The compressible hydrodynamic approach previously developed for small Mach
number non-cavitating flows has been extended to simulate cavitating flows as well as
non~cavitatingflows. The extension is made possible by assuming a complex equation of
state relating density and pressure to cover the liquid phase and the gas phase. Thus, the
cavitation phenomenon is regarded as a single-phase flow phenomenon enabling the
elimination of the cavity closure condition. The numerical model is an unsteady 3~
dimensional flow model based on a large eddy simulation approach. It is applied to typical
thin hydrofoils and thick hydrofoils at non~cavitating conditions and various cavitating
flow conditions, including moving cavity, stable sheet cavity and sheet cavity/cloud cavity
cyclical flow conditions. Computations are carried out primarily for 2-dimensional foils,
but 3-dimensional flow characteristics are also examined.
The computational results are compared with some available data; good
quantitative and qualitative agreements are indicated. It is considered very significant that
the sheet cavitation/cloud cavitation phenomenon is found to be similar to the viscous
boundary layer flow separation/vortex shedding and washout phenomenon in many
respects. Cavitation is found to trigger boundary layer separation in otherwise non-
Song, Charles C. S.; He, Jianming; Zhou, Fayi; Wang, Ge.
Numerical Simulation of Cavitating and Non-cavitating Flows over a Hydrofoil.
St. Anthony Falls Laboratory.
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