Quasi-Equilibrium Lattice Boltzmann Method

Abstract

A general lattice Boltzmann method for simulation of fluids with tailored transport coefficients is presented. It is based on the recently introduced quasi-equilibrium kinetic models, and a general lattice Boltzmann implementation is developed. Lattice Boltzmann models for isothermal binary mixtures with a given Schmidt number, and for a weakly compressible flow with a given Prandtl number are derived and validated.

7 pages, 2 figure, to appear in European Physical Journal B

References in corpus (5)

• Kinetic boundary conditions in the lattice Boltzmann method
• Minimal entropic kinetic models for simulating hydrodynamics
• Consistent Lattice Boltzmann Method
• Order--disorder separation: Geometric revision
• Quasi-Equilibrium Closure Hierarchies for The Boltzmann Equation

Cited by in corpus (12)

• Comprehensive comparison of collision models in the lattice Boltzmann framework: Theoretical investigations
• Factorization symmetry in lattice Boltzmann simulations
• Grid refinement for entropic lattice Boltzmann models
• Semi-Lagrangian lattice Boltzmann method for compressible flows
• Consistent lattice Boltzmann model for multicomponent mixtures
• Renormalization of the Lattice Boltzmann Hierarchy
• Lattice Boltzmann model for weakly compressible flows
• Essentially entropic lattice Boltzmann model: Theory and simulations
• Reduced kinetic model of polyatomic gases
• A fully conservative discrete velocity Boltzmann solver with parallel adaptive mesh refinement for compressible flows
• Two-fluid kinetic theory for dilute polymer solutions
• A non-local quasi-equilibrium state in the Bhatnagar-Gross-Krook Boltzmann equation for thermo-hydrodynamics: Conservation laws, the Boltzmann H-theorem, and the fluctuation-dissipation theorem