Spectral approximations of the Stokes problem by divergence-free functions

DOI10.1007/BF01061110zbMath0678.76022WikidataQ56996721 ScholiaQ56996721MaRDI QIDQ1124447

Giovanni Sacchi Landriani, Alfio M. Quarteroni, Franco Pasquarelli

Publication date: 1987

Published in: Journal of Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

Stokes equationsspectral approximationsdivergence-free subspacesLeonard methodthree- dimensional Navier-Stokes equations

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30)

Related Items (7)

Drag Reduction via Phase Randomization in Turbulent Pipe Flow ⋮ Direct numerical simulation of pipe flow using a solenoidal spectral method ⋮ An efficient spectral method based on an orthogonal decomposition of the velocity for transition analysis in wall-bounded flow ⋮ On the spectral solution of the three-dimensional Navier-Stokes equations in spherical and cylindrical regions ⋮ Numerical simulations of thermal convection under the influence of an inclined magnetic field by using solenoidal bases ⋮ Domain decomposition for spectral approximation to Stokes equations via divergence-free functions ⋮ Pseudospectral multi-domain method for incompressible viscous flow computation

Cites Work

• A spectral numerical method for the Navier-Stokes equations with applications to Taylor-Couette flow
• Convergence of the Kleiser Schumann method for the Navier-Stokes equations
• Boundary conditions for incompressible flows
• On the numerical solution of time-dependent viscous incompressible fluid flows involving solid boundaries
• Spectral and pseudo-spectral methods for parabolic problems with non periodic boundary conditions
• Spectral and Pseudo Spectral Methods for Advection Equations
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