2018
DOI: 10.1615/intjmultcompeng.2018026895
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An Adaptive Reduced-Dimensional Discrete Element Model for Dynamic Responses of Granular Materials With High-Frequency Noises

Abstract: We present a dimensional-reduction framework based on proper orthogonal decomposition (POD) for the nondissipative explicit dynamic discrete element method (DEM) simulations. Through Galerkin projection, we introduce a finite dimensional space with lower number of degree of freedoms such that the discrete element simulations are not only faster but also free of high-frequency noises. Since this method requires no injection of artificial or numerical damping, there is no need to tune damping parameters. The sup… Show more

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Cited by 11 publications
(7 citation statements)
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“…The damping values of α and β for those simulations that best matched with the experimental tests described in Figures 10,11,14,and 15 were plotted in Figure 16. These best-matched values of α and β were observed to follow the same trend as the results reported in Figure 4A (included in Figure 16) from matching MP to SP damping simulations following the DeJong 43 method (see Section 2.2) to assign β, without including the simulations that were strongly influenced by undamped bouncing.…”
Section: Using Mp Damping To Approximate Correct Use Of Sp Dampingmentioning
confidence: 86%
See 1 more Smart Citation
“…The damping values of α and β for those simulations that best matched with the experimental tests described in Figures 10,11,14,and 15 were plotted in Figure 16. These best-matched values of α and β were observed to follow the same trend as the results reported in Figure 4A (included in Figure 16) from matching MP to SP damping simulations following the DeJong 43 method (see Section 2.2) to assign β, without including the simulations that were strongly influenced by undamped bouncing.…”
Section: Using Mp Damping To Approximate Correct Use Of Sp Dampingmentioning
confidence: 86%
“…11,13 Alternatively, when the phenomena to be modelled imply high-frequency oscillations, the SP component of Rayleigh damping is desirable in order to avoid non-realistic behaviour. 14 However, the computational time of certain problems may then become impractically long because the application of SP damping requires a time step that is smaller than that required by the conditionally stable explicit scheme. Another factor that makes for lengthy computation time when using SP damping is the required number and size of the discrete elements.…”
Section: Introductionmentioning
confidence: 99%
“…The current paper focuses on using a quasistationary velocity field for the reduced DEM. It is a compelling idea, seemingly feasible, to extend this to viscoelastic deformations using the method of Zhong and Sun [25] for predicting the velocity field.…”
Section: Discussionmentioning
confidence: 99%
“…Recently, Zhong and Sun [25], with inspiration from [24] and [11], investigated a reduced-order model for granular materials under small viscoelastic deformations, with fix connectivity between the particles, using proper orthogonal decomposition (POD) of the displacement field.…”
Section: Previous Workmentioning
confidence: 99%
“…Recently, Zhong and Sun [24] investigated a reduced-order model for granular materials under small viscoelastic deformations, with fix connectivity between the particles, using proper orthogonal decomposition (POD) of the displacement field. Inspi-ration for that work was found in [23] and [10].…”
Section: Previous Workmentioning
confidence: 99%