Phys. Rev. Lett. 97, 010201 (2006) - Entropic Lattice Boltzmann Models for Hydrodynamics in Three Dimensions

Entropic Lattice Boltzmann Models for Hydrodynamics in Three Dimensions

S. S. Chikatamarla, S. Ansumali, and I. V. Karlin

Phys. Rev. Lett. 97, 010201 – Published 7 July 2006

Abstract

Efficient, nonlinearly stable entropic lattice Boltzmann models for computational fluid dynamics are presented. A new method of fast evaluation of equilibria to machine precision is proposed. Analytical solution is found for the collision step which guarantees stability and thermodynamic consistency of the scheme. As an example, a novel 15-velocity lattice Boltzmann model is derived and validated with a simulation of a three-dimensional backward-facing step flow.

Received 9 December 2005

DOI:https://doi.org/10.1103/PhysRevLett.97.010201

©2006 American Physical Society

Authors & Affiliations

S. S. Chikatamarla^*

Institute of Energy Technology, ETH Zurich, 8092 Zurich, Switzerland

S. Ansumali^†

School of Chemical and Biomedical Engineering, Nanyang Technological University, 639798 Singapore, Singapore

I. V. Karlin^‡

Institute of Energy Technology, ETH Zurich, 8092 Zurich, Switzerland

^*Electronic address: chikatamarla@lav.mavt.ethz.ch
^†Electronic address: asantosh@ntu.edu.sg
^‡Corresponding author. Electronic address: karlin@lav.mavt.ethz.ch

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Issue

Vol. 97, Iss. 1 — 7 July 2006

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