Filtering of the pressure spurious modes in \(\mathbb{P}_N-\mathbb{P}_N\) spectral approximations of the Stokes system

DOI10.1016/S0045-7930(01)00081-0zbMath1004.76067MaRDI QIDQ1598045

C. Sabbah, M. Y. Forestier, Richard Pasquetti

Publication date: 2002

Published in: Computers and Fluids (Search for Journal in Brave)

zbMATH Keywords

pressureStokes systemfiltering algorithmspectral approximationspressure spurious modes

Mathematics Subject Classification ID

Spectral methods applied to problems in fluid mechanics (76M22) Stokes and related (Oseen, etc.) flows (76D07)

Related Items (1)

Plane poloidal-toroidal decomposition of doubly periodic vector fields. Part 2. The Stokes equations

Cites Work

• The treatment of spurious pressure modes in spectral incompressible flow calculations
• A unique grid spectral solver of the \(nD\) Cartesian unsteady Stokes system. Illustrative numerical results
• On the solution of the Navier-Stokes equations using Chebyshev projection schemes with third-order accuracy in time
• A divergence-free multidomain spectral solver of the Navier-Stokes equations in geometries of high aspect ratio
• Spatial development of wakes using a spectral multi-domain method
• Spectral method solution of the Stokes equations on nonstaggered grids
• A Chebyshev collocation method for the Navier-Stokes equations with application to double-diffusive convection
• An improved projection scheme applied to pseudospectral methods for the incompressible Navier-Stokes equations

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