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]
Numerical Properties of the Discrete Gas Cavity Model for Transients
Contributed by the Fluids Engineering Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS. Manuscript received by the Fluids Engineering Division February 5, 1999; revised manuscript received April 3, 2000. Associate Technical Editor: M. Sommerfeld.
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Liou , J. C. P. (April 3, 2000). "Numerical Properties of the Discrete Gas Cavity Model for Transients ." ASME. J. Fluids Eng. September 2000; 122(3): 636–639. https://doi.org/10.1115/1.1287037
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