Toward a Lattice Boltzmann Method for Solids—Application to Static Equilibrium of Isotropic Materials - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Article Dans Une Revue Applied Sciences Année : 2022

Toward a Lattice Boltzmann Method for Solids—Application to Static Equilibrium of Isotropic Materials

Résumé

This work presents a novel method for simulating the behavior of solid objects with the Lattice Boltzmann Method (LBM). To introduce and validate our proposed framework, comparative studies are performed for computing the static equilibrium of isotropic materials. Remembering that the LBM has strong theoretical foundations in the Boltzmann equation; this latter is firstly adjusted to solid motions, through its Boltzmann-Vlasov special case. This is indeed the case when combined with a suitable mean-field external force term to set a reliable solid framework. Secondly, a library is built and plugged on the top of the well-known Parallel Lattice Boltzmann Solver (PaLaBoS) library. Numerical implementations based on the previous equation of motion for solids are led in a non-intrusive manner so as to present results with an easy and flawless reproducibility. A newly designed Lattice Boltzmann Method for Solids (LBMS) is exhibited through a few key algorithms, showing the overall operation plus the major improvements. Efficiency, robustness and accuracy of the proposed approach are illustrated and contrasted with a commercial Finite Element Analysis (FEA) software. The obtained results reveal considerable potential concerning static and further dynamic simulations involving solid constitutive laws within the LBM formalism.
Fichier principal
Vignette du fichier
applsci-12-04627-v2.pdf (4.71 Mo) Télécharger le fichier
Origine : Publication financée par une institution

Dates et versions

hal-03881689 , version 1 (06-02-2024)

Identifiants

Citer

Tristan Maquart, Romain Noël, Guy Courbebaisse, Laurent Navarro. Toward a Lattice Boltzmann Method for Solids—Application to Static Equilibrium of Isotropic Materials. Applied Sciences, 2022, 12 (9), pp.4627. ⟨10.3390/app12094627⟩. ⟨hal-03881689⟩
34 Consultations
7 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More