Minimal entropic kinetic models for hydrodynamics

By S. Ansumali, I. Karlin, H. C. Ottinger. 2002

252 citations recorded by the source corpus.

We derive minimal discrete models of the Boltzmann equation consistent with equilibrium thermodynamics, and which recover correct hydrodynamics in arbitrary dimensions. A new discrete velocity model is proposed for the simulation of the Navier-Stokes-Fourier equation and is tested in the setup of Taylor vortex flow. A simple analytical procedure for constructing the equilibrium for thermal hydrodynamics is established. For the lattice Boltzmann method of isothermal hydrodynamics, the explicit analytical form of the equilibrium distribution is presented. This results in an entropic version of the isothermal lattice Boltzmann method with the simplicity and computational efficiency of the standard lattice Boltzmann model.

Subfields: Atmospheric Science, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/7a37b74e53fb79773d8a1f97ef56d43f41d9ff96

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atmospheric Science

1. Alexander N Gorban
2. A. Zinovyev
3. I. Karlin

In Computational Mechanics

1. Alexander N Gorban
2. I. Karlin
3. A. Zinovyev
4. Dieter Bothe
5. Michel Pierre

Citations in the corpus

• Constructive methods of invariant manifolds for kinetic problems (2003, methodology): “The proof of the H theorem in the framework of the Lattice Boltzmann method has been only very recently achieved [105–110].”