Spectral multigrid techniques for the Navier-Stokes equations

DOI10.1016/0045-7825(93)90092-CzbMath0783.76071OpenAlexW2037374669MaRDI QIDQ1309641

Wilhelm Heinrichs

Publication date: 2 January 1994

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(93)90092-c

zbMATH Keywords

vorticity-streamfunction formulationdiffusive termfinite difference preconditionersecond order semi-implicit scheme

Mathematics Subject Classification ID

Related Items (3)

High-order time splitting for the Stokes equations ⋮ The Navier-Stokes-\(\alpha \beta\) equations as a platform for a spectral multigrid method to solve the Navier-Stokes equations ⋮ An explicit Chebyshev pseudospectral multigrid method for incompressible Navier-Stokes equations

Cites Work

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• Improved spectral multigrid methods for periodic elliptic problems
• Chebyshev pseudospectral solution of second-order elliptic equations with finite element preconditioning
• Line relaxation for spectral multigrid methods
• Multigrid methods for combined finite difference and Fourier problems
• A spectral multigrid method for the Stokes problem in streamfunction formulation
• Finite element preconditioning for spectral multigrid methods
• Boundary and interface conditions within a finite element preconditioner for spectral methods
• A Stabilized Treatment of the Biharmonic Operator with Spectral Methods
• A Chebyshev collocation method for the Navier-Stokes equations with application to double-diffusive convection

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