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June 21, 2023, 12:32
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Solution of a "simple" linear system
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Senior Member
Matthew
Join Date: Mar 2022
Location: United Kingdom
Posts: 175
Rep Power: 4  |
Suppose I have the linear system:
rho_t+Urho_x+rho_0v_x=0 v_t+Uv_x=Dv_xx+aT_x T_t+UT_x=kT_xx+bv_x This is a mixed system of equations, one hyperbolic and two parabolic. I thought about upwinding the first-order derivatives and doing central difference for the second-order derivatives. The domain is for 0<=x<=1, and t>0. The method I used failed completely, I was using explicit Euler, with a low CFL number to get convergence, but the results were haywire. Any suggestions on how to get started? |
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| cfd, mixed type |
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