Simulating non-Brownian suspensions with non-homogeneous Navier slip boundary conditions

TL;DR

This paper introduces a robust simulation method for non-Brownian suspensions incorporating non-homogeneous Navier slip boundary conditions, enabling accurate large-scale hydrodynamic interaction modeling at micro and nano scales.

Contribution

It presents a new implicit solvent simulation approach using a regularized boundary integral formulation for suspensions with slip boundary conditions, validated against analytical results.

Findings

Validated the method with drag force comparisons on particles.

Analyzed effective viscosity with varying slip lengths.

Benchmarking against analytical slip theories.

Abstract

Fluid-structure interactions are commonly modeled using no-slip boundary conditions. However, small deviations from these conditions can significantly alter the dynamics of suspensions and particles, especially at the micro and nano scales. This work presents a robust implicit solvent method for simulating non-colloidal suspensions with non-homogeneous Navier slip boundary conditions. Our approach is based on a regularized boundary integral formulation, enabling accurate and efficient computation of hydrodynamic interactions. This makes the method well-suited for large-scale simulations. We validate the method by comparing computed drag forces on homogeneous and Janus particles with analytical results. Additionally, we consider the effective viscosity of suspensions with varying slip lengths, benchmarking against available analytical no-slip and partial-slip theories.