SUPG finite element computation of inviscid supersonic flows with YZβ shock-Capturing

Stabilization and shock-capturing parameters introduced recently for the Streamline-Upwind/Petrov–Galerkin (SUPG) formulation of compressible flows based on conservation variables are assessed in test computations with inviscid supersonic flows and different types of finite element meshes. The new shock-capturing parameters, categorized as “YZβ Shock-Capturing” in this paper, are compared to earlier parameters derived based on the entropy variables. In addition to being much simpler, the new shock-capturing parameters yield better shock quality in the test computations, with more substantial improvements seen for triangular elements.