Numerical Simulation of High-Speed Flows Over Complex Geometries with a High-Order Multi-Zone Cut-Cell Method

Results are presented for a new code designed to perform high-order direct numerical simulations of high-speed flows over arbitrary geometries. The simulations were performed on a Cartesian grid with the geometries imposed by a third-order cut-cell method. A multizone refinement method is also implemented to provide extra resolution at locations with expected complex physics. The simulations also utilize a fifth-order hybrid WENO scheme to capture any steep gradients in the flow created by the geometries. The combination results in a globally fourth-order scheme. Two-dimensional and three-dimensional test cases show good agreement with previous results and will be presented. Results confirming the high order of convergence will also be shown. The code was designed for studying the effects of isolated roughness elements on the stability of hypersonic boundary layers. Preliminary results for Mach 6 flow over a three-dimensional cylindrical roughness element will also be presented.