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
• 来源期刊: 应用数学和力学（英文版）
• 年，卷（期）: 2021,（9）
• 页码范围: 1259-1278
• 页数: 20页
• 分类号: O241.82|O351.2
• 语种: 英文

摘要

A hybrid numerical flux scheme is proposed by adapting the carbuncle-free 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,re-ferred 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.