Formulation of exactly balanced solvers for blood flow in elastic vessels and their application to collapsed states

Murillo, J. (Universidad de Zaragoza) ; Navas-Montilla, A. (Universidad de Zaragoza) ; García-Navarro, P. (Universidad de Zaragoza)

Resumen: In 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.

Idioma: Inglés

DOI: 10.1016/j.compfluid.2019.04.008

Año: 2019

Publicado en: Computers and Fluids 186 (2019), 74-98
ISSN: 0045-7930

Factor impacto JCR: 2.399 (2019)

Categ. JCR: MECHANICS rank: 54 / 136 = 0.397 (2019) - Q2 - T2
Categ. JCR: COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS rank: 55 / 109 = 0.505 (2019) - Q3 - T2

Factor impacto SCIMAGO: 1.075 - Engineering (miscellaneous) (Q1) - Computer Science (miscellaneous) (Q1)

Tipo y forma: Article (PostPrint)

Área (Departamento): Área Mecánica de Fluidos (Dpto. Ciencia Tecnol.Mater.Fl.)