Unconditionally Stable Calculation of Transonic Potential Flow Through Cascades Using an Adaptive Mesh for Shock Capture

[+] Author and Article Information
J. R. Caspar

United Technologies Research Center, East Hartford, Conn. 06108

J. Eng. Power 105(3), 504-513 (Jul 01, 1983) (10 pages) doi:10.1115/1.3227443 History: Received December 18, 1981; Online September 28, 2009


This paper describes an unconditionally stable procedure for calculating practical transonic potential flows through two-dimensional cascades. The full potential equation is cast in conservation form and approximated in physical space with centered control area techniques. Discrete analogs of nonphysical weak solutions are eliminated by the introduction of artificial viscosity in supersonic regions using artificial compressibility in which the density is evaluated a certain distance upstream from where it is to be applied. An explicit treatment of the density causes standard iterative procedures to diverge, except on relatively coarse meshes on which shocks are poorly captured. Instead, the insight of a model problem analysis is used to treat the density partially and implicitly.

Copyright © 1983 by ASME
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