Modifying and Reducing Numerical Dissipation in A Two-Dimensional Central-Upwind Scheme

被引：0
|
作者：
Yu, Chi-Jer [1 ]
Liu, Chii-Tung [2 ]
机构：
[1] Natl Chiao Tung Univ, Dept Appl Math, Hsinchu 300, Taiwan
[2] Chaoyang Univ Technol, Dept Comp Sci & Informat Engn, Wufong Township 41349, Taichung County, Taiwan
来源：
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 2012年 / 4卷 / 03期
关键词：
Hyperbolic systems of conservation laws; Godunov-type finite-volume methods; central-upwind scheme; Kurganov; numerical dissipation; anti-diffusion; HYPERBOLIC CONSERVATION-LAWS; WENO SCHEMES; RESOLUTION; FLOW;
D O I：
10.4208/aamm.10-m11142
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This study presents a modification of the central-upwind Kurganov scheme for approximating the solution of the 2D Euler equation. The prototype, extended from a 1D model, reduces substantially less dissipation than expected. The problem arises from over-restriction of some slope limiters, which keep slopes between interfaces of cells to be Total-Variation-Diminishing. This study reports the defect and presents a re-derived optimal formula. Numerical experiments highlight the significance of this formula, especially in long-time, large-scale simulations.
引用
收藏
页码：340 / 353
页数：14
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