A Galerkin-Legendre spectral method for the solution of the vorticity and stream function equations in uncoupled form under no-slip conditions in a square domain is presented which fully exploits the separation of variables in the two elliptic problems, benefits from a nonsingular influence matrix,
A procedure for calcualting vorticity boundary conditions in the stream-function-vorticity method
✍ Scribed by Mackinnon, R. J. ;Carey, G. F. ;Murray, P.
- Publisher
- Wiley (John Wiley & Sons)
- Year
- 1990
- Tongue
- English
- Weight
- 133 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0748-8025
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An embedding approach, based on Fourier expansions and boundary integral equations, is applied to the vorticity-stream function formulation of the Navier-Stokes equations. The algorithm only requires efficient solvers of scalar elliptic equations and, in an asymptotic version, the boundary element m
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