QQ客服 官方微博 反馈留言

	The generalized Riemann problem method for the shallow water equations with bottom topography
	Li, JQ ; Chen, GX
	2006
关键词	the shallow water equations the generalized Riemann problem method the well-balanced property the bottom topography the surface gradient method characteristic co-ordinates WELL-BALANCED SCHEME SAINT-VENANT SYSTEM SOURCE TERMS ASYMPTOTIC-EXPANSION KINETIC SCHEME UPWIND SCHEMES DYNAMICS FLOWS
英文摘要	paper extends the generalized Riemann problem method (GRP) to the system of shallow water C equations with bottom topography. The main contribution is that the generalized Riemann problem method (J. Comput. Phys. 1984; 55(1):1-32) is used to evaluate the midpoint values of solutions at each cell interface so that the bottom topography effect is included in numerical fluxes, and at the same step the source term is discretized with an interface method in which only mid-point values are plugged in. This scheme is well balanced between the flux gradient and bottom topography when incorporating the surface gradient method (SGM) (J. Comput. Phys. 2001; 168(1):1-25) into data reconstruction step, and it is also Suitable for both steady and unsteady flow simulations. We illustrate the accuracy of this scheme by several 1-D and 2-D numerical experiments. Copyright (c) 2005 John Wiley & Sons, Ltd.; Engineering, Multidisciplinary; Mathematics, Interdisciplinary Applications; SCI(E); EI; 19; ARTICLE; 6; 834-862; 65
语种	英语
出处	SCI ; EI
出版者	国际工程数值法杂志
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/252318]
专题	数学科学学院
推荐引用方式 GB/T 7714	Li, JQ,Chen, GX. The generalized Riemann problem method for the shallow water equations with bottom topography. 2006-01-01.

个性服务

查看访问统计

相关权益政策

暂无数据

收藏/分享

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。