Year: 2012
Author: Chi-Jer Yu, Chii-Tung Liu
Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 3 : pp. 340–353
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.10-m11142
Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 3 : pp. 340–353
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Hyperbolic systems of conservation laws Godunov-type finite-volume methods central-upwind scheme Kurganov numerical dissipation anti-diffusion.