Development of high order WENO schemes for large-eddy simulation of compressible flows in OpenFOAM

Abstract

Performing LES of compressible flows is a challenging affair. On the one hand, one strives to minimize numerical dissipation to preserve 'all' scales of motions. On the other hand, introducing some dissipation is necessary to guarantee numerical stability near sharp gradients and to capture shocks. High order shock-capturing schemes are able to meet these contradicting demands and WENO schemes are one class of such schemes that has found great success in the past few decades.Unfortunately, most, if not all, commercial software still rely on second order methods and do not allow the incorporation of new discretization schemes. While