The filtered density function (FDF) closure is extended to a “selfcontained” format to include the subgridscale (SGS) statistics of all of the hydrothermochemical variables in turbulent flows. These are the thermodynamic pressure, the specific internal energy, the velocity vector, and the composition field. In this format, the model is comprehensive and facilitates largeeddy simulation (LES) of flows at both low and high compressibility levels. A transport equation is developed for the joint pressureenergyvelocitycomposition filtered mass density function (PEVCFMDF). In this equation, the effect of convection appears in closed form. The coupling of the hydrodynamics and thermochemistry is modeled via amore »
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This paper compares the effectiveness of various multiresolution geometric representation methods, such as Bspline, Daubechies, Coiflet and Dualtree wavelets, curvelets and surfacelets, to capture the structure of fully developed turbulence using a truncated set of coefficients. The turbulence dataset is obtained from a Direct Numerical Simulation of buoyancy driven turbulence on a 512 ^{3} mesh size, with an Atwood number, A = 0.05, and turbulent Reynolds number, Re _{t} = 1800, and the methods are tested against quantities pertaining to both velocities and active scalar (density) fields and their derivatives, spectra, and the properties of constant density surfaces. The comparisonsmore »Cited by 1Full Text Available
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