in Complex Geometries

^{a}and Krishnan Mahesh

^{b}

^{a}gnan0009@aem.umn.edu

^{b}mahesh@aem.umn.edu

We are developing the DNS/LES capability for turbulent cavitating flows in complex geometries. The multiphase medium is represented using a homogeneous equilibrium model that assumes thermal equilibrium between the liquid and the vapor phase. The governing equations are the compressible Navier Stokes equations for the liquid/vapor mixture along with a transport equation for the vapor mass fraction. A separate energy equation is solved, as opposed to assuming isothermal flow. The unstructured compressible algorithm in [1] has been extended to solve for multiphase flows. A characteristic filter based shock capturing scheme is developed to handle shocks and contact discontinuities in non-ideal gases and mixtures. The shock capturing is applied in a predictor-corrector approach, where the base scheme is non-dissipative and symmetric. The numerical method is validated for benchmark problems and applied to a cavitating flow over a circular cylinder.