A spectral-difference method for two-dimensional viscous flow

DOI10.1016/0021-9991(89)90233-7zbMath0679.76036OpenAlexW2062269754MaRDI QIDQ1823088

Yue-Shan Xiong, Ben-yu Guo

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-9991(89)90233-7

zbMATH Keywords

stabilityconvergenceperiodic boundary conditionvorticity equationspectral-difference methodsemidiscrete conservation law

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items

Mixed Fourier-Jacobi spectral method ⋮ Fourier-Chebyshev pseudospectral method for two-dimensional vorticity equation ⋮ The errors estimation of the Chebyshev spectral-difference method for two-dimensional vorticity equation ⋮ Pseudospectral-finite difference method for three-dimensional vorticity equation with unilaterally periodic boundary condition ⋮ Chebyshev spectral-finite element method for three-dimensional unsteady Navier-Stokes equation ⋮ Fourier-Chebyshev spectral method for solving three-dimensional vorticity equation ⋮ Fourier-Chebyshev pseudospectral method for three-dimensional Navier-Stokes equations ⋮ The Fourier-Chebyshev spectral method for solving two-dimensional unsteady vorticity equations ⋮ Chebyshev pseudospectral-finite element method for the three-dimensional unsteady Navier-Stokes equation

Cites Work

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• The Fourier pseudospectral method with a restrain operator for the Korteweg-de Vries equation
• Computational design for long-term numerical integration of the equations of fluid motion: two-dimensional incompressible flow. Part I
• Approximation Results for Orthogonal Polynomials in Sobolev Spaces
• Stability of the Fourier Method
• Spectral Methods for a Nonlinear Initial Value Problem Involving Pseudo Differential Operators

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