Application of a Multi-dimensional Limiting Process to Central-Upwind Schemes for Solving Hyperbolic Systems of Conservation Laws
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- 作者：Seongju Do ; Youngsoo Ha ; M. Kang ; Chang Ho Kim
- 关键词：Central ; upwind scheme ; MLP limiter ; Hyperbolic conservation laws ; Euler equations ; Finite difference method
- 刊名：Journal of Scientific Computing
- 出版年：2016
- 出版时间：October 2016
- 年：2016
- 卷：69
- 期：1
- 页码：274-291
- 全文大小：6,395 KB
- 刊物类别：Mathematics and Statistics
- 刊物主题：Mathematics
Algorithms
Computational Mathematics and Numerical Analysis
Applied Mathematics and Computational Methods of Engineering
Mathematical and Computational Physics - 出版者：Springer Netherlands
- ISSN：1573-7691
- 卷排序：69
文摘
In this paper, we study semi-discrete central-upwind difference schemes with a modified multi-dimensional limiting process (MLP) to solve two-dimensional hyperbolic systems of conservation laws. In general, high-order central difference schemes for conservation laws involve no Riemann solvers or characteristic decompositions but have a tendency to smear linear discontinuities. To overcome this drawback of central-upwind schemes, we use a MLP that uses multi-dimensional information for slope limitation to control the oscillations across discontinuities for multi-dimensional applications. Some numerical results are provided to demonstrate the performance of the proposed scheme.