Lattice operators from discrete hydrodynamics
Computational Physics
2012-08-07 v1 Fluid Dynamics
Abstract
We present a general scheme to derive lattice differential operators from the discrete velocities and associated Maxwell-Boltzmann distributions used in lattice hydrodynamics. Such discretizations offer built-in isotropy and recursive techniques to increase the convergence order. This provides a simple and elegant procedure to derive isotropic and accurate discretizations of differential operators, which are expected to apply across a broad range of problems in computational physics.
Cite
@article{arxiv.1208.1009,
title = {Lattice operators from discrete hydrodynamics},
author = {Rashmi Ramadugu and Sumesh P. Thampi and Ronojoy Adhikari and Sauro Succi and Santosh Ansumali},
journal= {arXiv preprint arXiv:1208.1009},
year = {2012}
}