Modified Upwinding Compact Scheme for Shock and Shock Boundary Layer Interaction  

作　　者：Chaoqun Liu Ping Lu Maria Oliveira Peng Xie 

机构地区：[1]Department ofMathematics,University of Texas at Arlington,Arlington,TX 76019,USA

出　　处：《Communications in Computational Physics》2012年第3期1022-1042,共21页计算物理通讯（英文）

基　　金：This work is supported by AFRL VA Summer Faculty Research Program.The authors thank Drs.Poggie,Gaitonde,Visbal for their support through VA Summer Faculty Program.

摘　　要：Standard compact scheme and upwinding compact scheme have high order accuracy and high resolution,but cannot capture the shock which is a discontinuity.This work developed a modified upwinding compact scheme which uses an effective shock detector to block compact scheme to cross the shock and a control function to mix the flux with WENO scheme near the shock.The new scheme makes the original compact scheme able to capture the shock sharply and,more importantly,keep high order accuracy and high resolution in the smooth area which is particularly important for shock boundary layer and shock acoustic interactions.Numerical results show the scheme is successful for 2-D Euler and 2-D Navier-Stokes solvers.The examples include 2-D incident shock,2-D incident shock and boundary layer interaction.The scheme is robust,which does not involve case related parameters.

关 键 词：Compact scheme WENO shock-boundary layer interaction shock detector 

分 类 号：TN9[电子电信—信息与通信工程]