Mesh-free peridynamic coupled simulation of impacting collapse of a granular column with various heights

2021 ◽  
Vol 33 (10) ◽  
pp. 103321
Author(s):  
Tibing Xu ◽  
Yee-Chung Jin ◽  
Yih-Chin Tai
2003 ◽  
Author(s):  
F. A. Thomassy ◽  
G. R. Wendel ◽  
S. T. Green ◽  
A. C. Jank

Author(s):  
Steven J. Lind ◽  
Benedict D. Rogers ◽  
Peter K. Stansby

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.


Proceedings ◽  
2018 ◽  
Vol 2 (8) ◽  
pp. 488 ◽  
Author(s):  
Joel Torres-Serra ◽  
Enrique Romero ◽  
Antonio Rodríguez-Ferran

2021 ◽  
Vol 1754 (1) ◽  
pp. 012026
Author(s):  
Fan Yang ◽  
Kai Chen ◽  
Shaofeng Qian ◽  
JiangYang Zhan ◽  
Rui Yu ◽  
...  

Energy ◽  
2021 ◽  
pp. 121389
Author(s):  
Xuejing Zheng ◽  
Qihang Sun ◽  
Yaran Wang ◽  
Lijun Zheng ◽  
Xinyong Gao ◽  
...  

2021 ◽  
Vol 11 (3) ◽  
pp. 1020
Author(s):  
Mohamadreza Afrasiabi ◽  
Hagen Klippel ◽  
Matthias Roethlin ◽  
Konrad Wegener

Smoothed Particle Hydrodynamics (SPH) is a mesh-free numerical method that can simulate metal cutting problems efficiently. The thermal modeling of such processes with SPH, nevertheless, is not straightforward. The difficulty is rooted in the computationally demanding procedures regarding convergence properties and boundary treatments, both known as SPH Grand Challenges. This paper, therefore, intends to rectify these issues in SPH cutting models by proposing two improvements: (1) Implementing a higher-order Laplacian formulation to solve the heat equation more accurately. (2) Introducing a more realistic thermal boundary condition using a robust surface detection algorithm. We employ the proposed framework to simulate an orthogonal cutting process and validate the numerical results against the available experimental measurements.


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