A Schwarz-Christoffel Method for Generating Two-Dimensional Flow Grids

[+] Author and Article Information
K. P. Sridhar

Department of Mechanical Engineering, Loyola Marymount University, Los Angeles, CA 90045

R. T. Davis

Department of Aerospace Engineering and Applied Mechanics, University of Cincinnati, Cincinnati, OH 45221

J. Fluids Eng 107(3), 330-337 (Sep 01, 1985) (8 pages) doi:10.1115/1.3242487 History: Received September 30, 1983; Online October 26, 2009


A new coordinate generation technique, developed by Davis for external flows, is extended to allow for accurate grid generation for a variety of complex internal flow configurations. The approach is based on numerical integration of the Schwarz-Christoffel transformation for polygonal surfaces. It is shown to be second-order accurate with mesh size due to analytic treatment of boundary singularities. The method is flexible enough to allow for treatment of severe internal geometries, for a high degree of control of mesh spacing, and for generation of either orthogonal or nonorthogonal grids. In addition, this technique directly provides the two-dimensional incompressible potential flow solution for internal flows, as well as a simple expression for calculating the grid metric coefficients. Sample cases include symmetric and asymmetric channel, diffuser, and cascade flows.

Copyright © 1985 by ASME
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