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Higher order downwind scheme

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Old   August 4, 2006, 09:09
Default Does anyone happen to know if
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jelmer
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Does anyone happen to know if there is second order version available of the downwind scheme? I would like to apply a second order scheme for the convection in the adjoint Euler equations. So far I could only find (and use succesfully) the first order downwind scheme, other schemes seem useless. There is nothing on downwind schemes in the manual either.

I tried to use schemes for vector fields in order to upwind according to the adjoint characteristic direction which is opposite to the physical characteristic direction, but this wasn't a cure either.

regards, jlmr
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Old   August 4, 2006, 11:03
Default I think you mean upwind. Downw
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Eugene de Villiers
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I think you mean upwind. Downwind is unconditionally unstable.
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Old   August 4, 2006, 12:50
Default Be careful Eugene: he is solvi
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Hrvoje Jasak
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Be careful Eugene: he is solving the adjoint equation.

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Old   August 7, 2006, 08:26
Default Thank you Hrv for explaining..
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jelmer
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Thank you Hrv for explaining...

So, nobody knows either who has implemented the downwind scheme so I can contact him or her?

Then my other question is: would copying and modifying (for instance) the MUSCL scheme from upwind to downwind be a smart and easy way to write a higher order downwind scheme myself...?

jlmr
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Old   August 9, 2006, 06:43
Default found it! simply add '2': G
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jelmer
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found it! simply add '2':

Gauss downwind 2;

does the trick. Nice second order accurate solution!

jlmr
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