Numerical performance of compact fourth-order formulation of the Navier-Stokes equations
✍ Scribed by Erturk, Ercan
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 336 KB
- Volume
- 24
- Category
- Article
- ISSN
- 1069-8299
- DOI
- 10.1002/cnm.1090
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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
A new finite difference method for the discretization of the incompressible Navier -Stokes equations is presented. The scheme is constructed on a staggered-mesh grid system. The convection terms are discretized with a fifth-order-accurate upwind compact difference approximation, the viscous terms ar