Direct solution of the vorticity-stream function ordinary differential equations by a Chebyshev approximation

DOI10.1016/0021-9991(83)90002-5zbMath0529.76028OpenAlexW2086978313MaRDI QIDQ787781

S. C. R. Dennis, Luigi Quartapelle

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0021-9991(83)90002-5

zbMATH Keywords

one dimensioncoupled vorticity-stream function equationsequations separatedexact noniterative determination of vorticity boundary valuesFourier modes of two-dimensional problemspectral approximation by Chebyshev polynomials

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Basic methods in fluid mechanics (76M99)

Related Items (8)

Integral conditions for the pressure in the computation of incompressible viscous flows ⋮ Numerical methods for steady viscous flow problems ⋮ A spectral multi-domain method for the solution of 1-D-Helmholtz and Stokes-type equations ⋮ Unnamed Item ⋮ Fundamental interactions of vortical structures with boundary layers in two-dimensional flows ⋮ Resolution of the 2D Navier-Stokes equations in velocity-vorticity form by means of an influence matrix technique ⋮ Galerkin spectral method for the vorticity and stream function equations ⋮ Spectral algorithms for vector elliptic equations in a spherical gap

Cites Work

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• Viscous flow past circular cylinders
• The accurate solution of Poisson's equation by expansion in Chebyshev polynomials
• The slow translation of a sphere in a rotating viscous fluid
• Transition to turbulence in plane Poiseuille and plane Couette flow
• Numerical Methods for the First Biharmonic Equation and for the Two-Dimensional Stokes Problem
• Calculation of the steady flow past a sphere at low and moderate Reynolds numbers

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