Solving two-phase shallow granular flow equations with a well-balanced NOC scheme on multiple GPUs

doi:10.1016/j.compfluid.2016.04.032

	Solving two-phase shallow granular flow equations with a well-balanced NOC scheme on multiple GPUs
	Zhai, Jian ; Liu, Wei ; Yuan, Li1
	2016-08-01
发表期刊	COMPUTERS & FLUIDS
ISSN	0045-7930
卷号	134 页码:90-110
摘要	A two-phase shallow granular flow model consists of mass and momentum equations for the solid and fluid phases, coupled together by conservative and non-conservative momentum exchange terms. Development of classic Godunov methods based on Riemann problem solutions for such a model is difficult because of complexity in building appropriate wave structures. Non-oscillatory central. (NOC) differencing schemes are attractive as they do not need to solve Riemann problems. In this paper, a staggered NOC scheme is amended for numerical solution of the two-phase shallow granular flow equations due to Pitman and Le. Simple discretization schemes for the non-conservative and bed slope terms and a simple correction procedure for the updating of the depth variables are proposed to ensure the well-balanced property. The scheme is further corrected with a numerical relaxation term mimicking the interphase drag force so as to overcome the difficulty associated with complex eigenvalues in some flow conditions. The resultant NOC scheme is implemented on multiple graphics processing units (GPUs) in a server by using both OpenMP-CUDA and multistream-CUDA parallelization strategies. Numerical tests in several typical two-phase shallow granular flow problems show that the NOC scheme can model wet/dry fronts and vacuum appearance robustly, and can treat some flow conditions associated with complex eigenvalues. Comparison of parallel efficiencies shows that the multistream-CUDA strategy can be slightly faster or slower than the OpenMP-CUDA strategy depending on the grid sizes. (C) 2016 Elsevier Ltd. All rights reserved.
关键词	Two-phase Shallow granular flow NOC Well-balanced property Multi-GPU
DOI	10.1016/j.compfluid.2016.04.032
语种	英语
资助项目	state key program for developing basic sciences[2010CB731505] ; Natural Science Foundation of China[11321061] ; Natural Science Foundation of China[11261160486] ; Fundamental Research of Civil Aircraft[MJ-F-2012-04]
WOS研究方向	Computer Science ; Mechanics
WOS类目	Computer Science, Interdisciplinary Applications ; Mechanics
WOS记录号	WOS:000379636200009
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/23176
专题	计算数学与科学工程计算研究所
通讯作者	Yuan, Li
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, NCMIS, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhai, Jian,Liu, Wei,Yuan, Li. Solving two-phase shallow granular flow equations with a well-balanced NOC scheme on multiple GPUs[J]. COMPUTERS & FLUIDS,2016,134:90-110.
APA	Zhai, Jian,Liu, Wei,&Yuan, Li.(2016).Solving two-phase shallow granular flow equations with a well-balanced NOC scheme on multiple GPUs.COMPUTERS & FLUIDS,134,90-110.
MLA	Zhai, Jian,et al."Solving two-phase shallow granular flow equations with a well-balanced NOC scheme on multiple GPUs".COMPUTERS & FLUIDS 134(2016):90-110.