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.