Integer Lattice Gas with a sampling collision operator for the fluctuating Navier-Stokes Equation

Abstract

This paper constitutes a step in the direction of developing integer lattice gas methods as an attractive alternative to lattice Boltzmann methods. Here we show that to Boltzmann limit the one dimensional Blommel integer lattice gas is very close to entropic lattice Boltzmann. More interestingly the integer lattice gas retains additional correlations that prevent the existence of a well defined Boltzmann limit. In the analysis of the decaying sine wave we will see that in some situations the bulk viscosity can crucially depend on such correlations beyond the Boltzmann limit. A sampling collision operator, introduced here, can speed up the execution time to make the algorithm obtain comparable computational efficiency to entropic lattice Boltzmann methods.

23 Pages, 15 Figures. Replacement of pre-peer-review manuscript with post-peer-review manuscript

References in corpus (8)

• Minimal entropic kinetic models for simulating hydrodynamics
• Fluctuating lattice Boltzmann
• Lattice Gas with Molecular Dynamics Collision Operator
• Fluctuating Multicomponent Lattice Boltzmann Model
• A Fluctuating Lattice Boltzmann Method for the Diffusion Equation
• Integer Lattice Gas with Monte Carlo collision operator recovers the entropic lattice Boltzmann method with Poisson distributed fluctuations
• Comparison between isothermal collision-streaming and finite-difference lattice Boltzmann models
• Integer Lattice Gas with a sampling collision operator for the fluctuating Diffusion Equation