An h-Adaptivity DG Method on Locally Curved Tetrahedral Mesh for Solving Compressible Flows

作     者：AN Wei HUANG Zenghui LYU Hongqiang 安慰;黄增辉;吕宏强

作者机构：College of Aerospace EngineeringNanjing University of Aeronautics and AstronauticsNanjing 210016P.R.China Key Laboratory of Aerodynamic Noise ControlChina Aerodynamics Research and Development CenterMianyang 621000P.R.China State Key Laboratory of AerodynamicsChina Aerodynamics Research and Development CenterMianyang 621000P.R.China 

出 版 物：《Transactions of Nanjing University of Aeronautics and Astronautics》 (南京航空航天大学学报（英文版）)

年 卷 期：2020年第37卷第5期

页      面：702-712页

核心收录：

学科分类：080103[工学-流体力学] 08[工学] 080104[工学-工程力学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the funding of the Key Laboratory of Aerodynamic Noise Control(No.ANCL20190103) the State Key Laboratory of Aerodynamics(No.SKLA20180102) the Aeronautical Science Foundation of China(Nos.2018ZA52002,2019ZA052011) the National Natural Science Foundation of China(Nos.61672281,61732006) 

主　　题：h-adaptivity discontinuous Galerkin(DG)method curved mesh tetrahedral mesh compressible flows 

摘      要：For the numerical simulation of compressible flows,normally different mesh sizes are expected in different *** example,smaller mesh sizes are required to improve the local numerical resolution in the regions where the physical variables vary violently(for example,near the shock waves or in the boundary layers)and larger elements are expected for the regions where the solution is smooth.h-adaptive mesh has been widely used for complex ***,there are two difficulties when employing h-adaptivity for high-order discontinuous Galerkin(DG)***,locally curved elements are required to precisely match the solid boundary,which significantly increases the difficulty to conduct therefiningandcoarseningoperations since the curved information has to be ***,h-adaptivity could break the partition balancing,which would significantly affect the efficiency of parallel *** this paper,a robust and automatic h-adaptive method is developed for high-order DG methods on locally curved tetrahedral mesh,for which the curved geometries are maintained during the ***,the reallocating and rebalancing of the computational loads on parallel clusters are conducted to maintain the parallel *** results indicate that the introduced h-adaptive method is able to generate more reasonable mesh according to the structure of flow-fields.