Rayleigh Bénard Convection - Discontinuous Galerkin - FEM - Navier-Stokes - Matlab/Python/C++

Опубликовано: 19 Май 2026
на канале: DGSEM
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Logarithm of Temperature

Code Runtime: 1 day on only 4 cores

Mesh Nx x Ny: 512x256 (whole domain)
Domain: [0,2]x[0,1]
Nelems=131072, Ndofs = 2097152
Compressible Navier-Stokes (Euler-Fourier)
The heat load is controlled via Robin-BCs
Polynomial Degree=3
Order of Convergence=4
Standard discontinuous Galerkin Method (DGSEM)
Modified HLLC Riemann solver
Lagrange Polynomials
Gauss-Legrende Distribution

Characteristic variables:
λ=1e-5 (conductivity)
g=-1.0 (gravity)
cp=1.015 (heat capacity)
cv=0.718 (heat capacity)