Improvement of the stability with a TRT‐collision scheme in a Lattice Boltzmann method for elastic solids

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.