# Numerical methods for simulating the motion of porous balls in simple 3D shear flows under creeping conditions

## TL;DR

This paper introduces two new numerical methods for simulating the behavior of porous particles in 3D shear flows under creeping conditions, focusing on fluid-porous particle interactions using the Brinkman-Debye-Bueche model.

## Contribution

The paper presents novel numerical approaches for modeling fluid and porous particle interactions in 3D Stokes flow, incorporating internal particle permeability effects.

## Key findings

- Porous particle permeability significantly influences particle interactions.
- The methods successfully simulate rotation and interaction of porous balls in shear flows.
- Numerical results highlight the impact of permeability on particle dynamics.

## Abstract

In this article, two novel numerical methods have been developed for simulating fluid/porous particle interactions in three-dimensional (3D) Stokes flow. The Brinkman-Debye-Bueche model is adopted for the fluid flow inside the porous particle, being coupled with the Stokes equations for the fluid flow outside the particle. The rotating motion of a porous ball and the interaction of two porous balls in bounded shear flows have been studied by these two new methods. The numerical results show that the porous particle permeability has a strong effect on the interaction of two porous balls.