A lattice Boltzmann method based on generalized polynomials and its application for electrons in metals
Computational Physics
2017-03-14 v2 Fluid Dynamics
Abstract
A lattice Boltzmann method is proposed based on the expansion of the equilibrium distribution function in powers of a new set of generalized orthonormal polynomials which are here presented. The new polynomials are orthonormal under the weight defined by the equilibrium distribution function itself. The D-dimensional Hermite polynomials is a sub-case of the present ones, associated to the particular weight of a gaussian function. The proposed lattice Boltzmann method allows for the treatment of semi-classical fluids, such as electrons in metals under the Drude-Sommerfeld model, which is a particular case that we develop and validate by the Riemann problem.
Keywords
Cite
@article{arxiv.1510.07328,
title = {A lattice Boltzmann method based on generalized polynomials and its application for electrons in metals},
author = {Rodrigo C. V. Coelho and Anderson Ilha and Mauro M. Doria},
journal= {arXiv preprint arXiv:1510.07328},
year = {2017}
}
Comments
6 pages, 3 figures