Compressible mixing layer computations with high-order ENO schemes
Initially it was expected that undesired oscillations in fourth order accurate ENO-schemes could be suppressed by using a more dissipative numerical flux function. Computations with a two-dimensional, compressible mixing layer at transonic Mach number using Roe’s and Van Leer’s flux functions show however that there is no significant influence of the numerical flux function on the undesired oscillations. This seems to imply that these unwanted oscillations are either caused by interpolations across steep gradients or by highly non centered interpolations. Note also that small structures are equally well resolved with both flux functions.
In the second part, grid-independent results were obtained for 800×1600 points for a four vortex simulation with a low-order TVD-scheme, while the ENO4 computation did not show this property with as much as 540×1080 points. Further work is needed to clarify on this point.
KeywordsMach Number Direct Numerical Simulation Vortical Structure Swiss Federal Institute Conservative Variable
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