Created
April 7, 2020 04:43
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Finite difference for Burger's equation
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| using PyPlot | |
| using ADCMEKit | |
| NT = 2000 | |
| n = 100 | |
| Δt = 1.0/NT | |
| Δx = 1/n | |
| method = "Central" | |
| U = zeros(n+1, NT+1) | |
| U[:,1] = -sin.(LinRange(-1, 1, n+1)*π) | |
| for j = 2:NT+1 | |
| for i = 2:n | |
| if method == "Upwind" | |
| if i<=div(n, 2) | |
| U[i, j] = - U[i, j-1]*(U[i, j-1]-U[i-1, j-1])/Δx * Δt + U[i, j-1] | |
| else | |
| U[i, j] = - U[i, j-1]*(U[i+1, j-1]-U[i, j-1])/Δx * Δt + U[i, j-1] | |
| end | |
| elseif method == "Central" | |
| U[i, j] = - U[i, j-1]*(U[i+1, j-1]-U[i-1, j-1])/2Δx * Δt + U[i, j-1] | |
| end | |
| end | |
| end |
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