxeXf89KO/4wp8VjnVX9SxXUr8C5EtIIBAIBEWDvIQEAoFAUDTIS0ggEAgERcOCtQllz3iVek22J3EH6dPERtA1cWUbpkLo/zlJeaSYG6yBuRuWHED+U+c0DVejJk6CZVPMa9kg8040Nk3sYOkNtBQMtnNo25jdgjaI5sZpKA/kNLsWkzvxnURX2NQ1ZG+aHEGZEv865HZDBnINNzGJn6wN78OlU9wvEX8eRhOEyo2hjSi/lGw3n1n7HNQ9dOEOKMebifOuvBHl/jNj6PrqOo1zGdfcTrMzbF6dOB+2UjKUTNzMXJgTuCUsXhocrj5z+sgiKHv68ARjNY2bJYJj+PRJTDdh1dKK5DmdPoISUsk4jfGFctwPq67thfJkDG0dUzN0vvM0Xtd0BssWzXwZXIa2GS4hlWiidby4CWWr+s6gO71jNe6tWb0PzJ6Us7E0Fg10H4sL987Ni1HnZs806R8lV6IN8aV134byDQ/9BZQzmv1v5FqWaZhnE+6gdmxswOfR4DfQjX9asw9XvgpVamojrhFuGwxHaH54yoi5BjTklh4mG9hIBm1AiqXHyCepfzyjcY5lhl198s+gbKzVnpnasLDk0leEfAkJBAKBoGiQl5BAIBAIigZ5CQkEAoGgaFiwNqFkXVoZHZe4yrUV5Od+aABtKudfaYGyVaNvc4zEN7P4l7n1+B/meRoOY6cf6pzzTOJfo6q3bT8DdS90LYNyzeN0nyFmgzBEkW+OfbcWyq0fIemUiRcxZffOjx6G8jO/IA7c4EfOONTnh3KJFgcRvB5tZ1mWzrv8BWYPezeln8gOou1JjxdRSinPPuKx/95+LdQly7CNlfto/Mf8OM+mMWxDouKNUwnkXcjZx6pwjJNz1CZTGOtMGMqkfA1kS4ieRmkU5/YZKIejGG+VqqZ5n3fjfQwxLKcbyPZU9hL2dW4V9rV5PdkdJp7BGKi+PrRThTvQ4GeZoPUXWYY2FaMNx81XTjIx6Rjai7I1OM9WTdK/9yyuYfs0nhtJsjWjVZvK2AQo3C+OASr7evDxNfBxHP/IKur7Na1oK7vqkf8G5Uf/5CEov2f/3XQfH9qTHFaMp5o+Tqlaeo6gDSi6FIrKf4Y6O349eyCxlAv5ORy3/BDZAitWoc10bTlKRh3bu7ZwnKvAeW59BNfT4E203iINLJVDNZPPWoz2voF+sllX79HSqaclvbdAIBAIfgMgLyGBQCAQFA3yEhIIBAJB0bBg03s3/o8vKaP9UiyI7n/O+U2zFXnsvB5kMcx47Grkx3mc0Nwa7VosXsFbippQ1p/56TiC505sZVpZ9fRb2yuYtjq1AzXeUsNod6g4Tsfzy/C6mSbkz3NRzTnfjG1a3TYM5f7HyHbA0zqnNqLgWK4f27T5aorHOHACSW9/J9OZW6txyizOyTSHN9bnmUvgcz07382YBn1mH8VCpFawVMdsHVQcp3ZEq7G9DXf2Q7lnL9kck/W49ixT2P7S1Rjj5b2fYnQufgTPvW4VxrQceGpV4XjtTVh3sAftngYtBYD3VexbYD2LO/s3HMepP6KxsTPbRrgTbSrpKqo3MXuRrRPva9ViiqJML42ngHeMoi1H/22wHdu0fgXOR+dLlLI742KaeiW4SNzntHTTbI3H2nCc/MfQ9hRp0LTjmOakIYNjqtsR+X1KunEfJn30W26Tdvfgj2Ms5YKe/jtTgePk7sb2R1fQs2753zDb5T/hmh+fJfur7RTG+XG9Tb4PQ8voP0weTdsullCDf/i3kt5bIBAIBAsb8hISCAQCQdGwYOm46xffq8ymS3RZuoo+54b+BL8P68sCUI58lyRCpq7BT1bdvVMppco68Vojt1PZdYFlZZ3BYZrdpl07he9yix9psnSQaD/HCH5ym9A7Whl3oKSJzUKfu5mfo3RNgsne33LHwcLxc0PoJm7c64fyorsuFo4Hv4fpRedXIg1gnUN34upD1Hfbf0VarOc0upFXal7kEzfgt7zTj52PhUiKp+oFHKeZtVBUJUuZDNEJopKWXo0Uztj3kM6a0/rnqEPqMTGIdKmeSZLLqORYZg3u3h2vpvu4hpgEy1Jcm5ZZoqi82Hw1vxzXXkkXzXv8ZkwNYtmDru2hDdgo+0Ua48QSrCt9GTsU0ry9OaVmm0RKTadpkktxXnnqhmQNrgNTSHPt5ZRaF+5D2xyNRdrDaG8mjRTUvKWzVUybKsBcv+uRFo9rWYvfvu0Y1D313EYop300NnWtSH1NH6mCcqaFxryhEvf61F50bY+3IGVo0OR1TBFcT5w2S5fSf5QdZeEALhy3uJYqxLoE15PhIK4nno1XacWsi9Z7Lp5Qw3/xBaHjBAKBQLCwIS8hgUAgEBQNb+kl9OCDD6qNGzcqj8ejKisr1R133KG6u7vhnHw+r+677z5VW1urHA6H2rlzpzp79uyvtNECgUAg+O3AW7IJ3Xzzzep973uf2rhxo8pkMupzn/ucOnPmjDp37pxyuS658X75y19W999/v3r44YfVkiVL1Je+9CX18ssvq+7ubuXxeH7JHcgm1PTtzyuj8xKXnNckQfJM2sLnR3fcxDGSHs+uQL7fcBFdjY3M1dI9pPHNbqwLrkF+VmnVtmHGL6OyhXKPEz/r++QQ1J3tQZl7g5WlK9ckc4KoCKJSlW8s+1H5CvLAASYforc/VcHkiwLI99vmcCx011FDKXLtm1sHoHzqyeWFY9cOdGGeD+J8+L00l/PdKCGfLUUbSmk5cvi5Z8hexlRhLrN9GOZovjy9+HdYBpukoporL5e1sVhx3CwWrH/vIvKv//aBq6HOOovzU36SxjTpwzYlS3D8kxovb2m7sk0o0oTryRKia3PZpD+74RkoP/L1WwvHwU3MttSNdp6G62hdR7+Oa3pmJfY1xexLK1bRby8cbIa6TA2THRqi/cDd+LNXB6EcC2u2WDdex7yP2TqYDFTtprHC8cQ+7E+iAdeiWbPn5RvRHnZjG+ZGeG4PGTe567c5wkIwOvD5ZewmO9Wq6/GP/2NH2qDsmKR5jndgm1xunMvIsJbeg9lIKzxYHj6FaSGc43Qf7yB1KJNOqCM/fXM2obekHffMM7hIv/Od76jKykp17NgxdfXVV6t8Pq8eeugh9bnPfU7dddddSimlHnnkEVVVVaUeffRRdffdd192zWQyqZJJWiChUOiycwQCgUDw24n/lE0oGLz0l0dp6aW/Wvv7+9XExIS68cYbC+fYbDZ1zTXXqAMHDrzuNR588EHl8/kK/xoaGl73PIFAIBD89uE//BLK5/PqU5/6lNqxY4fq6OhQSik1MXFJ7bqqCt0Sq6qqCnUcn/3sZ1UwGCz8Gx4eft3zBAKBQPDbh/9wKoc/+ZM/UadPn1b79++/rM5gYJLk+fxl//fvsNlsymazXfb/7XXjyuK6xN0PP0xxLDM7kI/NvYS2g2QL8dzeA5jaOFGOvK9zA/r0pwJkV+AcsWUS41byzcSzZpxYF1iNtoLARmrT6NlGqDMwixyPiwgspRNcIziGy3egfel0P8XoJMpxajNO5P9LO+la2WE8N7ITJYpyQRxHS5h+m2b2ile7MZWATUuTnHy+AuqMW5Bvnh0gY87SRwJQ1/3fUE6k3Im2QD3re4qlsTBOsvVVR3MX9GLfeXyYHgdhvYBSNX/5gR9D+UtP3gXlh/t20nVb0IZlvIA2ifFr6NhTH4C6xHk/lHVbiGkUr5PFJqpsGe4XY1qzh/Xj36D/eGonlLPLtLg5D9oR8lm0CenxYYa78FzrOZw72wzaiLo1O5AtgOsp18A2iNbk5DYc06vqBqD8wpGOwnE8gnu0uRNtRHMrcI1MvUR2IAM2F1K+KKWUqZXWsesF3CtPRzGNe/tGamPXiSao+9Pbn4LyV/fdBOX6UzQf3czIa2Vml3gV7QHjCM5Vopml7DhPHYyy58bEKbSH2VksXExLYZ8oo8nJJYxK/VS9KfyHvoT+9E//VD3xxBPqpZdeUvX1tPiqq6uVUuqyr56pq
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