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22 break symmetry in certain situations and does not generalize to 3-D unstructured meshes. A 3-D unsplit scheme is therefore highly desirable, but remains a formidable task on unstructured meshes. We have currently pursued simpler approaches, such as generalized splitting and Runge Kutta schemes, but fully unsplit 3-D schemes will be the subject of future(More)
This paper addresses entropy generation and the corresponding dissipation of kinetic energy associated with high-resolution , shock-capturing (Godunov) methods. Analytical formulae are derived for the rate of increase of entropy given arbitrary jumps in primitive variables at a cell interface. It is demonstrated that for general continuously varying flows(More)
This paper presents an assessment of high-order, finite-volume WENO methods (up to 5th-order accurate) in conjunction with 3D hybrid unstructured meses and the compressible Navier-Stokes equations for implicit large Eddy simulation of turbulent flows. Three variants of numerical methods are employed: (i) a centrally-based reconstruction; (ii) a(More)
The turbulent Rayleigh–Taylor instability is investigated in the limit of strong mode-coupling using a variety of high-resolution, multimode, three dimensional numerical simulations ͑NS͒. The perturbations are initialized with only short wavelength modes so that the self-similar evolution ͑i.e., bubble diameter D b ϰamplitude h b) occurs solely by the(More)
The turbulent RT instability is investigated in the limit of strong mode-coupling using a variety of high-resolution, multi-mode, three dimensional (3D) numerical simulations (NS). The perturbations are initialized with only short wavelength modes so that the self-similar evolution (i. e. bubble diameter D b µ amplitude h b) occurs solely by the nonlinear(More)
Previous research on self-similar mixing caused by Rayleigh-Taylor (RT) instability is summarized and a recent series of high resolution large eddy simulations is described. Mesh sizes of approximately 2000 ×1000 × 1000 are used to investigate the properties of high Reynolds number self-similar RT mixing at a range of density ratios from 1.5 : 1 to 20 : 1.(More)
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