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Optimization Strategies for the Entropic Lattice Boltzmann Method
Authors:Francesca Tosi  Stefano Ubertini  S. Succi  I. V. Karlin
Affiliation:(1) Dip. di Matematica “U. Dini”, Università degli studi di Firenze, Viale Morgagni 67a, 50134 Firenze, Italy;(2) “Tor Vergata”, Dip. Ingegneria Meccanica, Università degli studi di Roma, Via del Politecnico 1, 0133 Roma, Italy;(3) Istituto Applicazioni del Calcolo CNR, Via del Policlinico 137, 00161 Roma, Italy;(4) Aerothermochemistry and Combustion Systems Laboratory, Swiss Federal Institute of Technology, ETH-Zentrum, CH-8092 Zurich, Switzerland
Abstract:The entropic formulation of the lattice Boltzmann method (LBM) features enhanced numerical stability due to its compliance with the Boltzmann H-theorem. This stability comes at the price of some computational overhead, associated with the need of adjusting the local relaxation time of the standard LBM in such a way as to secure compliance with the H-theorem. In this paper, we discuss a number of possible optimization strategies to reduce the computational overhead of entropic LBMs.
Keywords:Lattice Boltzmann method  H-theorem  entropy  lid-driven cavity flow
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