Efficient methods for particle-resolved direct numerical simulation

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.