scholarly journals The Mathematics of Smoothed Particle Hydrodynamics (SPH) Consistency

2021 ◽  
Vol 7 ◽  
Author(s):  
Leonardo Di G. Sigalotti ◽  
Jaime Klapp ◽  
Moncho Gómez Gesteira
Keyword(s):  
Computer Graphics ◽  
Smoothed Particle Hydrodynamics ◽  
Recent Progress ◽  
Convergence Properties ◽  
Technical Developments ◽  
Particle Hydrodynamics ◽  
Recent Developments ◽  
Smoothed Particle ◽  
Numerical Tool ◽  
Theoretical Foundations

Since its inception Smoothed Particle Hydrodynamics (SPH) has been widely employed as a numerical tool in different areas of science, engineering, and more recently in the animation of fluids for computer graphics applications. Although SPH is still in the process of experiencing continual theoretical and technical developments, the method has been improved over the years to overcome some shortcomings and deficiencies. Its widespread success is due to its simplicity, ease of implementation, and robustness in modeling complex systems. However, despite recent progress in consolidating its theoretical foundations, a long-standing key aspect of SPH is related to the loss of particle consistency, which affects its accuracy and convergence properties. In this paper, an overview of the mathematical aspects of the SPH consistency is presented with a focus on the most recent developments.

A SPH Based Particle System Editor for Computer Games

2011 ◽  
Vol 109 ◽  
pp. 725-728
Author(s):  
Yong Song Zhan ◽  
Xian Jun Chen
Keyword(s):  
Computer Graphics ◽  
Computer Games ◽  
Smoothed Particle Hydrodynamics ◽  
Development Process ◽  
Particle System ◽  
Special Effects ◽  
Novel Approach ◽  
Particle Hydrodynamics ◽  
Smoothed Particle ◽  
Movement Simulation

Particle system is an essential building block for visualize various types of special effects in applications of computer graphics. In this paper, we propose a novel approach based on particle system editor supported by GPU (Graphic Process Units) to provide a WYSIWYG (What You See Is What You Get) editing environment for simplifying special effects development process, where a SPH (Smoothed Particle Hydrodynamics) solver is used for particles movement simulation. Experimental results show the robustness and efficiency of the proposed system for computer games in real time.

Simulation de l'écoulement au cours du procédé de rotomoulage par la méthode Smoothed Particle Hydrodynamics (SPH)

2008 ◽  
Vol 96 (6) ◽  
pp. 263-268 ◽  
Author(s):  
E. Mounif ◽  
V. Bellenger ◽  
A. Ammar ◽  
R. Ata ◽  
P. Mazabraud ◽  
...  
Keyword(s):  
Smoothed Particle Hydrodynamics ◽  
Particle Hydrodynamics ◽  
Smoothed Particle

Numerical Simulation of Flow in Complex Geometries by Using Smoothed Particle Hydrodynamics

2020 ◽  
Vol 59 (40) ◽  
pp. 18236-18246
Author(s):  
Tianwen Dong ◽  
Yadong He ◽  
Jianchun Wu ◽  
Shiyu Jiang ◽  
Xingyuan Huang ◽  
...  
Keyword(s):  
Numerical Simulation ◽  
Smoothed Particle Hydrodynamics ◽  
Complex Geometries ◽  
Particle Hydrodynamics ◽  
Smoothed Particle

scholarly journals Review of smoothed particle hydrodynamics: towards converged Lagrangian flow modelling

2020 ◽  
Vol 476 (2241) ◽  
pp. 20190801
Author(s):  
Steven J. Lind ◽  
Benedict D. Rogers ◽  
Peter K. Stansby
Keyword(s):  
Smoothed Particle Hydrodynamics ◽  
Graphics Processing Units ◽  
Wave Structure ◽  
Free Form ◽  
Mesh Free ◽  
Weakly Compressible ◽  
Particle Hydrodynamics ◽  
Massively Parallel Computing ◽  
Smoothed Particle ◽  
Graphics Processing

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 complex flows with interfaces and multiple phases, SPH has developed considerably in the past decade. While original applications were in astrophysics, early engineering applications showed the versatility and robustness of the method without emphasis on accuracy and convergence. The early method was of weakly compressible form resulting in noisy pressures due to spurious pressure waves. This was effectively removed in the incompressible (divergence-free) form which followed; since then the weakly compressible form has been advanced, reducing pressure noise. Now numerical convergence studies are standard. While the method is computationally demanding on conventional processors, it is well suited to parallel processing on massively parallel computing and graphics processing units. Applications are diverse and encompass wave–structure interaction, geophysical flows due to landslides, nuclear sludge flows, welding, gearbox flows and many others. In the state of the art, convergence is typically between the first- and second-order theoretical limits. Recent advances are improving convergence to fourth order (and higher) and these will also be outlined. This can be necessary to resolve multi-scale aspects of turbulent flow.

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