Spectral approximation of the periodic nonperiodic Navier-Stokes equations

DOI10.1007/BF01400175zbMath0583.65085OpenAlexW2072376976MaRDI QIDQ1069285

Brigitte Métivet, Yvon Maday, Christine Bernardi

Publication date: 1987

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

Full work available at URL: https://eudml.org/doc/133219

zbMATH Keywords

error boundsperiodic boundary conditionsStokes problemstaggered gridsspectral methodscollocation pseudo- spectral method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Navier-Stokes equations for incompressible viscous fluids (76D05) Error bounds for boundary value problems involving PDEs (65N15) Navier-Stokes equations (35Q30) Applications to the sciences (65Z05)

Related Items (15)

A Scalable and Robust Vertex-Star Relaxation for High-Order FEM ⋮ Convergence of the Kleiser Schumann method for the Navier-Stokes equations ⋮ A VARIABLE-ORDER SPECTRAL ELEMENT METHOD FOR INCOMPRESSIBLE VISCOUS FLOW SIMULATION ⋮ Stabilization of spectral methods by finite element bubble functions ⋮ Spectral element methods for large scale parallel Navier-Stokes calculations ⋮ Spectral method solution of the Stokes equations on nonstaggered grids ⋮ Divergence-free velocity fields in nonperiodic geometries ⋮ Chebyshev spectral approximation of Navier-Stokes equations in a two dimensional domain ⋮ A unified spectral method for FPDEs with two-sided derivatives. II: Stability, and error analysis ⋮ A spectral-Tau approximation for the Stokes and Navier-Stokes equations ⋮ A collocation method over staggered grids for the Stokes problem ⋮ Divergence stability in connection with the $p$-version of the finite element method ⋮ Single and multidomain Chebyshev collocation methods for the Korteweg-de Vries equation ⋮ Legendre spectral methods for the -grad (div) operator with free boundary conditions ⋮ Compatibilité des espaces discrets pour l'approximation spectrale du problème de Stokes périodique/non périodique

Cites Work

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• Simulation of Taylor-Couette flow. Part 1. Numerical methods and comparison with experiment
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