## 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
High-order compact scheme for the steady stream-function vorticity equations
✍ Scribed by W. F. Spotz; G. F. Carey
- Book ID
- 102964898
- Publisher
- John Wiley and Sons
- Year
- 1995
- Tongue
- English
- Weight
- 723 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0029-5981
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📜 SIMILAR VOLUMES
This paper presents a numerical method for solving the steady-state Navier±Stokes equations for incompressible ¯uid ¯ows using velocities and vorticity as working variables. The method involves solving a second-order dierential equation for the velocity and a convection±diusion equation for the vort
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,