High-order Lagrangian cell-centered conservative scheme on unstructured meshes  

作　　者：葛全文 

机构地区：[1]Institute of Applied Physics and Computational Mathematics

出　　处：《Applied Mathematics and Mechanics(English Edition)》2014年第9期1203-1222,共20页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Foundation of China(Nos.11172050,11372051,and 11001027)

摘　　要：A high-order Lagrangian cell-centered conservative gas dynamics scheme is presented on unstructured meshes. A high-order piecewise pressure of the cell is intro- duced. With the high-order piecewise pressure of the cell, the high-order spatial discretiza- tion fluxes are constructed. The time discretization of the spatial fluxes is performed by means of the Taylor expansions of the spatial discretization fluxes. The vertex velocities are evaluated in a consistent manner due to an original solver located at the nodes by means of momentum conservation. Many numerical tests are presented to demonstrate the robustness and the accuracy of the scheme.A high-order Lagrangian cell-centered conservative gas dynamics scheme is presented on unstructured meshes. A high-order piecewise pressure of the cell is intro- duced. With the high-order piecewise pressure of the cell, the high-order spatial discretiza- tion fluxes are constructed. The time discretization of the spatial fluxes is performed by means of the Taylor expansions of the spatial discretization fluxes. The vertex velocities are evaluated in a consistent manner due to an original solver located at the nodes by means of momentum conservation. Many numerical tests are presented to demonstrate the robustness and the accuracy of the scheme.

关 键 词：high-order sub-cell force high-order Lagrangian cell-centered conservativescheme high-order piecewise pressure of cell unstructured mesh 

分 类 号：O241.82[理学—计算数学]