Meshfree method for fluctuating hydrodynamics
Numerical Analysis
2014-02-26 v1
Abstract
In the current study a meshfree Lagrangian particle method for the Landau-Lifshitz Navier-Stokes (LLNS) equations is developed. The LLNS equations incorporate thermal fluctuation into macroscopic hydrodynamics by the addition of white noise fluxes whose magnitudes are set by a fluctuation-dissipation theorem. The study focuses on capturing the correct variance and correlations computed at equilibrium flows, which are compared with available theoretical values. Moreover, a numerical test for the random walk of standing shock wave has been considered for capturing the shock location.
Cite
@article{arxiv.1202.4417,
title = {Meshfree method for fluctuating hydrodynamics},
author = {Anamika Pandey and Axel Klar and Sudarshan Tiwari},
journal= {arXiv preprint arXiv:1202.4417},
year = {2014}
}
Comments
17 pages, 2 figures