Wylie’s discrete gas cavity model offers a simple way to simulate transients in liquids with a small amount of free gas, and to model vaporous and gaseous cavitations. It uses a constant and gas-free wave speed to avoid interpolations and a weighting factor to control numerical oscillations. The model has an intriguing ability to capture features associated with pressure-dependent wave speeds. This paper describes a von Neumann analysis on this model, shows why the need for the weighting factor and how to select it, and explains why the model exhibits variable wave speed features. [S0098-2202(00)00703-3]

Issue Section:
Technical Briefs
Keywords:
pipe flow, two-phase flow, transients, numerical analysis
Topics:
Cavities, Pressure, Transients (Dynamics), Waves, Oscillations
1.
Wylie, E. B., 1980, “Free Air in Liquid Transient Flow,” Proceedings of the Third International Conference on Pressure Surges, Paper B1, pp. 27–42, BHRA Fluids Engineering, Canterbuy, U.K., Mar.
2.
Provoost, G. A., and Wylie, E. B., 1981, “Discrete Gas Model to Represent Distributed Free Gas in Liquids,” Fifth International Symposium on Column Separation, Obernach, Germany, Sept. 8 pp.
3.
Wylie, E. B., and Streeter, V. L., 1993, Fluid Transients in Systems, Prentice-Hall, Englewood Cliffs, NJ, pp. 38–39, 184–187.
4.
Wylie
,
E. B.
,
1984
, “
Simulation of Vaporous and Gaseous Cavitation
,”
ASME J. Fluids Eng.
,
106
, Sept., pp.
307
–
311
.
5.
Cunge, J. A., Holly, Jr., F. M., and Verwey, A., 1980, Practical Aspects of Computational River Hydraulics, Pitman, London, U.K., pp. 80–89.
Copyright © 2000
 by ASME
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