Toward a Lattice Boltzmann Method for Solids-Application to Static Equilibrium of Isotropic Materials
| Autor: | Romain NOËL, Tristan MAQUART, Guy Courbebaisse, Laurent Navarro |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: |
Fluid Flow and Transfer Processes
Lattice Boltzmann Method for solids solid static equilibrium Vlasov–Maxwell equation mean-field external force term Process Chemistry and Technology General Engineering General Materials Science Instrumentation Computer Science Applications ComputingMethodologies_COMPUTERGRAPHICS |
| Zdroj: | Applied Sciences, 12 (9) Applied Sciences; Volume 12; Issue 9; Pages: 4627 |
| ISSN: | 2076-3417 |
| Popis: | 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. Applied Sciences, 12 (9) ISSN:2076-3417 |
| Databáze: | OpenAIRE |
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