Boundary conditions involving pressure for the Stokes problem and applications in computational hemodynamics

DOI10.1016/j.cma.2017.04.024zbMath1439.76023OpenAlexW2611734916MaRDI QIDQ2309900

Vincent Chabannes, Marcela Szopos, Christophe Prud'homme, Silvia Bertoluzza

Publication date: 6 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2017.04.024

zbMATH Keywords

finite element methodStokes equationspressure boundary conditionscomputational hemodynamics

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Finite element methods applied to problems in fluid mechanics (76M10) Physiological flows (76Z05)

Related Items (12)

Sharp consistency estimates for a pressure-Poisson problem with Stokes boundary value problems ⋮ A shape design problem for the Navier-Stokes flow with a convective boundary condition ⋮ Error analysis for a vorticity/Bernoulli pressure formulation for the Oseen equations ⋮ Numerical analysis for backward Euler spectral discretization for Stokes equations with boundary conditions involving the pressure. I ⋮ A pressure-robust discrete de Rham scheme for the Navier-Stokes equations ⋮ Least‐squares formulations for Stokes equations with non‐standard boundary conditions—A unified approach ⋮ Generalized finite difference method for solving stationary 2D and 3D Stokes equations with a mixed boundary condition ⋮ Multigrid Methods for Discrete Fractional Sobolev Spaces ⋮ Assembly of Multiscale Linear PDE Operators ⋮ О математической модели неизотермического ползущего течения жидкости через заданную область ⋮ A projection method for Navier-Stokes equations with a boundary condition including the total pressure ⋮ Vector Potentials with Mixed Boundary Conditions. Application to the Stokes Problem with Pressure and Navier-type Boundary Conditions

Uses Software

• PETSc
• Feel++

Cites Work

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