# A volume penalization lattice Boltzmann method for simulating flows in the presence of obstacles

## TL;DR

This paper introduces a combined volume penalization and lattice Boltzmann method to simulate flows with obstacles, demonstrating its accuracy and efficiency for complex fluid dynamics scenarios.

## Contribution

It develops a novel VP LBM approach, integrating volume penalization with both single and multiple relaxation time LBMs, including parallelization for complex flow simulations.

## Key findings

- Accurate results with analytical solutions for flows with moving boundaries.
- Reliable simulation of flow around a cylinder at high Reynolds number.
- Parallelized VP LBM effectively handles complex obstacle-laden flows.

## Abstract

The LBM is combined with the Volume Penalization (VP LBM) approach to simulate flows in the presence of obstacles. The single relaxation time LBM and the multiple relaxation time LBM are used. For cases where the fluid motion is enhanced by moving boundaries, the comparison of our results with analytical results is satisfactory. The flow around a cylinder at a relatively high Reynolds number is also calculated. For that case,the VP LBM method was parallelized. A comparison of our results with those found in the literature, demonstrates the reliability of the VP LBM to treat complex flows.