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

被引：0

作者：

Ge, Quan-wen ^{[1
]}

机构：

[1] Inst Appl Phys & Computat Math, Beijing 100094, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2014年 / 35卷 / 09期

基金：

中国国家自然科学基金;

关键词：

high-order sub-cell force; high-order Lagrangian cell-centered conservative scheme; high-order piecewise pressure of cell; unstructured mesh; ARTIFICIAL VISCOSITY;

D O I：

10.1007/s10483-014-1856-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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 introduced. With the high-order piecewise pressure of the cell, the high-order spatial discretization 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.

引用

页码：1203 / 1222

页数：20

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