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	A SECOND ORDER TIME HOMOGENIZED MODEL FOR SEDIMENT TRANSPORT
	Jiang, Yuchen ; Li, Ruo ; Wu, Shuonan
	2016
关键词	homogenization multiscale method first order correction sediment transport BED-LOAD TRANSPORT SHALLOW-WATER EQUATIONS SCHEMES FLOW EFFICIENT
英文摘要	A multiscale method for the hyperbolic systems governing sediment transport in a subcritical case is developed. The scale separation of this problem is due to the fact that the sediment transport is much slower than flow velocity. We first derive a zeroth order homogenized model and then propose a first order correction. It is revealed that the first order correction for hyperbolic systems has to be applied on the characteristic speed of slow variables in a one dimensional case. In a two dimensional case, besides the characteristic speed, the source term is also corrected. We develop a second order numerical scheme following the framework of heterogeneous multiscale method. The numerical results in both one and two dimensional cases demonstrate the effectiveness and efficiency of our method.; ExxonMobile; National Natural Science Foundation of China (NSFC) [91330205, 11325102]; SCI(E); EI; ARTICLE; jiangyuchen@pku.edu.cn; rli@math.pku.edu.cn; wsn1987@gmail.com; 3; 965-996; 14
语种	英语
出处	SCI ; EI
出版者	MULTISCALE MODELING & SIMULATION
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/494829]
专题	数学科学学院 工学院
推荐引用方式 GB/T 7714	Jiang, Yuchen,Li, Ruo,Wu, Shuonan. A SECOND ORDER TIME HOMOGENIZED MODEL FOR SEDIMENT TRANSPORT. 2016-01-01.

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