TV-HLL solver for one-dimensional fluid flow inside elastic vessels

DOI10.1007/s40819-016-0187-2zbMath1397.76088OpenAlexW2430374610MaRDI QIDQ1788260

Pascalin Tiam Kapen, Ghislain Tchuen

Publication date: 8 October 2018

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-016-0187-2

zbMATH Keywords

finite volumeblood flownon-negativityurethra fluid flow modelingelastic vesselsTV-HLL

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Physiological flows (76Z05) Physiological flow (92C35)

Uses Software

• HLLE

Cites Work

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• Well-balanced high-order numerical schemes for one-dimensional blood flow in vessels with varying mechanical properties
• Augmented Riemann solver for urethra flow modeling
• One-dimensional models for blood flow in arteries
• A new flux splitting scheme based on Toro-Vazquez and HLL schemes for the Euler equations
• Flux splitting schemes for the Euler equations
• On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
• Simplified Second-Order Godunov-Type Methods
• Finite Volume Methods for Hyperbolic Problems
• Flow in Collapsible Tubes with Discontinuous Mechanical Properties: Mathematical Model and Exact Solutions
• Numerical solutions for unsteady gravity-driven flows in collapsible tubes: evolution and roll-wave instability of a steady state
• An extension of the TV-HLL scheme for multi-dimensional compressible flows

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