000088442 001__ 88442
000088442 005__ 20210208180200.0
000088442 0247_ $$2doi$$a10.1016/j.compfluid.2019.04.008
000088442 0248_ $$2sideral$$a111515
000088442 037__ $$aART-2019-111515
000088442 041__ $$aeng
000088442 100__ $$0(orcid)0000-0002-1386-5543$$aMurillo, J.$$uUniversidad de Zaragoza
000088442 245__ $$aFormulation of exactly balanced solvers for blood flow in elastic vessels and their application to collapsed states
000088442 260__ $$c2019
000088442 5060_ $$aAccess copy available to the general public$$fUnrestricted
000088442 5203_ $$aIn this work, numerical solvers based on extensions of the Roe and HLL schemes are adapted to deal with test cases involving extreme collapsing conditions in elastic vessels. To achieve this goal, the system is transformed to provide a conservation–law form, allowing to define Rankine–Hugoniot conditions. The approximate solvers allow to describe the inner states of the solution. Therefore, source term fixes can be used to prevent unphysical values of vessel area and, at the same time, the eigenvalues of the system control stability. Numerical solvers of different order are tested using a wide variety of Riemann problems, including extreme vessel collapse and blockage. In all cases, the robustness of the approximate solvers presented here is checked using first and third order methods in time and space, using the WENO reconstruction scheme in combination with the TVDRK3 method.
000088442 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000088442 590__ $$a2.399$$b2019
000088442 591__ $$aMECHANICS$$b54 / 136 = 0.397$$c2019$$dQ2$$eT2
000088442 591__ $$aCOMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS$$b55 / 109 = 0.505$$c2019$$dQ3$$eT2
000088442 592__ $$a1.075$$b2019
000088442 593__ $$aEngineering (miscellaneous)$$c2019$$dQ1
000088442 593__ $$aComputer Science (miscellaneous)$$c2019$$dQ1
000088442 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000088442 700__ $$0(orcid)0000-0002-3465-6898$$aNavas-Montilla, A.$$uUniversidad de Zaragoza
000088442 700__ $$0(orcid)0000-0001-8674-1042$$aGarcía-Navarro, P.$$uUniversidad de Zaragoza
000088442 7102_ $$15001$$2600$$aUniversidad de Zaragoza$$bDpto. Ciencia Tecnol.Mater.Fl.$$cÁrea Mecánica de Fluidos
000088442 773__ $$g186 (2019), 74-98$$pComput. fluids$$tComputers and Fluids$$x0045-7930
000088442 8564_ $$s12760071$$uhttps://zaguan.unizar.es/record/88442/files/texto_completo.pdf$$yPostprint
000088442 8564_ $$s60500$$uhttps://zaguan.unizar.es/record/88442/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
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000088442 951__ $$a2021-02-08-17:42:41
000088442 980__ $$aARTICLE