|December 26, 2007, 18:30||
Navier Stokes tvd
I want to solve the Navier-Stokes equations using upwind and symmetric TVD schemes(Yee, Klopper.. 1990). The flux F have to be modified using the R whose columns are eigenvectors of dF/dU.
F_mod = 1/2*(F_i + F_i+1 + R*phi)
I have R for the inviscid F but not the viscous version. What I did instead was to only modify the inviscid fluxes and leave the viscous fluxes as is. The stresses themselves were calculated using central differencing.
I compared simulation of an supersonic impinging jet using EUler and N-S. The flow contours using the latter had 'strips' emanating from the jet where as the Eulers eq produced a smoother flowfield. Also the simulation using N-S blows up just before impingement. Any suggestions?
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