Modifying and reducing numerical dissipation in a two-dimensional central-upwind scheme

Chi-Jer Yu*, Chii Tung Liu

*此作品的通信作者

研究成果: Article同行評審

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.

原文American English
頁(從 - 到)340-353
頁數14
期刊Advances in Applied Mathematics and Mechanics
4
發行號3
DOIs
出版狀態Published - 25 10月 2012

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