A fully well-balanced scheme for the 1D blood flow equations with friction source term-Reference-Cited by-同舟云学术

A fully well-balanced scheme for the 1D blood flow equations with friction source term

Published:2020-11 Issue: Volume:421 Page:109750
ISSN:0021-9991
Container-title:Journal of Computational Physics
language:en
Short-container-title:Journal of Computational Physics

Author:

Ghitti Beatrice,Berthon Christophe,Le Minh Hoang,Toro Eleuterio F.^ORCID

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modelling and Simulation,Numerical Analysis

Reference26 articles.

1. Pulse wave propagation in a model human arterial network: assessment of 1-D visco-elastic simulations against in vitro measurements;Alastruey;J. Biomech.,2011

2. A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows;Audusse;SIAM J. Sci. Comput.,2004

3. Upwind methods for hyperbolic conservation laws with source terms;Bermudez;Comput. Fluids,1994

4. A fully well-balanced, positive and entropy-satisfying Godunov-type method for the shallow-water equations;Berthon;Math. Comput.,2016

5. Fully well-balanced, positive and simple approximate Riemann solver for shallow water equations;Berthon;Bull. Braz. Math. Soc.,2016

Cited by 21 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. An absolutely convergent fixed-point fast sweeping WENO method on triangular meshes for steady state of hyperbolic conservation laws;Journal of Computational Physics;2024-10

2. Analysis of shock wave propagation in two-layered blood flow model via Lie symmetry;International Journal of Non-Linear Mechanics;2024-09

3. A well-balanced second-order finite volume approximation for a coupled system of granular flow;Journal of Computational Physics;2024-08

4. Flux vector splitting schemes applied to a conservative 1D blood flow model with transport for arteries and veins;Computers & Fluids;2024-03

5. A Steady-State-Preserving Numerical Scheme for One-Dimensional Blood Flow Model;Mathematics;2024-01-26