An Analysis of Upwind Schemes for the Navier–Stokes Equations

DOI10.1137/0719019zbMath0487.76036OpenAlexW1984456734MaRDI QIDQ3948744

Pierre-Arnaud Raviart, Vivette Girault

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1137/0719019

zbMATH Keywords

mixed schemesbranches of nonsingular solutionsupwind discretization of convective terms

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Basic methods in fluid mechanics (76M99)

Related Items (12)

Numerical resolution of optimal control problem for the in-stationary Navier-Stokes equations ⋮ Approximation of a nondifferentiable nonlinear problem related to MHD equilibria ⋮ Finite element approximation of a non-Lipschitz nonlinear eigenvalue problem ⋮ Finite element approximation of a free boundary problem arising in the theory of liquid drops ans plasma physics ⋮ Finite element approximation of a nonlinear eigenvalue problem related to MHD equilibria ⋮ Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions ⋮ Streamline diffusion finite element method for quasilinear elliptic problems ⋮ Approximation numérique de certaines équations paraboliques non linéaires ⋮ Finite dimensional approximation of nonlinear problems. III: Simple bifurcation points ⋮ Solution manifolds and submanifolds of parametrized equations and their discretization errors ⋮ A nonconforming finite element method of upstream type applied to the stationary Navier-Stokes equation ⋮ Mixed finite element solution for the Navier-Stokes equations

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