High-order compact gas-kinetic schemes for three-dimensional flow simulations on tetrahedral mesh

Abstract A general framework for the development of high-order compact schemes has been proposed recently. The core steps are composed following. 1). Based on a kinetic model equation, from generalized initial distribution flow variables construct time-accurate evolution solution gas function at cell interface and obtain corresponding flux function; 2). Introduce WENO-type weighting functions into time-derivative in multistage multi-derivative (MSMD) time stepping scheme to cope with possible impingement shock wave within step, update cell-averaged conservative inside each control volume; 3). Model both sides separately, take moments inner get variables, gradients 4). their gradients, develop data reconstruction condition distributions beginning next step. gas-kinetic (GKS) up sixth-order accuracy space fourth-order constructed 2D unstructured mesh. In this paper, GKS three-dimensional tetrahedral mesh will be further focus reconstruction. Nonlinear weights designed achieve smooth Navier-Stokes keep super robustness 3D computation strong interactions. uses large step CFL number 0.6 simulations subsonic hypersonic flow. series test cases used validate scheme. can applications complex geometry.