Compact high-order gas-kinetic schemes with spectral-like resolution for the simulation of high speed flow and aero-acoustics
报告题目(Title)：Compact high-order gas-kinetic schemes with spectral-like resolution for the simulation of high speed flow and aero-acoustics
报告人(Speaker)：徐昆（香港科技大学）
地点(Place)：后主楼1223室
时间(Time)：2020年1月10日 10:00-11:00
邀请人(Inviter)：潘亮
报告摘要
In this talk, a compact high-order gas-kinetic scheme (GKS) with spectral resolution will be presented and used in the simulation of acoustic and shock waves. For accurate simulation, the numerical scheme is required to have excellent dissipation-dispersion preserving property, while the wave modes, propagation characteristics, and wave speed of the numerical solution should be kept as close as possible to the exact solution of governing equations.
Based on the high-order gas evolution model, the GKS provides a time accurate solution at a cell interface, from which both time accurate flux function and the time evolving flow variables can be obtained. The GKS updates explicitly both cell averaged conservative flow variables and the cell-averaged gradients by applying Gauss-theorem along the boundary of the control volume. With the same stencil of a second-order scheme, a reconstruction up to 8th-order spacial accuracy can be constructed, which include the nonlinear reconstruction for initial non-equilibrium state and linear reconstruction for the equilibrium one. A series of numerical tests with acoustic and shock-vortex interaction are presented to demonstrate the validity of current scheme for capturing both small amplitude sound wave and shock discontinuity. The compact GKS provides the state-of-art numerical solutions in all test cases.
