A Fourier-Chebyshev pseudospectral method for solving steady 3-D Navier- Stokes and heat equations in cylindrical cavities

DOI10.1016/0045-7930(91)90014-9zbMath0731.76056OpenAlexW2076505678MaRDI QIDQ808932

J. P. Pulicani, Jalil Ouazzani

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0045-7930(91)90014-9

zbMATH Keywords

Fourier-Galerkin approximationheat equationsartificial compressibility methodNavier-Stokes and energy equationsChebyshev-collocation approximationFourier-Chebyshev pseudospectral methodgeneralized ADI proceduresemi-implicit finite-difference scheme

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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Uses Software

• FIDAP

Cites Work

• A three-dimensional pseudo-spectral algorithm for the computaion of convection in a rotating annulus
• Chebyshev 3-D spectral and 2-D pseudospectral solvers for the Helmholtz equation
• Fast mixed-radix real Fourier transforms
• Vortex dynamics of cavity flows
• Spectral and finite difference solutions of the Burgers equations
• Divergence-free velocity fields in nonperiodic geometries
• Nonlinear, two-dimensional magnetohydrodynamic calculations
• Secondary instability of wall-bounded shear flows
• Use of Fast Direct Methods for the Efficient Numerical Solution of Nonseparable Elliptic Equations
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