Comparison of wide and compact fourth-order formulations of the Navier–Stokes equations
✍ Scribed by Ercan Erturk
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 462 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0271-2091
- DOI
- 10.1002/fld.1920
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📜 SIMILAR VOLUMES
We consider a fourth-order, compact finite-difference method for the Navier-Stokes equations using the streamfunction-vorticity formulation. Various algebraic boundary formulas for vorticity are investigated including new implicit formulas of the third and fourth order. An algorithm for determinatio
## 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 fourth-order numerical method for solving the Navier±Stokes equations in streamfunctionavorticity formulation on a two-dimensional non-uniform orthogonal grid has been tested on the ¯uid ¯ow in a constricted symmetric channel. The family of grids is generated algebraically using a conformal transf