Pressure boundary conditions for blood flows

DOI10.1007/s11401-015-0983-8zbMath1322.76078OpenAlexW2244054373MaRDI QIDQ746378

Olivier Pironneau, Kirill P. Gostaf

Publication date: 16 October 2015

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://hal.sorbonne-universite.fr/hal-00865671/file/bloodflowShanghaiProc_24sept2013.pdf

zbMATH Keywords

Navier-Stokes equationsfinite element methodfluid-structure interactionblood flowcompliant walls

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Shells (74K25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Physiological flows (76Z05)

Related Items (6)

Least‐squares formulations for Stokes equations with non‐standard boundary conditions—A unified approach ⋮ Numerical simulation of the fractional flow reserve (FFR) ⋮ Analysis of a stabilized finite element method for Stokes equations of velocity boundary condition and of pressure boundary condition ⋮ Analysis of a Coupled Fluid-Structure Model with Applications to Hemodynamics ⋮ A simplified fluid-structure model for arterial flow. Application to retinal hemodynamics ⋮ Boundary conditions involving pressure for the Stokes problem and applications in computational hemodynamics

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