Modeling and simulation of mixing flows are rife with challenges. These complex variable-density problems can feature transient flow, onset and development of turbulence, non-equilibrium turbulence, density fluctuations, and production of turbulence kinetic energy by shear and buoyancy mechanisms, which are difficult to parameterize with one-point RANS closures. Hence, we have been working on extending the bridging partially-averaged Navier-Stokes equations (PANS) method to material-mixing problems. In this presentation, we discuss the current state of our work and present the framework to extend PANS closures to such a class of variable-density problems. The Taylor-Green Vortex and Rayleigh-Taylor benchmark flows are predicted to illustrate the potential of the model. The results show that the PANS method can accurately predict these variable-density flows at a fraction of the cost of Large-Eddy or Direct Numerical Simulations (LES and DNS). Such a cost reduction can exceed a factor of fourteen for the TGV flow. A new verification and validation technique is also discussed.
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Publication:[1] - F. S. Pereira, F. F. Grinstein, D. M. Israel, R. Rauenzahn, and S. S. Girimaji - Modeling and simulation of transitional Taylor-Green vortex flow with partially averaged Navier-Stokes equations. Phys. Rev. Fluids 6, 054611; [2] - F. S. Pereira, F. F. Grinstein, D. M. Israel, R. Rauenzahn, and S. S. Girimaji - Partially averaged Navier-Stokes closure modeling for variable-density turbulent flow (accepted); [3 - F. S. Pereira, F. F. Grinstein, D. M. Israel, R. Rauenzahn, and S. S. Girimaji - Modeling and simulation of transitional Rayleigh-Taylor flow with partially averaged Navier-Stokes equations. (submitted);
Presenters
Filipe S Pereira
Los Alamos National Laboratory - T3, Los Alamos National Laboratory
Authors
Filipe S Pereira
Los Alamos National Laboratory - T3, Los Alamos National Laboratory
Daniel M israel
Los Alamos National Laboratory, Los Alamos National Laboratory - XCP4
