Improvement of the stability with a TRT‐collision scheme in a Lattice Boltzmann method for elastic solids
Year: 2024
Type: article
Abstract: In recent years, Lattice Boltzmann (LB) schemes have been adapted to the simulation of elastodynamics. The resulting methods show promising characteristics, especially the computational efficiency and the scaling to large systems. A constitutive model is needed for solids, which is captured by a source term in the LB formulation. However, this approach leads to problems with the numerical stability for a large regime of material parameters. In this publication, a linear elastic material model is regarded. This work regards the underlying reasons for instabilities. As a remedy, a two‐relaxation‐time collision operator is employed. Effects on the stability are examined through error measures of a dynamical simulation model.
Source: PAMM
Authors: Henning Müller, Justinijan Panov, Ralf Müller
Institution: Technische Universität Darmstadt
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,090
OpenAlex ID: W4404485795