Lattice Boltzmann methods for solids: Difference between revisions

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{{Short description|Class of computational fluid dynamics methods}}

{{Orphan|date=December 2024}}

The '''Lattice Boltzmann methods for solids (LBMS)''' are a set of methods for solving [[Partialpartial differential equation|partial differential equations]]s (PDE) in solid mechanics. The methods use a discretization of the [[Boltzmann equation]](BM), and their use is known as the lattice Boltzmann methods for solids.

LBMS methods are categorized by their reliance on:

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==== Some results ====

[[File:LBMS solid displacement.png|thumb|2D displacement magnitude on a solid system using force tuning. Obtained field is in accordance with [[Finitefinite element method|finite element methods]]s results.]]

Force tuning<ref name="mnnclbms"/> has recently proven its efficiency with a maximum error of 5% in comparison with standard [[Finite element method|finite element]] solvers in mechanics. Accurate validation of results can also be a tedious task since these methods are very different, common issues are:

* Meshes or lattice discretization

* Location of computed fields at elements or nodes

* Hidden information in softwaressoftware used for [[Finite element method|finite element analysis]] comparison

* Non-linear materials

* Steady state convergence for LBMS

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|journal= International Journal of Modern Physics B

|number= 1n02

|bibcode= 2003IJMPB..17..153M |url-access= subscription}}</ref>

<ref name="Guangwu_2000a">{{cite journal

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|number= 1

|bibcode= 2000JCoPh.161...61G

|url-access= subscription

}}</ref>