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

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

Text

RaulMACHADOIIIAbstractReferences.pdf - Version of Record

Restricted to Repository staff only

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