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,
Spectral method of decoupling the vorticity and stream function for the incompressible fluid flows
โ Scribed by Jian Li; W.W. Sun
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 327 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
A spectral method is proposed for the vorticity-stream function equations of the incompressible fluid flows. It is effective to overcome the lack of vorticity boundary condition. This method decouples the vorticity and stream function. At each time step, first, the vorticity is explicitly solved and the stream function is evaluated by a Poisson-like equation; then the vorticity is determined by a Poisson-like equation again. The numerical experiments show that this method is of efficiency and high accuracy.
๐ SIMILAR VOLUMES
In this paper we present streamline-upwind/Petrov-Galerkin finite element procedures for two-dimensional fluid dynamics computations based on the vorticity-stream function formulation of the incompressible Navier-Stokes equations. We address the difficulties associated with the convection term in th