A CELL-CENTERED GODUNOV METHOD BASED ON STAGGERED DATA DISTRIBUTION, PART I: ONE-DIMENSIONAL CASE

作     者：Jiayin Zhai Xiao Li Zhijun Shen 

作者机构：Institute of Applied Physics and Computational MathematicsLCPP.O.Boc 8009-26Beijing 100088China College of Big Data and InternetShenzhen Technology UniversityShenzhen 518118China Institute of Applied Physics and Computational MathematicsLCPP.O.Boa 8009-26Beijing 100088China Center for Applied Physics and TechnologyHEDPSPeking UniversityChina 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：2024年第42卷第4期

页      面：1172-1196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] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.11971071,12302377) by the Foundation of LCP(Grant No.6142A05220201) by the China Postdoctoral Science Foundation(Grant No.2022M722185) 

主　　题：Godunov method Riemann solver Rarefaction wave Nonphysical entropy increase. 

摘      要：This paper presents a cell-centered Godunov method based on staggered data distribu-tion in Eulerian *** motivation is to reduce the intrinsic entropy dissipation of classical Godunov methods in the calculation of an isentropic or rarefaction *** the same time,the property of accurate shock capturing is also *** analyzing the factors that cause nonphysical entropy in the conventional Godunov methods,we introduce two velocities rather than a single velocity in a cell to reduce kinetic energy dissipation.A series of redistribution strategies are adopted to update subcell quantities in order to improve *** examples validate that the present method can dramatically reduce nonphysical entropy *** subject classification:35Q35,76N15,76M12.