A carbuncle cure for the Harten-Lax-van Leer contact(HLLC)scheme using a novel velocity-based sensor  

作　　者：U.S.VEVEK B.ZANG T.H.NEW 

机构地区：[1]Department of Mechanical,Materials and Aerospace Engineering,University of Liverpool,Liverpool L693BX,United Kingdom [2]Department of Aerospace Engineering,University of Bristol,Bristol BS81TR,United Kindgdom [3]School of Mechanical and Aerospace Engineering,Nanyang Technological University,50 Nanyang Avenue,Singapore 639798,Singapore

出　　处：《Applied Mathematics and Mechanics(English Edition)》2021年第9期1259-1278,共20页应用数学和力学（英文版）

基　　金：the Singapore Ministry of Education AcRF Tier-2 Grant(No.MOE2014-T2-1-002);the Graduate Research Officer Scholarship from School of Mechanical and Aerospace Engineering,Nanyang Technological University,Singapore。

摘　　要：A hybrid numerical flux scheme is proposed by adapting the carbunclefree modified Harten-Lax-van Leer contact(HLLCM) scheme to smoothly revert to the Harten-Lax-van Leer contact(HLLC) scheme in regions of shear. This hybrid scheme, referred to as the HLLCT scheme, employs a novel, velocity-based shear sensor. In contrast to the non-local pressure-based shock sensors often used in carbuncle cures, the proposed shear sensor can be computed in a localized manner meaning that the HLLCT scheme can be easily introduced into existing codes without having to implement additional data structures. Through numerical experiments, it is shown that the HLLCT scheme is able to resolve shear layers accurately without succumbing to the shock instability.

关 键 词：CARBUNCLE shock instability Euler equation numerical flux Harten-Laxvan Leer contact(HLLC)scheme 

分 类 号：O241.82[理学—计算数学] O351.2[理学—数学]