Lattice Boltzmann method for fluid-structure interaction in compressible flow

TL;DR

This paper introduces a two-way coupled lattice Boltzmann method for simulating fluid-structure interactions in compressible flows, capable of handling multiple moving bodies and capturing complex phenomena like transonic flutter.

Contribution

It develops a novel lattice Boltzmann scheme with mesh deformation localization for accurate, efficient fluid-structure interaction modeling in compressible regimes.

Findings

Accurately models vortex-induced vibrations of cylinders.

Successfully captures transonic flutter over an airfoil.

Demonstrates minimal computational overhead for multiple moving bodies.

Abstract

We present a two-way coupled fluid-structure interaction scheme for rigid bodies using a two-population lattice Boltzmann formulation for compressible flows. Arbitrary Lagrangian-Eulerian formulation of the discrete Boltzmann equation on body-fitted meshes is used in a combination with polynomial blending functions. The blending function approach localizes mesh deformation and allows treating multiple moving bodies with a minimal computational overhead. We validate the model with several test cases of vortex induced vibrations of single and tandem cylinders and show that it can accurately describe dynamic behavior of these systems. Finally, in the fully compressible regime, we demonstrate that the proposed model accurately captures complex phenomena such as transonic flutter over an airfoil.