A Streamline-Upwind/Petrov-Galerkin Formulation For Supersonic and Hypersonic Flow Simulations

In this talk, we deal with a simplified version of chemically reactive multi-species hypersonic flow around a cylinder. For this purpose, it is assumed that the flow environment only consists of nitrogen gas (N2), and no chemical reaction takes place in the flow field. Furthermore, the flow is assumed to be inviscid. A stabilized method is needed to prevent the numerical oscillations caused by the advection terms in the governing equations. Beyond that, a shock-capturing method is needed to obtain good solution profiles at the shocks. In this study, we use the compressible-flow Streamline-Upwind/Petrov-Galerkin method, complemented with the Y Zβ shock-capturing. The zero-normal-velocity condition on the cylinder is enforced weakly. Numerical simulations are carried out in the FEniCS ecosystem for both supersonic and hypersonic freestream conditions