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A two-dimensional dynamic mix model in free Lagrange hydrodynamics

We are developing a set of dynamic mix algorithms compatible with two-dimensional free Lagrange hydrodynamics. The hydrodynamics algorithms have conservation properties desirable to minimize numerical noise that might otherwise unacceptably degrade the second order moment terms coupling turbulence to the underlying flow. The mix model will consist of a K-{var epsilon} model of isotropic turbulence and a set of instability models based on multiphase hydrodynamics. The K-{var epsilon} model has been tested and has given qualitatively correct results. The instability model is intended to account for subgrid-scale flows which are not yet fully turbulent or well mixed and thus do not conform to the assumptions of the turbulence model. By basing these algorithms on the variables of multiphase hydrodynamics, we will model the effects of subgrid-scale interface and mixing layer structure on variables relevant to mixing, without modeling the subgrid-scale structure explicitly. 7 refs., 6 figs.