Genuinely multi-dimensional non-dissipative finite-volume schemes for transport

被引：3
|
作者：
Despres, Bruno [1 ]
Lagoutiere, Frederic [2 ,3 ]
机构：
[1] CEA, DIF DSSI, F-91680 Bruyeres Le Chatel, France
[2] Univ Paris 07, F-75013 Paris, France
[3] Lab Jacques Louis Lions, UMR 7598, F-75013 Paris, France
来源：
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE | 2007年 / 17卷 / 03期
关键词：
multidimensional transport; finite-volume schemes; anti-dissipative schemes; triangular grids;
D O I：
10.2478/v10006-007-0026-z
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We develop a new multidimensional finite-volume algorithm for transport equations. This algorithm is both stable and non-dissipative. It is based on a reconstruction of the discrete solution inside each cell at every time step. The proposed reconstruction, which is genuinely multidimensional, allows recovering sharp profiles in both the direction of the transport velocity and the transverse direction. It constitutes an extension of the one-dimensional reconstructions analyzed in (Lagoutiere, 2005; Lagoutiere, 2006).
引用
收藏
页码：321 / 328
页数：8
相关论文
共 50 条
12345