Thermodynamic Theory of Incompressible Hydrodynamics
Statistical Mechanics
2016-08-16 v3 Cellular Automata and Lattice Gases
Fluid Dynamics
Abstract
The grand potential for open systems describes thermodynamics of fluid flows at low Mach numbers. A new system of reduced equations for the grand potential and the fluid momentum is derived from the compressible Navier-Stokes equations. The incompressible Navier-Stokes equations are the quasi-stationary solution to the new system. It is argued that the grand canonical ensemble is the unifying concept for the derivation of models and numerical methods for incompressible fluids, illustrated here with a simulation of a minimal Boltzmann model in a microflow setup.
Keywords
Cite
@article{arxiv.cond-mat/0405555,
title = {Thermodynamic Theory of Incompressible Hydrodynamics},
author = {Santosh Ansumali and Iliya V. Karlin and Hans Christian Öttinger},
journal= {arXiv preprint arXiv:cond-mat/0405555},
year = {2016}
}
Comments
4 pages, 1 figure, final version, accepted for publication in Physical Review Letters