The scalar filtered mass density function (FMDF) is further developed and employed for large-eddy simulations (LES) of high speed turbulent flows in complex geometries. LES/FMDF is implemented via an efficient, hybrid numerical method. In this method, the filtered compressible Navier-Stokes equations in curvilinear coordinate systems are solved with a generalized, high-order, multi-block, compact differencing scheme. Turbulent mixing and combustion are modeled with the FMDF. The LES/FMDF method is used for simulations of isotropic turbulent flow in a piston-cylinder assembly, the flow in a shock tube and a supersonic co-axial helium-air jet. The critical role of pressure in the FMDF equation when applied to compressible flows is studied. It is shown that LES/FMDF is reliable and is able to simulate compressible turbulent mixing and combustion in supersonic flows.

%B 48th AIAA Aerospace Sciences Meeting %I AIAA %C Orlando, FL %8 01/2010 %G eng %0 Conference Paper %B 47th AIAA Aerospace Sciences Meeting %D 2009 %T Large-Scale Simulations of High Speed Turbulent Flows %A Li, Z. %A Jaberi, F.A. %XThis paper briefly describes a new class of high-order Monotonicity-Preserving (MP) finite difference methods recently developed for direct numerical simulation (DNS) and large-eddy simulation (LES) of high-speed turbulent flows. The MP method has been implemented together with high-order compact (COMP) and weighted essentially non- oscillatory (WENO) methods in a generalized three-dimensional (3D) code and has been applied to various 1D, 2D and 3D problems. For the LES, compressible versions of the gradient-based subgrid-scale closures are employed. Detailed and extensive analysis of various flows indicates that MP schemes have less numerical dissipation and faster grid convergence than WENO schemes. Simulations conducted with high-order MP schemes preserve sharp changes in flow variables without spurious oscillations and capture the turbulence at the smallest simulated scales. The non-conservative form of the scalar equation solved with MP schemes are shown to generate the same results as COMP schemes for supersonic mixing problems involving shock waves.

%B 47th AIAA Aerospace Sciences Meeting %I American Institute of Aeronautics and Astronautics %C Orlando, FL %8 01/2009 %G eng %0 Conference Paper %B 46TH AIAA Aerospace Sciences Meeting and Exhibit %D 2008 %T Large Eddy Simulations of Two-Phase Turbulent Reacting Flows %A Jaberi, F.A. %A Li, Z. %B 46TH AIAA Aerospace Sciences Meeting and Exhibit %I AMERICAN INSTITUTE OF AERONAUTICS AND ASTRONAUTICS %C Reno, Nevada %8 01/2008 %G eng %L AIAA 2008-1154