Journal
APPLIED SCIENCES-BASEL
Volume 12, Issue 9, Pages -Publisher
MDPI
DOI: 10.3390/app12094627
Keywords
Lattice Boltzmann Method for solids; solid static equilibrium; Vlasov-Maxwell equation; mean-field external force term
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Funding
- French National Research Agency (Agence Nationale de la Recherche) [ANR-15-CE19-0002]
- Agence Nationale de la Recherche (ANR) [ANR-15-CE19-0002] Funding Source: Agence Nationale de la Recherche (ANR)
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This paper introduces a novel method for simulating the behavior of solid objects using the Lattice Boltzmann Method, demonstrating its potential and advantages in calculating solid frameworks through comparative studies.
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.
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