Local Mass-Corrections for Continuous Pressure Approximations of Incompressible Flow

DOI10.1137/140959675zbMath1308.76164OpenAlexW1980104292MaRDI QIDQ5245396

Christian Waluga, Björn Gmeiner, Barbara I. Wohlmuth

Publication date: 8 April 2015

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/80117b25baf84c63c825af9755c01c936b8f8f41

zbMATH Keywords

stabilizationmixed finite elementsStokes equationslocal mass conservation

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite volume methods applied to problems in fluid mechanics (76M12) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (8)

Mass-corrections for the conservative coupling of flow and transport on collocated meshes ⋮ Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations with Continuous Pressure Finite Elements ⋮ High Order Continuous Local-Conserving Fluxes and Finite-Volume-Like Finite Element Solutions for Elliptic Equations ⋮ A modified convective formulation in Navier-Stokes simulations ⋮ Surface couplings for subdomain-wise isoviscous gradient based Stokes finite element discretizations ⋮ Locally conservative continuous Galerkin FEM for pressure equation in two-phase flow model in subsurfaces ⋮ Construction of locally conservative fluxes for high order continuous Galerkin finite element methods ⋮ Fortin operator for the Taylor-Hood element

Uses Software

• Terra-Neo

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