2019/11/18 by Sébastien Mey, Mey, Sébastien, Erwan Liberge +3
Engineering · #Aerosol Filtration and Electrostatic Precipitation #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Fluid Dynamics and Vibration Analysis #Lattice Boltzmann Simulation Studies
paper · pdf · doi:10.48550/arxiv.1911.07514
openalex publication_date 2019/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper deals with the numerical modelling of the interaction between a fluid and an incompressible solid (Neo Hookean) in small perturbations with the lattice Boltzmann method (LBM). In order to use a monolithic formulation and to solve the whole problem with the lattice Boltzmann method, an Eulerian approach is employed for the solid medium. The initial problem is thus transformed into a diphasic problem and a unique LBM solver is used for both phases (fluid and solid). With this approach, the force at the fluid-solid interface does not need to be explicitly computed. It is intrinsic to the method. This new method approach is validated with three academic cases: the deformation of a solid at the bottom of a lid driven cavity, with steady and unsteady boundary conditions at the top wall of the cavity and the deformation and motion of a disk in a lid driven cavity.