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Spectral-based simulations of particle-laden turbulent flows
Authors:K. Sengupta  B. Shotorban  G.B. Jacobs  F. Mashayek
Affiliation:1. Department of Mechanical and Industrial Engineering, University of Illinois at Chicago, 842 West Taylor Street, Chicago, IL 60607, USA;2. Department of Mechanical and Aerospace Engineering, The University of Alabama in Huntsville, Huntsville, AL 35899, USA;3. Department of Aerospace Engineering, San Diego State University, 5500 Campanile Drive, San Diego, CA 92182, USA
Abstract:In this paper, we discuss the application of spectral-based methods to simulation of particle-laden turbulent flows. The primary focus of the article is on the past and ongoing works by the authors. The particles are tracked in Lagrangian framework, while direct numerical simulation (DNS) or large-eddy simulation (LES) is used to describe the carrier-phase flow field. Two different spectral methods are considered, namely Fourier pseudo-spectral method and Chebyshev multidomain spectral method. The pseudo-spectral method is used for the simulation of homogeneous turbulence. DNS of both incompressible and compressible flows with one- and two-way couplings are reported. For LES of particle-laden flows, two new models, developed by the authors, account for the effect of sub-grid fluctuations on the dispersed phase. The Chebyshev multidomain method is employed for the works on inhomogeneous flows. A number of canonical flows are discussed, including flow past a square cylinder, channel flow and flow over backward-facing step. Ongoing research on particle-laden LES of inhomogeneous flows is briefly reported.
Keywords:Eulerian&ndash  Lagrangian   DNS   LES   Pseudo-spectral   Spectral multidomain   Homogeneous turbulence   Inhomogeneous flows   Channel flow   Backward-facing step
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