An acoustically accurate method to simulate turbulent cavitating flows

An acoustically accurate method involving transport of energy equation has been developed to simulate cavitating flows to study sheet to cloud cavitation transition in complex geometries. The algorithm uses a compressible homogeneous equilibrium model and solves transport equation for the vapor's mass fraction along with the compressible Navier-Stokes equation for the mixture. The internal energy equation is demonstrated to discretely outperform the total energy equation. A novel characteristic based filtering method has been developed for multiphase flows and is applied in a predictor-corrector approach, ensuring zero dissipation away from discontinuities. A dynamic Smagorinsky model is used for both Navier Stokes and the scalar transport equation. The algorithm has been validated for a variety of problems. Details of the methodology along with simulation results will be discussed.