A lattice Boltzmann approach to fluid-structure interaction problems

摘要

In this work, the lattice Boltzmann method is coupled to the finite element method in order to solve two-dimensional fluid-structure interaction problems. An accurate curved boundary condition allows to account for the exact position of an obstacle in the fixed lattice grid. The corotational formulation is used to describe the structural kinematics characterized by large displacements. The time discontinuous Galerkin method is employed to obtain the dynamics of the structure. Such method is compared to the standard Newmark algorithm in terms of convergence and accuracy properties. A strategy to couple the lattice Boltzmann fluid solver to the finite element structural solver is presented.