^{1}and Andreas G. Claas

^{2}

^{1}KIT, FSM.

^{2}KIT, IKET

The basic ideas of the Stochastic Fields method for turbulent reacting flows have been adapted to compressible cavitating flows. A probability density function approach is applied to the vapor mass fraction to simulate vapor bubble size distribution and implemented into our finite volume compressible code. The water-vapor mixture is assumed in homogeneous equilibrium and the vapor mass fraction is described by a set of pure Eulerian transport equations with stochastic source terms.

With this novel technique, major two-phase flow parameters like vapor bubble radius, inter-facial area and volume can be captured. Also the source term non-linearity can be resolved at the sub-grid scale. No Lagrangian solver or equations for bubbles clusters are required leading to a low computational cost and simple implementation. The focus of this work is on the theory of the novel stochastic model and aspects of its implementation. Applications include sheet cavitation.