A Priori Subcell Limiting Approach for the FR/CPR Method on Unstructured Meshes

作     者：Guo-Quan Shi Huajun Zhu Zhen-Guo Yan 

作者机构：State Key Laboratory of AerodynamicsMianyangSichuan 621000China College of Aerospace Science and EngineeringNational University of Defense TechnologyChangshaHunan 410073China 

出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)

年 卷 期：2022年第31卷第4期

页      面：1215-1241页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.12172375,11902344) the Basic Research Foundation of National Numerical Wind Tunnel Project and the foundation of State Key Laboratory of Aerodynamics(Grant No.SKLA2019010101) 

主　　题：Flux reconstruction/correction procedure via reconstruction shock capturing subcell limiting unstructured meshes 

摘      要：A priori subcell limiting approach is developed for high-order flux reconstruction/correction procedure via reconstruction(FR/CPR)methods on twodimensional unstructured ***,a modified indicator based on modal energy coefficients is proposed to detect troubled cells,where discontinuities ***,troubled cells are decomposed into nonuniform subcells and each subcell has one solution point.A second-order finite difference shock-capturing scheme based on nonuniform nonlinear weighted(NNW)interpolation is constructed to perform the calculation on troubled cells while smooth cells are calculated by the CPR *** investigations show that the proposed subcell limiting strategy on unstructured quadrilateral meshes is robust in shock-capturing.