A mixed spectral/wavelet method for the solution of the Stokes problem

DOI10.1006/jcph.1998.6031zbMath0926.76083OpenAlexW2024966010MaRDI QIDQ1268317

K. Appert

Publication date: 5 December 1999

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1998.6031

zbMATH Keywords

vorticity-stream function formulationcapacitance matrix methodfast Fourier transform techniqueperiodic directionnon-periodic directiondiagonalisation techniquespectral collocation Chebychev method

Mathematics Subject Classification ID

Spectral methods applied to problems in fluid mechanics (76M22) Stokes and related (Oseen, etc.) flows (76D07) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (2)

Matrix decomposition algorithms for elliptic boundary value problems: A survey ⋮ A multiwavelet Galerkin boundary element method for the stationary Stokes problem in 3D

Cites Work

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• Chebyshev 3-D spectral and 2-D pseudospectral solvers for the Helmholtz equation
• Divergence-free velocity fields in nonperiodic geometries
• Iterative solution of the stream function-vorticity formulation of the Stokes problem, applications to the numerical simulation of incompressible viscous flow
• The accurate solution of Poisson's equation by expansion in Chebyshev polynomials
• Numerical solution of the incompressible Navier-Stokes equations
• Vorticity boundary condition and related isssues for finite difference schemes
• Application of vorticity integral conditioning to Chebyshev pseudospectral formulation for the Navier-Stokes equations
• Wavelets and the numerical solution of partial differential equations
• Wavelets and the numerical solution of boundary value problems
• The Spectrum of the Chebyshev Collocation Operator for the Heat Equation
• Orthonormal bases of compactly supported wavelets
• A Chebyshev collocation method for the Navier-Stokes equations with application to double-diffusive convection
• Numerical Methods for the First Biharmonic Equation and for the Two-Dimensional Stokes Problem
• Wavelet–Galerkin solutions for one‐dimensional partial differential equations

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