A Direct Eulerian GRP Scheme for a Blood Flow Model in Arteries

DOI10.1137/19M1284476zbMath1486.92004arXiv2103.02224OpenAlexW3167565055MaRDI QIDQ4997390

Qing-Long Zhang, Yuxi Zheng, Wan-cheng Sheng

Publication date: 29 June 2021

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.02224

zbMATH Keywords

blood flowRiemann invariantsgeneralized Riemann problemRankine-Hugoniot conditionEulerian GRP scheme

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Physiological flows (76Z05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Physiological flow (92C35) Computational methods for problems pertaining to biology (92-08) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (4)

Variable separated physics-informed neural networks based on adaptive weighted loss functions for blood flow model ⋮ High-order accurate solutions of generalized Riemann problems of nonlinear hyperbolic balance laws ⋮ On the Riemann problem and interaction of elementary waves for two‐layered blood flow model through arteries ⋮ Riemann problem and Godunov-type scheme for a two-layer blood flow model

Uses Software

• HE-E1GODF

Cites Work

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