Grand challenges for smoothed particle hydrodynamics numerical schemes

R Vacondio, C Altomare, M De Leffe, X Hu… - Computational Particle …, 2021 - Springer
This paper presents a brief review of grand challenges of Smoothed Particle Hydrodynamics
(SPH) method. As a meshless method, SPH can simulate a large range of applications from …

Review of smoothed particle hydrodynamics: towards converged Lagrangian flow modelling

SJ Lind, BD Rogers… - Proceedings of the …, 2020 - royalsocietypublishing.org
This paper presents a review of the progress of smoothed particle hydrodynamics (SPH)
towards high-order converged simulations. As a mesh-free Lagrangian method suitable for …

Smoothed particle hydrodynamics (SPH) for free-surface flows: past, present and future

D Violeau, BD Rogers - Journal of Hydraulic Research, 2016 - Taylor & Francis
This paper assesses some recent trends in the novel numerical meshless method smoothed
particle hydrodynamics, with particular focus on its potential use in modelling free-surface …

Incompressible smoothed particle hydrodynamics for free-surface flows: A generalised diffusion-based algorithm for stability and validations for impulsive flows and …

SJ Lind, R Xu, PK Stansby, BD Rogers - Journal of Computational Physics, 2012 - Elsevier
The incompressible smoothed particle hydrodynamics (ISPH) method with projection-based
pressure correction has been shown to be highly accurate and stable for internal flows and …

[HTML][HTML] A fluid–structure interaction model for free-surface flows and flexible structures using smoothed particle hydrodynamics on a GPU

J O'Connor, BD Rogers - Journal of Fluids and Structures, 2021 - Elsevier
This paper presents the development of a numerical model for violent hydrodynamics of free-
surface flows interacting with flexible structures using the meshless smoothed particle …

Comparisons of weakly compressible and truly incompressible algorithms for the SPH mesh free particle method

ES Lee, C Moulinec, R Xu, D Violeau… - Journal of computational …, 2008 - Elsevier
In the smoothed particle hydrodynamics (SPH) discretisation method for the Navier–Stokes
equations the most widespread method to solve for pressure and mass conservation is the …

SPH accuracy improvement through the combination of a quasi-Lagrangian shifting transport velocity and consistent ALE formalisms

G Oger, S Marrone, D Le Touzé, M De Leffe - Journal of Computational …, 2016 - Elsevier
This paper addresses the accuracy of the weakly-compressible SPH method. Interpolation
defects due to the presence of anisotropic particle structures inherent to the Lagrangian …

The δ-ALE-SPH model: An arbitrary Lagrangian-Eulerian framework for the δ-SPH model with particle shifting technique

M Antuono, PN Sun, S Marrone, A Colagrossi - Computers & Fluids, 2021 - Elsevier
The behaviour of a weakly-compressible SPH scheme obtained by rewriting the Navier-
Stokes equations in an arbitrary Lagrangian-Eulerian (ALE) format is studied. Differently …

Variable resolution for SPH: a dynamic particle coalescing and splitting scheme

R Vacondio, BD Rogers, PK Stansby, P Mignosa… - Computer Methods in …, 2013 - Elsevier
In this paper a novel variable resolution method using particle splitting and coalescing for
the SPH numerical solution of the Navier–Stokes equations is presented. The key idea of the …

Analysis and reduction of quadrature errors in the material point method (MPM)

M Steffen, RM Kirby, M Berzins - International journal for …, 2008 - Wiley Online Library
The material point method (MPM) has demonstrated itself as a computationally effective
particle method for solving solid mechanics problems involving large deformations and/or …