Development of a non-local partial Peridynamic explicit mesh-free incompressible method and its validation for simulating dry dense granular flows

Xu, Tibing; Li, Shenshen

doi:10.1007/s11440-022-01766-4

Cited by 6 publications

(4 citation statements)

References 70 publications

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“…Therefore, taking equation ( 16) into the constitutive equations ( 2), we can obtain the stress and couple stress tensor when EOS calculates the pressure in equation (9). By substituting the pressure, the stress tensor, and the couple stress tensor into equation ( 14) to get , , , and in that case, the velocity field, micro-rotational velocity field, and density field can be updated through equations ( 12) and ( 13), accordingly.…”

Section: Peridynamic Formulation Of Micropolar Fluidmentioning

confidence: 99%

“…In that case, the wavefront for granular flow with a more significant coupling number runs much slower than that with a lower coupling number. Following the experimental observation [9] and numerical results by [11], we choose two time points as t=0.129s and t=0.189s for the velocity distribution of the column collapse with the micropolar fluid model. At the two different time points, the velocity distributions at two different height levels are discussed, viz., ymL=0.125 and ymL=0.375.…”

Section: Effect Of Coupling Numbermentioning

confidence: 99%

“…Many numerical methods solve the Navier-Stokes equation with the μ(I) rheology flow law. The existing methods include the finite element method (FEM) [19] [20], finite volume method (FVM) [13] [15][21], smooth particle hydrodynamics (SPH) [14] [22], moving particle semi-implicit (MPS) [8], peridynamics (PD) [9]- [11]. Compared with mesh-based methods such as FEM and FVM that require special techniques like volume-of-fluid (VOF) to track the free surface of the granular flow in Euler description and encounter grid distortion in Lagrangian description, the mesh-free methods take their advantages in capturing the free surface and wavefront [13].…”

Section: Introductionmentioning

confidence: 99%

“….22 s, and (c) t = 0.42 s. The velocity distribution under different coupling numbers and the result are compared with the experiment[9] and numerical results from Xu and Jin[11]. (a) t=0.129s, ymL=0.125; (b)t=0.129s, ymL=0.375; (c)t=0.189s, ymL=0.125; (d) t=0.189s, ymL=0.375.…”

mentioning

confidence: 99%

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Dense Granular Flow Described by Micropolar Fluid and Its Peridynamic Implementation

Wan,

Qu,

Chu

2024

Preprint

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This work presents a nonlocal mesh-free peridynamic model for micropolar fluids that describe fluids enriched with the micro-rotational and length scale effects. The stabilized force state is applied to remedy the zero-energy mode instability in the micropolar viscous term. The present model is validated with the planar Couette flow and Poiseuille flow simulation. Considering the natural inheritance of micro-spinning and microstructures in granular flows, the peridynamic micropolar fluid model is also applied to simulate the dense, dry granular flow with a modified µ(I) rheology flow law. The effects of the coupling number, the micro-inertia, and the characteristic length on the granular µ(I) flow are discussed in a two-dimensional column collapse example. The numerical results of column collapse show that the micropolar coupling number can significantly affect column collapse behavior. A larger coupling number can slow down the translational movement of the granular flow, resulting in a larger angle of repose. The micro-rotational velocity increases by enlarging the coupling number. The micro-inertia and characteristic length have a significant influence on the micro-rotational behavior of the granular flow. Increasing either micro-inertia or characteristic length value decreases the micro-rotational velocity. However, the characteristic length and micro-inertia have an insignificant influence on the translational behavior. Slight differences are observed in the translational velocity distribution or free surface profile.

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Section: Peridynamic Formulation Of Micropolar Fluidmentioning

confidence: 99%

Section: Effect Of Coupling Numbermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Dense Granular Flow Described by Micropolar Fluid and Its Peridynamic Implementation

Wan,

Qu,

Chu

2024

Preprint

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Numerical model for solid-like and fluid-like behavior of granular flows

Wang,

2024

Acta Geotech.

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We propose a constitutive model for both the solid-like and fluid-like behavior of granular materials by decomposing the stress tensor into quasi-static and collisional components. A hypoplastic model is adopted for the solid-like behavior in the quasi-static regime, while the viscous and dilatant behavior in the fluid-like regime is represented by a modified $$\mu (I)$$ μ ( I ) rheology model. This model effectively captures the transition between solid-like and fluid-like flows. Performance and validation of the proposed model are demonstrated through numerical simulations of element tests.

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Dense granular flow described by micropolar fluid and its peridynamic implementation

Wan,

Qu,

Chu

2024

Acta Geotech.

View full text Add to dashboard Cite

Development of a non-local partial Peridynamic explicit mesh-free incompressible method and its validation for simulating dry dense granular flows

Cited by 6 publications

References 70 publications

Dense Granular Flow Described by Micropolar Fluid and Its Peridynamic Implementation

Dense Granular Flow Described by Micropolar Fluid and Its Peridynamic Implementation

Numerical model for solid-like and fluid-like behavior of granular flows

Dense granular flow described by micropolar fluid and its peridynamic implementation

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