Efficient methods for particle-resolved direct numerical simulation

TL;DR

This paper discusses efficient non-grid-conforming numerical methods for simulating particulate flows, emphasizing implementation and convergence, to enable large-scale particle-resolved direct numerical simulations.

Contribution

It introduces adaptable, efficient numerical approaches for particulate flow simulation that do not require mesh adaptation to the fluid domain, applicable across various solvers.

Findings

Methods achieve grid convergence with reference data

Approaches are applicable to large particulate systems

Implementation is flexible across different fluid solvers

Abstract

In the present chapter we focus on the fundamentals of non-grid-conforming numerical approaches to simulating particulate flows, implementation issues and grid convergence vs. available reference data. The main idea is to avoid adapting the mesh (and - as much as possible - the discrete operators) to the time-dependent fluid domain with the aim to maximize computational efficiency. We restrict our attention to spherical particle shapes (while deviations from sphericity are treated in a subsequent chapter). We show that similar ideas can be successfully implemented in a variety of underlying fluid flow solvers, leading to powerful tools for the direct numerical simulation of large particulate systems.