Integer Lattice Gas with Monte Carlo collision operator recovers the entropic lattice Boltzmann method with Poisson distributed fluctuations
arXiv:1706.01094 · doi:10.1103/PhysRevE.97.023310
Abstract
We are examining a new kind of lattice gas that closely resembles modern lattice Boltzmann methods. This new kind of lattice gas, that we call a Monte Carlo Lattice Gas, has interesting properties that shed light on the origin of the multi-relaxation time collision operator and it derives the equilibrium distribution for entropic lattice Boltzmann. Furthermore these lattice gas methods have Galilean invariant fluctuations given by a Poisson statistics, giving further insight into the properties that we should expect for fluctuating lattice Boltzmann methods.
17 pages, 10 figures
References in corpus (5)
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Cited by in corpus (13)
- Lattice Boltzmann simulation of mixtures with multicomponent van der Waals equation of state
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- Validity of the Molecular-Dynamics-Lattice-Gas Global Equilibrium Distribution Function
- Integer Lattice Gas with a sampling collision operator for the fluctuating Diffusion Equation
- Regularized Fluctuating Lattice Boltzmann Model
- Over-Relaxation in Diffusive Integer Lattice Gas
- Molecular dynamics lattice gas equilibrium distribution function for Lennard-Jones particles
- Momentum fluctuations in coarse grained systems
- Adaptive Lattice Gas Algorithm: Classical and Quantum implementations
- Float Lattice Gas Automata: A connection between Molecular Dynamics and Lattice Boltzmann Method for quantum computers
- Integer Lattice Gas with a sampling collision operator for the fluctuating Navier-Stokes Equation
- Fully Quantum Lattice Gas Automata Building Blocks for Computational Basis State Encodings