Grand challenges for Smoothed Particle Hydrodynamics numerical schemes
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Grand challenges for Smoothed Particle Hydrodynamics numerical schemes Renato Vacondio1 · Corrado Altomare2,3 · Matthieu De Leffe4 · Xiangyu Hu5 · David Le Touzé6 · Steven Lind7 · Jean-Christophe Marongiu8 · Salvatore Marrone9 · Benedict D. Rogers10 · Antonio Souto-Iglesias11 Received: 22 December 2019 / Revised: 16 July 2020 / Accepted: 24 August 2020 © The Author(s) 2020
Abstract 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 astrophysics to free-surface flows, to complex mixing problems in industry and has had notable successes. As a young computational method, the SPH method still requires development to address important elements which prevent more widespread use. This effort has been led by members of the SPH rEsearch and engineeRing International Community (SPHERIC) who have identified SPH Grand Challenges. The SPHERIC SPH Grand Challenges (GCs) have been grouped into 5 categories: (GC1) convergence, consistency and stability, (GC2) boundary conditions, (GC3) adaptivity, (GC4) coupling to other models, and (GC5) applicability to industry. The SPH Grand Challenges have been formulated to focus the attention and activities of researchers, developers, and users around the world. The status of each SPH Grand Challenge is presented in this paper with a discussion on the areas for future development. Keywords SPH · Smoothed Particle Hydrodynamics · Grand challenges · Meshless · Navier–Stokes equations · Lagrangian
1 Introduction
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Renato Vacondio [email protected] Corrado Altomare [email protected]
1
The smoothed-particle hydrodynamics (SPH) numerical method was originally introduced in 1977 for astrophysical simulations [41,60]. Since then, SPH has progressed
Matthieu De Leffe [email protected]
2
Universitat Politécnica de Catalunya - BarcelonaTech, Carrer Jordi Girona 1-3, 08034 Barcelona, Spain
Xiangyu Hu [email protected]
3
Ghent University, Technologiepark Zwijnaarde 60, 9052 Zwijnaarde, Belgium
David Le Touzé [email protected]
4
Nextflow Software, 1 rue de la Noë, 44321 Nantes, France
5
Steven Lind [email protected]
Department of Mechanical Engineering, Technical University of Munich, 85748 Graching, Germany
6
Jean-Christophe Marongiu [email protected]
Ecole Centrale Nantes, LHEEA Lab. (ECN and CNRS), 1 rue de la Noë, 44300 Nantes, France
7
Salvatore Marrone [email protected]
School of Engineering, The University of Manchester, Manchester M13 9PL, UK
8
Benedict D. Rogers [email protected]
ANDRITZ Hydro, Rue des Deux Gares 6, 1800 Vevey, Switzerland
9
CNR-INM, INstitute of Marine Engineering, Rome, Italy
Antonio Souto-Iglesias [email protected]
10
School of Engineering, The University of Manchester, Manchester M13 9PL, UK
Department of Engineering and Architecture, University of Parma, Parco Area delle Scienze 181/A, 43121 Parma, Italy
11
CEHINAV, D
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