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Article information
2021 , Volume 26, ¹ 1, p.50-61
Potapov I.I., Reshetnikova O.V.
Usage of composite kernel in the SPH method for simulating the movement of granular materials
The purpose of the study is to improve the practice of the SPH methodology which is applied for modelling of movement in the various media. The basis of the SPH-approximation of the function fields is formed by the forms of the smoothing kernel and its derivatives. Popular forms of smoothing kernels are characterized by the presence of significant fatal approximation errors when modelling granular media. Methodology. The state of granular medium is described by the classical motion and mass conservation equations. Each granule of the medium corresponds to a separate SPH particle. To approximate the density and pressure fields in the SPH particle, a new combination of the smoothing core and its first derivative forms is proposed. . Results. The proposed new composite core fulfills the conditions of mass conservation and density recovery in the particle during SPH modeling. It is shown that the new composite core is characterized by a minimum error of pressure gradient approximation about 2%. A new estimate for the velocity of propagation of an elastic wave in a medium, sufficient to obtain a correct numerical solution, is proposed. A comparative analysis of the obtained solutions with experimental data is made.. Findings. The proposed composite shape of the smoothing kernel allows correct simulation of the motion of a granular medium by the SPH method. Its compactness (unit smoothing radius and unit smoothing length) makes it possible to correctly reconstruct the density field at the boundaries of the computational domain and in cases of structural changes in the framework of the granular medium. The numerical solution of the problem of the collapse of a column of granules obtained using the proposed composite core shows good agreement with experimental data.
[full text]
Keywords: smoothed particle hydrodynamics, kernel approximation, simulation of granular material
doi: 10.25743/ICT.2021.26.1.004
Author(s):
Potapov Igor Ivanovich
Dr.
Position: General Scientist
Office: Computer center of Far East Branch of the Russian Academy of Sciences
Address: 680000, Russia, Khabarovsk, 65, Kim U Chena street
Phone Office: (4212) 22-72-67
E-mail: potapov2i@gmail.com
Reshetnikova Olga Vladimirovna
PhD.
Position: Research Scientist
Office: Computer center of Far East Branch of the Russian Academy of Sciences
Address: 680000, Russia, Khabarovsk, 65, Kim U Chena street
Phone Office: (4212) 22-72-67
E-mail: ov13@yandex.ru
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Bibliography link:
Potapov I.I., Reshetnikova O.V. Usage of composite kernel in the SPH method for simulating the movement of granular materials // Computational technologies. 2021. V. 26. ¹ 1. P. 50-61
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