Smoothed particle hydrodynamics (SPH) for complex fluid flows: Recent developments in methodology and applications

Abstract

Computer modeling of complex fluid flows usually presents great challenges for conventional grid-based numerical methods. Smoothed particle hydrodynamics (SPH) is a meshfree Lagrangian particle method and has special advantages in modeling complex fluid flows, especially those with large fluid deformations, fluid-structure interactions, and multi-scale physics. In this paper, we review the recent developments of SPH in methodology and applications for modeling complex fluid flows. Specifically, in methodology, some important issues including modified SPH particle approximation schemes for improving discretization accuracy, different particle regularization techniques, and various boundary treatment algorithms for solid boundary, free surface, or multiphase interface are described. More importantly, the SPH method with ideas from the dissipative particle dynamics for complex fluids in macro- or meso-scales is discussed. In applications, different complex fluid flows, including biological flows, microfluidics and droplet dynamics, non-Newtonian fluid flows, free surface flows, multiphase flows, and flows with fluid-structure interaction, are reviewed. Some concluding remarks in SPH modeling of complex fluid flows are provided.

Fluid–Structure Interaction Analyses of Biological Systems Using Smoothed-Particle Hydrodynamics

“…It has been used in many fields outside astrophysics, including ballistics, volcanology, and oceanography. In recent years, it has been increasingly adopted by those with an interest in biomedical engineering [26][27][28].…”

On the Evolution of Different Types of Green Water Events

“…In the latter, if unsteady and broken flow can be observed on the deck (see the snapshots in Figure 16 and in [4]), then the application of numerical models, rather than analytical models, could be used for detailed research. Although mesh-based Computational Fluid Dynamics (CFD) approaches are popular tools for fluid-structure interaction simulations, including green water (e.g., [38,57,[75][76][77][78][79]), progress in CFD methods based on particles (e.g., [37,51,[80][81][82][83]) could be a useful alternative, due to their ability to simulate large deformations and breaking flows [84]. A comprehensive review of these methods can be found in [85].…”

Grand challenges for Smoothed Particle Hydrodynamics numerical schemes

“…In the past decade, SPH has made massive progress, and this is evidenced by the increasing interest and uptake of the method, by developers and users in both industry and research and the exponentially increasing number of publications. In the years 2016-2019, there have been 5 review papers on SPH alone [44,83,102,105,110]. The SPH Grand Challenges have therefore been formulated to focus the worldwide developmental efforts in taking SPH to a point where the fundamental theory and practical use are mature so that SPH takes its rightful place in the range of methods at the disposal of scientists and engineers.…”