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Well-balanced discontinuous Galerkin method and finite volume WENO scheme based on hydrostatic reconstruction for blood flow model in arteries
Li, Gang1,2; Delestre, Olivier3,4; Yuan, Li5,6
2018-03-10
Source PublicationINTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
ISSN0271-2091
Volume86Issue:7Pages:491-508
AbstractThe 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.
Keywordblood flow model discontinuous Galerkin method finite volume WENO scheme hydrostatic reconstruction source term well-balanced property
DOI10.1002/fld.4463
Language英语
Funding ProjectNatural 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 Research AreaComputer Science ; Mathematics ; Mechanics ; Physics
WOS SubjectComputer Science, Interdisciplinary Applications ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas
WOS IDWOS:000424200200003
PublisherWILEY
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/29381
Collection计算数学与科学工程计算研究所
Affiliation1.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
Recommended Citation
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.
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