A Review on Contact and Collision Methods for Multi-body Hydrodynamic problems in Complex Flows

TL;DR

This review comprehensively covers contact and collision methods in multibody hydrodynamic simulations of complex particle-laden flows, emphasizing hybrid Eulerian-Lagrangian models like IB-LBM for various interparticle interactions.

Contribution

It provides a detailed overview of mathematical frameworks, applicability, and limitations of collision and contact methods in multibody hydrodynamic simulations, including recent mesoscale models.

Findings

Analysis of various collision models and their suitability for different flow regimes.

Comparison of simple and complex interparticle interaction representations.

Discussion of the computational efficiency and limitations of hybrid Eulerian-Lagrangian approaches.

Abstract

Modeling and direct numerical simulation of particle-laden flows have a tremendous variety of applications in science and engineering across a vast spectrum of scales from pollution dispersion in the atmosphere, to fluidization in the combustion process, to aerosol deposition in spray medication, along with many others. Due to their strongly nonlinear and multiscale nature, the above complex phenomena still raise a very steep challenge to the most computational methods. In this review, we provide comprehensive coverage of multibody hydrodynamic (MBH) problems focusing on particulate suspensions in complex fluidic systems that have been simulated using hybrid Eulerian-Lagrangian particulate flow models. Among these hybrid models, the Immersed Boundary-Lattice Boltzmann Method (IB-LBM) provides mathematically simple and computationally-efficient algorithms for solid-fluid hydrodynamic interactions in MBH simulations. This paper elaborates on the mathematical framework, applicability, and limitations of various 'simple to complex' representations of close-contact interparticle interactions and collision methods, including short-range inter-particle and particle-wall steric interactions, spring and lubrication forces, normal and oblique collisions, and mesoscale molecular models for deformable particle collisions based on hard-sphere and soft-sphere models in MBH models to simulate settling or flow of nonuniform particles of different geometric shapes and sizes in diverse fluidic systems.