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Description
using OrdinaryDiffEq, LinearAlgebra, SparseArrays
const N = 32
const xyd_brusselator = range(0, stop = 1, length = N)
brusselator_f(x, y, t) = (((x - 0.3)^2 + (y - 0.6)^2) <= 0.1^2) * (t >= 1.1) * 5.0
limit(a, N) = a == N + 1 ? 1 : a == 0 ? N : a
function brusselator_2d_loop(du, u, p, t)
A, B, alpha, dx = p
alpha = alpha / dx^2
@inbounds for I in CartesianIndices((N, N))
i, j = Tuple(I)
x, y = xyd_brusselator[I[1]], xyd_brusselator[I[2]]
ip1, im1, jp1, jm1 = limit(i + 1, N), limit(i - 1, N), limit(j + 1, N),
limit(j - 1, N)
du[i, j, 1] = alpha * (u[im1, j, 1] + u[ip1, j, 1] + u[i, jp1, 1] + u[i, jm1, 1] -
4u[i, j, 1]) +
B + u[i, j, 1]^2 * u[i, j, 2] - (A + 1) * u[i, j, 1] +
brusselator_f(x, y, t)
du[i, j, 2] = alpha * (u[im1, j, 2] + u[ip1, j, 2] + u[i, jp1, 2] + u[i, jm1, 2] -
4u[i, j, 2]) +
A * u[i, j, 1] - u[i, j, 1]^2 * u[i, j, 2]
end
end
p = (3.4, 1.0, 10.0, step(xyd_brusselator))
function init_brusselator_2d(xyd)
N = length(xyd)
u = zeros(N, N, 2)
for I in CartesianIndices((N, N))
x = xyd[I[1]]
y = xyd[I[2]]
u[I, 1] = 22 * (y * (1 - y))^(3 / 2)
u[I, 2] = 27 * (x * (1 - x))^(3 / 2)
end
u
end
u0 = init_brusselator_2d(xyd_brusselator)
prob_ode_brusselator_2d = ODEProblem(brusselator_2d_loop, u0, (0.0, 11.5), p)
solve(prob_ode_brusselator_2d, TRBDF2(), save_everystep = false)(tester) pkg> status
Status `C:\Users\arno\Desktop\tester\Project.toml`
[1dea7af3] OrdinaryDiffEq v6.89.0 `https://github.com/SciML/OrdinaryDiffEq.jl.git#master`
julia> versioninfo()
Julia Version 1.10.5
Commit 6f3fdf7b36 (2024-08-27 14:19 UTC)
Build Info:
Official https://julialang.org/ release
Platform Info:
OS: Windows (x86_64-w64-mingw32)
CPU: 24 × AMD Ryzen 9 5900X 12-Core Processor
WORD_SIZE: 64
LIBM: libopenlibm
LLVM: libLLVM-15.0.7 (ORCJIT, znver3)
Threads: 12 default, 0 interactive, 6 GC (on 24 virtual cores)
Environment:
JULIA_NUM_THREADS = 12Linux works, it is Windows specific.
Rober works on both operating systems, so it is something specific to the Brusselator example.
The automatic solver choice works, so it is something specific to BDF maybe?
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