TY - GEN

T1 - A level-set approach for large scale cavitation

AU - Kinzel, Michael P.

AU - Lindau, Jules W.

AU - Kunz, Robert F.

PY - 2009

Y1 - 2009

N2 - In this work, a new level-set-based approach is presented and applied to compressible, multiphase flows. Using a species-mass-conservation-based level-set transport equation, several advantages over signed-distance-function- based methods are demonstrated. Specific improvements include a ghost-fluid-free method for highly compressible problems, extensions to an arbitrary number of specie, and finite-rate chemistry mass transfer modeling. While maintaining higher-order numerics, the approach is applicable to three-dimensional (3D), time-accurate/steady, turbulent simulations. Herein, the method is applied to a flow solver that fully couples the mass, momentum, energy, and level-set transport equation; although the methods are equally applicable to segregated flow solvers. The methods are tested for ventilated supercavities, natural cavitation (incompressible, compressible, and thermal), and shock-induced boiling. Lastly, new reinitialization methods are developed specific to cavitating flows that decrease the interface diffusion where needed, while retaining an ability to admit subgrid-scale mixtures. Such an approach enables a more physical solution method for certain classes of multiphase flows. This formulation of the level-set approach is a general, valid, method that could easily be incorporated into any species-mass conservation solver.

AB - In this work, a new level-set-based approach is presented and applied to compressible, multiphase flows. Using a species-mass-conservation-based level-set transport equation, several advantages over signed-distance-function- based methods are demonstrated. Specific improvements include a ghost-fluid-free method for highly compressible problems, extensions to an arbitrary number of specie, and finite-rate chemistry mass transfer modeling. While maintaining higher-order numerics, the approach is applicable to three-dimensional (3D), time-accurate/steady, turbulent simulations. Herein, the method is applied to a flow solver that fully couples the mass, momentum, energy, and level-set transport equation; although the methods are equally applicable to segregated flow solvers. The methods are tested for ventilated supercavities, natural cavitation (incompressible, compressible, and thermal), and shock-induced boiling. Lastly, new reinitialization methods are developed specific to cavitating flows that decrease the interface diffusion where needed, while retaining an ability to admit subgrid-scale mixtures. Such an approach enables a more physical solution method for certain classes of multiphase flows. This formulation of the level-set approach is a general, valid, method that could easily be incorporated into any species-mass conservation solver.

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U2 - 10.1109/HPCMP-UGC.2009.8

DO - 10.1109/HPCMP-UGC.2009.8

M3 - Conference contribution

AN - SCOPUS:79953152656

SN - 9780769539461

T3 - Department of Defense Proceedings of the High Performance Computing Modernization Program - Users Group Conference, HPCMP-UGC 2009

SP - 3

EP - 24

BT - Department of Defense Proceedings of the High Performance Computing Modernization Program - Users Group Conference, HPCMP-UGC 2009

T2 - 2009 DoD High Performance Computing Modernization Program - Users Group Conference, HPCMP-UGC 2009

Y2 - 15 June 2009 through 18 June 2009

ER -