A hybrid discontinuous spectral element method and filtered mass density function solver for turbulent reacting flows |
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Authors: | Jonathan Komperda Zia Ghiasi Dongru Li Ahmad Peyvan Farhad Jaberi |
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Affiliation: | 1. Department of Mechanical and Industrial Engineering, University of Illinois at Chicago, USA;2. Department of Mechanical Engineering, Michigan State University, Lansing, USA |
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Abstract: | AbstractWe present a novel hybrid scheme for the large eddy simulation (LES) of turbulent reacting flows. The scheme couples the discontinuous spectral element method (DSEM) solver for the unsteady compressible Navier-Stokes equations with a Monte Carlo particle filtered mass density function (FMDF) solver for the transport of reacting species. The method is capable of high-order simulations on unstructured grids. Mean particle estimate construction mimics the DSEM numerical procedure and utilizes variable basis functions. The scheme is tested on non-reacting and reacting Taylor-Green vortex flows. Studies of varying polynomial order, different basis functions for constructing particle estimates, and varying particle quantities are conducted. We demonstrate that a tent kernel, in conjunction with high polynomial order, produces the most accurate results. The chemically reacting simulations validate the hybrid scheme and demonstrate its applicability across a range of reaction regimes. The hybrid scheme's computational cost is 2.1 times the DSEM-LES solver. |
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