A Third Order Conservative Lagrangian Type Scheme on Curvilinear Meshes for the Compressible Euler Equations

作     者：Juan Cheng Chi-Wang Shu 

作者机构：Institute of Applied Physics and Computational MathematicsBeijing 100088China Division of Applied MathematicsBrown UniversityProvidenceRI 02912USA 

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

年 卷 期：2008年第4卷第10期

页      面：1008-1024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：The research of the first author is supported in part by NSFC grant 10572028 Addi-tional support is provided by the National Basic Research Program of China under grant 2005CB321702 by the Foundation of National Key Laboratory of Computational Physics under grant 9140C6902010603 by the National Hi-Tech Inertial Confinement Fusion Committee of China.The research of the second author is supported in part by NSF grant DMS-0510345 

主　　题：Lagrangian type scheme high order accuracy conservative scheme curvilinear mesh WENO reconstruction compressible Euler equations 

摘      要：Based on the high order essentially non-oscillatory(ENO)Lagrangian type scheme on quadrilateral meshes presented in our earlier work[3],in this paper we develop a third order conservative Lagrangian type scheme on curvilinear meshes for solving the Euler equations of compressible gas *** main purpose of this work is to demonstrate our claim in[3]that the accuracy degeneracy phenomenon observed for the high order Lagrangian type scheme is due to the error from the quadrilateral mesh with straight-line edges,which restricts the accuracy of the resulting scheme to at most second *** accuracy test given in this paper shows that the third order Lagrangian type scheme can actually obtain uniformly third order accuracy even on distorted meshes by using curvilinear *** examples are also presented to verify the performance of the third order scheme on curvilinear meshes in terms of resolution for discontinuities and non-oscillatory properties.