应用数学和力学（英文版）
應用數學和力學（英文版）
응용수학화역학（영문판）
APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION)
2014年
9期
1203-1222
,共20页
high-order sub-cell force%high-order Lagrangian cell-centered conservative scheme%high-order piecewise pressure of cell%unstructured mesh
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.
