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This article, Lattice Boltzmann methods for solids, has recently been created via the Articles for creation process. Please check to see if the reviewer has accidentally left this template after accepting the draft and take appropriate action as necessary.
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Lattice Boltzmann methods for solids (LBMS) are specific methods based on the lattice Boltzmann methods (LBM). LBM are a group of numerical methods that are used to solve partial differential equations (PDE). These methods themselves relying on a discretization of the Boltzmann equation. When the PDE at stake are related to solid mechanics, this subset of LBM is called lattice Boltzmann methods for solids. The main categories of LBMS are relying on:
The LBMS subset remains highly challenging from a computational aspect as much as from a theoretical point of view. Solving solid equations within the LBM framework is still a very active area of research. If solids are solved, this shows that the boltzmann equation is capable to describe solids motions in the same numerical environment as well as fluids and gases: thus unlocking complex physics to be solved such as fluid-structure interaction (FSI) in biomechanics.
Proposed insights
Vectorial distributions
Wave solvers
Force tuning
Introduction
Some results
References
- ^ Frantziskonis, George N. (2011). "Lattice Boltzmann method for multimode wave propagation in viscoelastic media and in elastic solids". Physical Review E. 83 (6): 066703. doi:10.1103/PhysRevE.83.066703.
- ^ Maquart, Tristan; Noël, Romain; Courbebaisse, Guy; Navarro, Laurent (2022). "Toward a Lattice Boltzmann Method for Solids—Application to Static Equilibrium of Isotropic Materials". Applied Sciences. 12: 4627.