The slop flux method for numerical balance in using roe's approximate riemann solver

CORC > 地理科学与资源研究所 > 中国科学院地理科学与资源研究所 > 历年回溯文献

	The slop flux method for numerical balance in using roe's approximate riemann solver
	Wang Dang-Wei ; Liu Xiao-Fang ; Chen Jian-Guo ; Ji Zu-Wen
	2012
关键词	Numerical methods Equations of motion Finite volume method
英文摘要	Imbalance arises when the Roe's method is directly applied in the shallow water simulation. The reasons are different for the continuity equation and the momentum equations. Based on the Roe's method, a partial surface method is proposed for a perfect balance for the continuity equation. In order to generate a mathematically hyperbolic formulation, the momentum equations are split, which causes incompatibility in the calculation of the momentum equations. In this article a numerical approach named the Slop Flux Method (SFM) is proposed to balance the source terms and the flux gradient based on the finite volume method. The method is first applied to shallow water equations. The model is verified by analytical results of classical test cases with good agreement. Finally the method is applied to a steady flow simulation over a practical complicated topography and the result shows good balance and conservation. 2012 Publishing House for Journal of Hydrodynamics.
出处	Journal of Hydrodynamics
卷	24 期:1 页:58-64
收录类别	EI
语种	英语
内容类型	EI期刊论文
源URL	[http://ir.igsnrr.ac.cn/handle/311030/27684]
专题	地理科学与资源研究所_历年回溯文献
推荐引用方式 GB/T 7714	Wang Dang-Wei,Liu Xiao-Fang,Chen Jian-Guo,et al. The slop flux method for numerical balance in using roe's approximate riemann solver. 2012.