ENTROPIC LATTICE BOLTZMANN SIMULATION OF THE FLOW PAST SQUARE CYLINDER

Santosh Ansumali (), Shyam Sunder Chikatamarla, Christos Emmanouil Frouzakis and Konstantinos Boulouchos
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Santosh Ansumali: Department of Materials, Institute of Polymers, Swiss Federal Institute of Technology (ETH), Sonneggstrasse 3, ML J 19, CH-8092 Zurich, Switzerland
Shyam Sunder Chikatamarla: Department of Energy Technology, Indian Institute of Technology, Chennai, India
Christos Emmanouil Frouzakis: Aerothermochemistry und Combustion Systems Laboratory, Swiss Federal Institute of Technology (ETH), Clausiussstrasse 33, CH-8092 Zürich, Switzerland
Konstantinos Boulouchos: Aerothermochemistry und Combustion Systems Laboratory, Swiss Federal Institute of Technology (ETH), Clausiussstrasse 33, CH-8092 Zürich, Switzerland

International Journal of Modern Physics C (IJMPC), 2004, vol. 15, issue 03, 435-445

Abstract: Minimal Boltzmann kinetic models, such as lattice Boltzmann, are often used as an alternative to the discretization of the Navier–Stokes equations for hydrodynamic simulations. Recently, it was argued that modeling sub-grid scale phenomena at the kinetic level might provide an efficient tool for large scale simulations. Indeed, a particular variant of this approach, known as the entropic lattice Boltzmann method (ELBM), has shown that an efficient coarse-grained simulation of decaying turbulence is possible using these approaches. The present work investigates the efficiency of the entropic lattice Boltzmann in describing flows of engineering interest. In order to do so, we have chosen the flow past a square cylinder, which is a simple model of such flows. We will show that ELBM can quantitatively capture the variation of vortex shedding frequency as a function of Reynolds number in the low as well as the high Reynolds number regime, without any need for explicit sub-grid scale modeling. This extends the previous studies for this set-up, where experimental behavior ranging fromRe~O(10)toRe≤1000was predicted by a single simulation algorithm.1–5

Keywords: Lattice Boltzmann; Htheorem; turbulence model; flow past square cylinder (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1142/S012918310400584X

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