Decaying solitary waves propagating in one-dimensional damped granular chain

Song, Zhen; Xiao-hui, Yang; Feng, Wenxing; Xi, Zhong-Hong; Li, Liejuan; Shi, Yu-Ren

doi:10.1088/1674-1056/27/7/074501

Cited by 3 publications

(2 citation statements)

References 30 publications

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“…With the development of computer technology, the discrete element method (DEM) is increasingly used in the granular flow mechanism research field. [20,21] The DEM can track the real-time motion of each particle, and obtain the particle's rotational motion information. [22] The influence of rolling friction coefficient was investigated in Yu and Saxen's DEM study of Silo.…”

Section: Introductionmentioning

confidence: 99%

Rolling velocity and relative motion of particle detector in local granular flow

Li¹,

Liu²,

Zheng³

et al. 2022

Chinese Phys. B

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The velocity of a particle detector in granular flow can be identified as the composition of rolling and sliding velocities. The study of the contribution of rolling and sliding velocities provide a new explanation to the relative motion between the Detector and the local granular flow. In this study, a spherical detector using embedded inertial navigation technology is placed in the chute granular flow to study the movement of the Detector relative to the granular flow. It is shown by PIV that the velocity of chute granular flow conforms to Silbert’s formula. And the velocity of the Detector is greater than the granular flow around it. By decomposing the velocity into sliding and rolling velocity, it is indicated that the movement of the detector relative to the granular flow is mainly caused by rolling. The rolling detail shown by DEM simulation leads to two potential mechanisms based on the position and driven of the Detector.

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Section: Introductionmentioning

confidence: 99%

Rolling velocity and relative motion of particle detector in local granular flow

Li¹,

Liu²,

Zheng³

et al. 2022

Chinese Phys. B

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“…( 2). Song et al [5] provided some numerical and theoretical analyses for it. Also, the conservation of mass for Eq.…”

Section: Introductionmentioning

confidence: 99%

Second order conformal multi-symplectic method for the damped Korteweg–de Vries equation*

Feng¹

2019

Chinese Phys. B

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A conformal multi-symplectic method has been proposed for the damped Korteweg–de Vries (DKdV) equation, which is based on the conformal multi-symplectic structure. By using the Strang-splitting method and the Preissmann box scheme, we obtain a conformal multi-symplectic scheme for multi-symplectic partial differential equations (PDEs) with added dissipation. Applying it to the DKdV equation, we construct a conformal multi-symplectic algorithm for it, which is of second order accuracy in time. Numerical experiments demonstrate that the proposed method not only preserves the dissipation rate of mass exactly with periodic boundary conditions, but also has excellent long-time numerical behavior.

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Simulation on propagation characteristics of solitary waves in a one-dimensional charged granular chain

Zhou

et al. 2019

Granular Matter

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Decaying solitary waves propagating in one-dimensional damped granular chain

Cited by 3 publications

References 30 publications

Rolling velocity and relative motion of particle detector in local granular flow

Rolling velocity and relative motion of particle detector in local granular flow

Second order conformal multi-symplectic method for the damped Korteweg–de Vries equation*

Simulation on propagation characteristics of solitary waves in a one-dimensional charged granular chain

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