Commun. Comput. Phys., 13 (2013), pp. 603-613.


Energy Conserving Lattice Boltzmann Models for Incompressible Flow Simulations

Shiwani Singh 1, Siddharth Krithivasan 1, Iliya V. Karlin 2, Sauro Succi 3, Santosh Ansumali 1*

1 Engineering Mechanics Unit, Jawaharlal Nehru Centre for Advanced Scientific Research, Jakkur, Bangalore 560064, India.
2 Aerothermochemistry and Combustion Systems Lab, ETH Zurich, 8092 Zurich, Switzerland; and Energy Technology Research Group, School of Engineering Sciences, University of Southampton, Southampton, SO17 1BJ, UK.
3 Istituto Applicazioni Calcolo "Mauro Picone", C.N.R., Via dei Taurini, 19, 00185, Rome, Italy.

Received 31 October 2011; Accepted (in revised version) 17 April 2012
Available online 29 August 2012
doi:10.4208/cicp.311011.170412s

Abstract

In this paper, we highlight the benefits resulting from imposing energy-conserving equilibria in entropic lattice Boltzmann models for isothermal flows. The advantages are documented through a series of numerical simulations, such as Taylor-Green vortices, cavity flow and flow past a sphere.

AMS subject classifications: 82C40

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Key words: Lattice Boltzmann method.

*Corresponding author.
Email: shiwani@jncasr.ac.in (S. Singh), siddharth@jncasr.ac.in (K. Siddharth), ilya.karlin@gmail.com, karlin@lav.mavt.ethz.ch (I. V. Karlin), succi@iac.cnr.it (S. Succi), ansumali@jncasr.ac.in (S. Ansumali)
 

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