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
✦ LIBER ✦
A stream function-vorticity finite element formulation for Navier-Stokes equations in multi-connected domain
✍ Scribed by Akira Mizukami
- Publisher
- John Wiley and Sons
- Year
- 1983
- Tongue
- English
- Weight
- 293 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0029-5981
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## Abstract A fourth‐order compact finite difference scheme on the nine‐point 2D stencil is formulated for solving the steady‐state Navier–Stokes/Boussinesq equations for two‐dimensional, incompressible fluid flow and heat transfer using the stream function–vorticity formulation. The main feature o