A High Order Well-Balanced Finite Volume WENO Scheme for a Blood Flow Model in Arteries

DOI10.4208/eajam.181016.300517fzbMath1387.74121OpenAlexW2798823195MaRDI QIDQ4603426

Zhonghua Yao, Jinmei Gao, Gang Li

Publication date: 20 February 2018

Published in: East Asian Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/58e1d0380792851996ff5fb2be3da8dc7df9807f

zbMATH Keywords

finite volume schemesource termhigh order accuracyWENO schemewell-balanced propertyblood flow model

Mathematics Subject Classification ID

Finite volume methods applied to problems in solid mechanics (74S10)

Uses Software

• SWASHES

Cites Work

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• Well-balanced high-order numerical schemes for one-dimensional blood flow in vessels with varying mechanical properties
• On the advantage of well-balanced schemes for moving-water equilibria of the shallow water equations
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• A Roe type energy balanced solver for 1D arterial blood flow and transport
• Efficient implementation of weighted ENO schemes
• Finite volume and WENO scheme in one-dimensional vascular system modelling
• One-dimensional Modelling of Venous Pathologies: Finite Volume and WENO Schemes
• A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations
• A ‘well‐balanced’ finite volume scheme for blood flow simulation
• SWASHES: a compilation of shallow water analytic solutions for hydraulic and environmental studies

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