Cavity Flow Predictions Based on the Euler Equations

[+] Author and Article Information
Manish Deshpande, Jinzhang Feng, Charles L. Merkle

Propulsion Engineering Research Center, Department of Mechanical Engineering, The Pennsylvania State University, University Park, PA 16802

J. Fluids Eng 116(1), 36-44 (Mar 01, 1994) (9 pages) doi:10.1115/1.2910238 History: Received August 21, 1992; Revised June 08, 1993; Online May 23, 2008


An Euler solver based on artificial-compressibility and pseudo-time stepping is developed for the analysis of partial sheet cavitation in two-dimensional cascades and on isolated airfoils. The computational domain is adapted to the evolution of the cavity surface and the boundary conditions are implemented on the cavity interface. This approach enables the cavitation pressure condition to be incorporated directly without requiring the specification of the cavity length or the location of the inception point. Numerical solutions are presented for a number of two-dimensional cavity flow problems, including both leading edge cavitation and the more difficult mid-chord cavitation condition. Validation is accomplished by comparing with experimental measurements and nonlinear panel solutions from potential flow theory. The demonstrated success of the Euler cavitation procedure implies that it can be incorporated in existing incompressible CFD codes to provide engineering predictions of cavitation. In addition, the flexibility of the Euler formulation may allow extension to more complex problems such as viscous flows, time-dependent flows and three-dimensional flows.

Copyright © 1994 by The American Society of Mechanical Engineers
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