Abstract
AbstractMany recent works have demonstrated the efficiency of high‐order compact (HOC) difference schemes on the stream‐function and vorticity formulation of 2‐D incompressible Navier‐Stokes equations. HOC discretizations induce cross spatial derivatives which are treated explicitly in most ADI schemes. Recently, Karaa and Zhang proposed a fourth‐order ADImethod for solving convection‐diffusion problems efficiently. In this work, we extend this method to the solution of incompressible Navier‐Stokes equations. The driven flow in a square cavity is used as a model problem and numerical results are compared with other results. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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