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On the generalized Hermite-based lattice Boltzmann construction, lattice sets, weights, moments, distribution functions and high-order models

On the generalized Hermite-based lattice Boltzmann construction, lattice sets, weights, moments, distribution functions and high-order models
On the generalized Hermite-based lattice Boltzmann construction, lattice sets, weights, moments, distribution functions and high-order models
The influence of the use of the generalized Hermite polynomial on the Hermite-based lattice Boltzmann (LB) construction approach, lattice sets, the thermal weights, moments and the equilibrium distribution function (EDF) are addressed. A new moment system is proposed. The theoretical possibility to obtain a unique high-order Hermite-based singel relaxation time LB model capable to exactly match some first hydrodynamic moments thermally i) on-Cartesian lattice, ii) with thermal weights in the EDF, iii) whilst the highest possible hydrodynamic moments that are exactly matched are obtained with the shortest on-Cartesian lattice sets with some fixed real-valued temperatures, is also analyzed
lattice Boltzmann, fluid dynamics, kinetic theory, distribution function
2095-0462
Machado, Raúl
4e9dcec0-82ff-4735-b97c-dfbd4435ded2
Machado, Raúl
4e9dcec0-82ff-4735-b97c-dfbd4435ded2

Machado, Raúl (2014) On the generalized Hermite-based lattice Boltzmann construction, lattice sets, weights, moments, distribution functions and high-order models. Frontiers of Physics, 9 (4). (doi:10.1007/s11467-014-0417-1).

Record type: Article

Abstract

The influence of the use of the generalized Hermite polynomial on the Hermite-based lattice Boltzmann (LB) construction approach, lattice sets, the thermal weights, moments and the equilibrium distribution function (EDF) are addressed. A new moment system is proposed. The theoretical possibility to obtain a unique high-order Hermite-based singel relaxation time LB model capable to exactly match some first hydrodynamic moments thermally i) on-Cartesian lattice, ii) with thermal weights in the EDF, iii) whilst the highest possible hydrodynamic moments that are exactly matched are obtained with the shortest on-Cartesian lattice sets with some fixed real-valued temperatures, is also analyzed

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More information

Published date: 2014
Additional Information: TYPO: Fig. 6, in the ordinate, this should be read "Populations with u = 0 and \rho = 1". The \mu=0 typo was NOT introduced by the author (as seen correctly in the pre-print http://arxiv.org/pdf/1304.4865.pdf) but in the production process by the journal Frontiers of Physics.
Keywords: lattice Boltzmann, fluid dynamics, kinetic theory, distribution function
Organisations: Engineering Science Unit

Identifiers

Local EPrints ID: 364807
URI: http://eprints.soton.ac.uk/id/eprint/364807
ISSN: 2095-0462
PURE UUID: 12d9726d-5353-4cc7-b059-746ca7b34bd5

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Date deposited: 13 May 2014 10:11
Last modified: 14 Mar 2024 16:41

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