A third order central WENO scheme for 2D conservation laws

被引：56

作者：

Levy, D

Puppo, G

Russo, G

机构：

[1] Ecole Normale Super, Dept Math & Informat, F-75230 Paris 05, France

[2] Politecn Torino, Dipartimento Matemat, I-10129 Turin, Italy

[3] Univ Aquila, Dipartimento Matemat, I-67100 Laquila, Italy

来源：

APPLIED NUMERICAL MATHEMATICS | 2000年 / 33卷 / 1-4期

关键词：

hyperbolic conservation laws; 2D; central difference schemes; high-order accuracy; non-oscillatory schemes; CWENO reconstruction;

D O I：

10.1016/S0168-9274(99)00108-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a new third-order essentially non-oscillatory central scheme for approximating solutions of two-dimensional hyperbolic conservation laws. Our scheme is based on a two-dimensional extension of the centered weighted essentially non-oscillatory (CWENO) reconstruction we presented in Levy et al. [3]. This is a "true" 2D method; it is not based on a direction-by-direction approach. Our method is formalized in terms of a black box which needs as an input only the specific flux. The numerical results we present support our expectations for a robust and high-resolution method. (C) 2000 IMACS. Published by Elsevier Science B.V. All rights reserved.

引用

页码：415 / 421

页数：7

共 7 条

[1] Efficient implementation of weighted ENO schemes [J].