Simple and robust h-adaptive shock-capturing method for flux reconstruction framework

作     者：Lintao HUANG Zhenhua JIANG Shuai LOU Xin ZHANG Chao YAN Lintao HUANG;Zhenhua JIANG;Shuai LOU;Xin ZHANG;Chao YAN

作者机构：School of Aeronautic Science and EngineeringBeihang UniversityBeijing 100191China Research Office No.12Beijing Institute of Astronautical Systems EngineeringBeijing 100076China 

出 版 物：《Chinese Journal of Aeronautics》 (中国航空学报（英文版）)

年 卷 期：2023年第36卷第7期

页      面：348-365页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China(No.11721202) 

主　　题：Adaptive mesh refinement Flux reconstruction Positivity-preserving scheme Robustness Shock-capturing 

摘      要：In this paper,a simple and robust shock-capturing method is developed for the Flux Reconstruction(FR)framework by combining the Adaptive Mesh Refinement(AMR)technique with the positivity-preserving *** adaptive technique avoids the use of redundant meshes in smooth regions,while the positivity-preserving property makes the solver capable of providing numerical solutions with physical *** compatibility of these two significant features relies on a novel limiter designed for mesh *** ensures the positivity of solutions on all newly created ***,the proposed method is completely positivity-preserving and thus highly *** performs well in solving challenging problems on highly refined meshes and allows the transition of cells at different levels to be completed within a very short *** performance of the proposed method is examined in various numerical *** solving Euler equations,the technique of Local Artificial Diffusivity(LAD)is additionally coupled to damp *** importantly,when solving Navier-Stokes equations,the proposed method requires no auxiliaries and can provide satisfying numerical solutions *** implementation of the method becomes rather simple.