A discretized integral hydrodynamics
Condensed Matter
2009-10-30 v1
Abstract
Using an interpolant form for the gradient of a function of position, we write an integral version of the conservation equations for a fluid. In the appropriate limit, these become the usual conservation laws of mass, momentum and energy. We also discuss the special cases of the Navier-Stokes equations for viscous flow and the Fourier law for thermal conduction in the presence of hydrodynamic fluctuations. By means of a discretization procedure, we show how these equations can give rise to the so-called "particle dynamics" of Smoothed Particle Hydrodynamics and Dissipative Particle Dynamics.
Cite
@article{arxiv.cond-mat/9712244,
title = {A discretized integral hydrodynamics},
author = {Victor Romero-Rochin and J. Miguel Rubi},
journal= {arXiv preprint arXiv:cond-mat/9712244},
year = {2009}
}
Comments
10 pages, RevTex, submitted to Phys. Rev. E