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Lattice-Boltzmann method on quadtree-type grids for fluid-structure interaction. (English) Zbl 1323.76079
Bungartz, Hans-Joachim (ed.) et al., Fluid-structure interaction. Modelling, simulation, optimisation. Proceedings of the workshop, Hohenwart, Germany, October 2005. Berlin: Springer (ISBN 3-540-34595-7/pbk). Lecture Notes in Computational Science and Engineering 53, 270-293 (2006).
Summary: In this work a Lattice Boltzmann (LB) fluid flow solver based on unstructured quadtree/octree type Eulerian grids is coupled with a spectral Finite Element (p-FEM) structural mechanics solver based on a Lagrangian description to predict bidirectional fluid-structure interaction (FSI). The methods and algorithms are described in detail. Benchmark computations of a coupled transient problem of a 2D beam-like structure in a channel as defined by the DFG-Research Unit 493 are presented.
For the entire collection see [Zbl 1097.76002].

76M28 Particle methods and lattice-gas methods
74S05 Finite element methods applied to problems in solid mechanics
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
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