Lattice Boltzmann methods for solids: Difference between revisions

Revision as of 09:46, 25 August 2022

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{{AfC submission|t||ts=20220824221323|u=YetAnotherScientist|ns=118|demo=}}<!-- Important, do not remove this line before article has been created. -->

'''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 equation|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:

The main categories of LBMS are:

* Vectorial distributions

* Wave solvers

* Force tuning<ref>name=georgewave2011</ref>

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.

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{{cite journal |last1=Frantziskonis |first1=George N. |name=georgewave2011 |date=2011 |title=Lattice Boltzmann method for multimode wave propagation in viscoelastic media and in elastic solids |journal=Physical Review E |volume=83 |issue=6 |pages=066703 |doi=10.1103/PhysRevE.83.066703}}