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October 4, 2005, 21:39 |
Comparing explicit/implicit convective BCs
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#1 |
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when imposing a convective BC at the outlet, given by du/dt+(c)du/dx=0, it is possible to discretize as
explicit u(n+1,i+0.5) = u(n,i+0.5) - c*(dt/dx)*(u(n,i+0.5)-u(n,i)) or implicit u(n+1,i+0.5) = u(n,i+0.5) - c*(dt/dx)*(u(n+1,i+0.5)-u(n+1,i)) n refers to current(known) time step i refers to right extreme cell centered node. i+0.5 refers to right extreme(boundary) face location c = space-averaged streamwise exit velocity if i am using an implicit scheme, does it mean that i must use an implicit BC & vice versa? i've tried both for my implicit scheme but preliminary tests don't show much difference.... anyone care to comment? thanks |
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