# Higher order downwind scheme

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 August 4, 2006, 09:09 Does anyone happen to know if #1 jelmer Guest   Posts: n/a 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

 August 4, 2006, 11:03 I think you mean upwind. Downw #2 Senior Member   Eugene de Villiers Join Date: Mar 2009 Posts: 725 Rep Power: 21 I think you mean upwind. Downwind is unconditionally unstable.

 August 4, 2006, 12:50 Be careful Eugene: he is solvi #3 Senior Member   Hrvoje Jasak Join Date: Mar 2009 Location: London, England Posts: 1,906 Rep Power: 33 Be careful Eugene: he is solving the adjoint equation. Hrv __________________ Hrvoje Jasak Providing commercial FOAM/OpenFOAM and CFD Consulting: http://wikki.co.uk

 August 7, 2006, 08:26 Thank you Hrv for explaining.. #4 jelmer Guest   Posts: n/a 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

 August 9, 2006, 06:43 found it! simply add '2': G #5 jelmer Guest   Posts: n/a found it! simply add '2': Gauss downwind 2; does the trick. Nice second order accurate solution! jlmr mm.abdollahzadeh likes this.