
Lattice Boltzmann method: simulation of isothermal low-speed flows
Author(s) -
Georgy Sergeevich Chashchin
Publication year - 2021
Publication title -
preprint/preprinty ipm im. m.v. keldyša
Language(s) - English
Resource type - Journals
eISSN - 2071-2901
pISSN - 2071-2898
DOI - 10.20948/prepr-2021-99
Subject(s) - lattice boltzmann methods , galilean invariance , galilean , hermite polynomials , computation , hpp model , statistical physics , isothermal process , boltzmann equation , lattice (music) , boundary value problem , lattice gas automaton , kinetic theory , mathematics , physics , classical mechanics , mathematical analysis , theoretical physics , mechanics , algorithm , thermodynamics , turbulence , cellular automaton , reynolds number , acoustics , stochastic cellular automaton
In this work, lattice Boltzmann method on standard lattices was descript as one of the modern method of computation fluid dynamics. The article has main theorems, which prove computational algorithm, different type’s boundary conditions and defect in Galilean invariance. Moreover, the paper has some theoretical background about physical kinetic theory, Hermite polynomials and numeric integration. Here has not any new scientist discoveries, but has explanation of basic lattice Boltzmann theory.