Well-balanced discontinuous Galerkin method and finite volume WENO scheme based on hydrostatic reconstruction for blood flow model in arteries

doi:10.1002/fld.4463

	Well-balanced discontinuous Galerkin method and finite volume WENO scheme based on hydrostatic reconstruction for blood flow model in arteries
	Li, Gang 1,2; Delestre, Olivier 3,4; Yuan, Li5,6
	2018-03-10
发表期刊	INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
ISSN	0271-2091
卷号	86 期号:7 页码:491-508
摘要	The blood flow model in arteries admits the steady state solutions, for which the flux gradient is nonzero, and is exactly balanced by the source term. In this paper, by means of hydrostatic reconstruction, we construct a high order discontinuous Galerkin method, which exactly preserves the dead-man steady state, which is characterized by a discharge equal to zero (analogue to hydrostatic equilibrium). Moreover, the method maintains genuine high order of accuracy. Subsequently, we apply the key idea to finite volume weighted essentially non-oscillatory schemes and obtain a well-balanced finite volume weighted essentially non-oscillatory scheme. Extensive numerical experiments are performed to verify the well-balanced property, high order accuracy, as well as good resolution for smooth and discontinuous solutions.
关键词	blood flow model discontinuous Galerkin method finite volume WENO scheme hydrostatic reconstruction source term well-balanced property
DOI	10.1002/fld.4463
语种	英语
资助项目	Natural Science Foundation of PR China[11201254] ; Natural Science Foundation of PR China[11401332] ; Natural Science Foundation of PR China[11321061] ; Natural Science Foundation of PR China[11261160486] ; Project for Scientific Plan of Higher Education in Shandong Province of PR China[J12LI08] ; Project for Scientific Plan of Higher Education in Shandong Province of PR China[2010CB731505]
WOS研究方向	Computer Science ; Mathematics ; Mechanics ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas
WOS记录号	WOS:000424200200003
出版者	WILEY
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29381
专题	计算数学与科学工程计算研究所
通讯作者	Li, Gang
作者单位	1.Qingdao Univ, Sch Math & Stat, Qingdao 266071, Shandong, Peoples R China 2.Qingdao Univ, Ctr Computat Mech & Engn Simulat, Qingdao 266071, Shandong, Peoples R China 3.Univ Cote Azur, CNRS, LJAD UMR 7351, Nice, France 4.Polytech Nice Sophia, Biot, France 5.Chinese Acad Sci, LSEC, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China 6.Chinese Acad Sci, NCMIS, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Li, Gang,Delestre, Olivier,Yuan, Li. Well-balanced discontinuous Galerkin method and finite volume WENO scheme based on hydrostatic reconstruction for blood flow model in arteries[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS,2018,86(7):491-508.
APA	Li, Gang,Delestre, Olivier,&Yuan, Li.(2018).Well-balanced discontinuous Galerkin method and finite volume WENO scheme based on hydrostatic reconstruction for blood flow model in arteries.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS,86(7),491-508.
MLA	Li, Gang,et al."Well-balanced discontinuous Galerkin method and finite volume WENO scheme based on hydrostatic reconstruction for blood flow model in arteries".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS 86.7(2018):491-508.