High‐order compact scheme for the steady stream‐function vorticity equations
- 30 October 1995
- journal article
- research article
- Published by Wiley in International Journal for Numerical Methods in Engineering
- Vol. 38 (20) , 3497-3512
- https://doi.org/10.1002/nme.1620382008
Abstract
A higher‐order compact scheme that is O(h4) on the nine‐point 2‐D stencil is formulated for the steady stream‐function vorticity form of the Navier‐Stokes equations. The resulting stencil expressions are presented and hence this new scheme can be easily incorporated into existing industrial software. We also show that special treatment of the wall boundary conditions is required. The method is tested on representative model problems and compares very favourably with other schemes in the literature.Keywords
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