A Pressure-Robust Discretization of Oseen's Equation Using Stabilization in the Vorticity Equation
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Publication:5164014
DOI10.1137/20M1351230zbMath1477.65185arXiv2007.04012OpenAlexW3209008987MaRDI QIDQ5164014
Johnny Guzmán, Alexander Linke, Gabriel R. Barrenechea, Naveed Ahmed, Erik Burman, C. Merdon
Publication date: 9 November 2021
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.04012
incompressible Navier-Stokes equationsvorticity equationGalerkin least squarespressure-robustnessconvection stabilizationdivergence-free mixed finite element methods
Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Convection in hydrodynamic stability (76E06)
Related Items (9)
Pressure-Robustness in the Context of Optimal Control ⋮ Analysis of divergence-free 𝐻¹ conforming FEM with IMEX-SAV scheme for the Navier-Stokes equations at high Reynolds number ⋮ A Well-Posed First Order System Least Squares Formulation of the Instationary Stokes Equations ⋮ The nonconforming virtual element method for Oseen’s equation using a stream-function formulation ⋮ Error estimates for the Smagorinsky turbulence model: enhanced stability through scale separation and numerical stabilization ⋮ Skeleton-stabilized divergence-conforming B-spline discretizations for incompressible flow problems of high Reynolds number ⋮ Guaranteed upper bounds for the velocity error of pressure-robust Stokes discretisations ⋮ Recent results and perspectives for virtual element methods ⋮ Vorticity-stabilized virtual elements for the Oseen equation
Uses Software
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