Premium
Direct simulations of the linear elastic displacements field based on a lattice Boltzmann model
Author(s) -
Yin Xianli,
Yan Guangwu,
Li Tingting
Publication year - 2015
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.5167
Subject(s) - lattice boltzmann methods , bhatnagar–gross–krook operator , hpp model , boltzmann equation , lattice gas automaton , mathematics , mathematical analysis , statistical physics , deflection (physics) , lattice (music) , boltzmann distribution , partial differential equation , classical mechanics , physics , mechanics , quantum mechanics , algorithm , turbulence , stochastic cellular automaton , cellular automaton , reynolds number , acoustics
Summary In this paper, a lattice Boltzmann model for simulating linear elastic Lame equation is proposed. Differently from the classic lattice Boltzmann models, this lattice Boltzmann model is based on displacement distribution function in lattice Boltzmann equation. By using the technique of the higher‐order moments of equilibrium distribution functions and a series of partial differential equations in different time scales, we obtain the Lame equation with fourth‐order truncation errors. Based on this model, some problems with small deflection are simulated. The comparisons between the numerical results and the analytical solutions are given in detail. The numerical examples show that the lattice Boltzmann model can be used to solve problems of the linear elastic displacement field with small deflection. Copyright © 2015 John Wiley & Sons, Ltd.