Comparison of the performance of high-order schemes based on the gas-kinetic and HLLC fluxes

• The numerical performances of high-order GKS and HLLC methods are compared. comparison is based on both inviscid viscous solutions. robustness, efficiency, accuracy schemes analyzed. In this paper, a the performance two finite volume gas-kinetic scheme (GKS) fluxes carried out structured rectangular mesh. For schemes, fifth-order WENO-AO reconstruction adopted to achieve spatial accuracy. terms temporal discretization, two-stage fourth-order (S2O4) time marching strategy for WENO5-AO-GKS scheme, Runge-Kutta (RK4) method employed WENO5-AO-HLLC scheme. flow computation, includes in evolution single cell interface gas distribution function. While flux provided by Riemann solver, discretized sixth-order central difference method. Based tests forward Mach step, double reflection, shock tube, show outstanding capturing property. From Titarev-Toro shear layer tests, seems have better resolution than Both excellent robustness extreme cases, such as Le Blanc problem. cases Noh problem compressible isotropic turbulence, shows favorite robustness. turbulence three-dimensional Taylor-Green vortex problems, WENO-AO-GKS can use CFL number up 0.5, instead 0.3 WENO5-AO-HLLC. computational about 27% more expensive two-dimensional but 15% faster case, because needs multidimensional variables one normal tangential directions 3D case. Due multi-dimensionality, laminar boundary test.