On the Generalized Hermite-Based Lattice Boltzmann Construction, Lattice Sets, Weights, Moments, Distribution Functions and High-Order Models
Computational Engineering, Finance, and Science
2013-04-22 v1 Computational Physics
Fluid Dynamics
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 high-order Hermite-based LB model capable to exactly match some first hydrodynamic moments thermally 1) on-Cartesian lattice, 2) with thermal weights in the EDF, 3) 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. Keywords: Lattice Boltzmann, fluid dynamics, kinetic theory, distribution function
Keywords
Cite
@article{arxiv.1304.4865,
title = {On the Generalized Hermite-Based Lattice Boltzmann Construction, Lattice Sets, Weights, Moments, Distribution Functions and High-Order Models},
author = {Raúl Machado},
journal= {arXiv preprint arXiv:1304.4865},
year = {2013}
}