Spectral discretization of the vorticity, velocity and pressure formulation of the Navier-Stokes equations

DOI10.1007/s00211-006-0684-zzbMath1138.76052OpenAlexW2011248853MaRDI QIDQ2502237

Nejmeddine Chorfi, Christine Bernardi, Mejdi Aza ıïez

Publication date: 12 September 2006

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-006-0684-z

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Spectral methods applied to problems in fluid mechanics (76M22) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (12)

Spectral discretization of the Navier-Stokes problem with mixed boundary conditions ⋮ Spectral discretization of time-dependent vorticity-velocity-pressure formulation of the Navier-Stokes equations ⋮ Resolution and implementation of the nonstationary vorticity velocity pressure formulation of the Navier-Stokes equations ⋮ Enhanced algorithms for solving the spectral discretization of the vorticity-velocity-pressure formulation of the Navier-Stokes problem ⋮ Analysis of a Navier-Stokes-Darcy coupling problem ⋮ Spectral discretization of the time-dependent Navier-Stokes problem with mixed boundary conditions ⋮ Error analysis for a vorticity/Bernoulli pressure formulation for the Oseen equations ⋮ An algorithm for solving the Navier-Stokes problem with mixed boundary conditions ⋮ On augmented finite element formulations for the Navier-Stokes equations with vorticity and variable viscosity ⋮ Spectral element discretization of the vorticity,velocity and pressure formulation of the Navier-Stokes problem ⋮ A discrete duality finite volume discretization of the vorticity‐velocity‐pressure stokes problem on almost arbitrary two‐dimensional grids ⋮ Analysis and approximation of a vorticity-velocity-pressure formulation for the Oseen equations

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