Abstract
We have developed a numerical scheme to reproduce the unsteady flows with cavitation by the finite-difference method. The evolution of cavitation is represented by the source/sink of vapor phase in the incompressible liquid flow. The pressure-velocity coupling is based on the fractional-step method for incompressible fluid flows, in which the compressibility is taken into account through the low Mach number assumption. We applied our method to the cavitating flows around a hydrofoil. In the 2-dimensional simulation, the lift force was compared with experimental data and the reasonable agreement was obtained as for the dependence on cavitation number. In the 3-dimensional simulation, a cycle from surface oscillation of attached cavitation bubble, shedding of vortex and cloud cavity, and the re-entrant jet was successfully reproduced.
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