Simulation of fluid-structure interaction in a microchannel using the lattice Boltzmann method and size-dependent beam element on a graphics processing unit

Abstract

Fluid-structure interaction (FSI) problems in microchannels play a prominent role in many engineering applications. The present study is an effort toward the simulation of flow in microchannel considering FSI. The bottom boundary of the microchannel is simulated by size-dependent beam elements for the finite element method (FEM) based on a modified couple stress theory. The lattice Boltzmann method (LBM) using the D2Q13 LB model is coupled to the FEM in order to solve the fluid part of the FSI problem. Because of the fact that the LBM generally needs only nearest neighbor information, the algorithm is an ideal candidate for parallel computing. The simulations are carried out on graphics processing units (GPUs) using computed unified device architecture (CUDA). In the present study, the governing equations are non-dimensionalized and the set of dimensionless groups is exhibited to show their effects on micro-beam displacement. The numerical results show that the displacements of the micro-beam predicted by the size-dependent beam element are smaller than those by the classical beam element.

Microdroplet targeting induced by substrate curvature

“…In the present work, the lattice Boltzmann (LB) method, a numerically robust technique [22,23] for simulating interfacial phenomena, was used to reveal the behaviors of the droplet targeting according to substrate curvature. We applied the three dimensional multicomponent and multiphase Shan-Chen (SC) type LB method [24,25] based on the D3Q19 lattice, [26] which has particularly been successfully used to study droplets wetting on spherical substrates.…”

Numerical modeling of condensate droplet on superhydrophobic nanoarrays using the lattice Boltzmann method

“…[14][15][16][17] In recent years, the lattice Boltzmann method (LBM) has rapidly developed into a powerful numerical approach and has been used in many fields. [18][19][20][21][22][23][24][25][26] The LBM has also attracted a lot of attention in the simulations of wettability of the nanoarray surface due to its simplicity and efficiency. [27][28][29][30] It is noted that most numerical activities using the lattice Boltzmann (LB) model have primarily been performed through placing a droplet on a micro-or nano-structured surface to investigate the wetting behavior, where the process of droplet nucleation was not involved.…”