A unified level set method for simulating mixed granular flows involving multiple non-spherical DEM models in complex structures

Wang, Siqiang; Ji, Shunying

doi:10.1016/j.cma.2022.114802

Cited by 17 publications

(2 citation statements)

References 81 publications

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“…This introduces certain roughness to the deformable bodies' surface and can be avoided by using mathematically well-defined geometric objects (e.g., curved walls [42]), mapped from the finite element. Other shape representations, including signed distance functions [60], level set methods [42,61,62], and Minkowski sums [63] could also be used. Secondly, currently, only the traction due to particle-wall interaction forces are mapped onto the finite elements; the kinetic traction due to velocity fluctuations is not explicitly considered.…”

Section: Outlooksmentioning

confidence: 99%

Concurrent multi-scale modeling of granular materials: Role of coarse-graining in FEM-DEM coupling

Cheng

2023

Preprint

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The finite element method (FEM) and the discrete element method (DEM) are two commonly used techniques in modeling different types of materials. FEM is used for materials that behave like a continuous substance, while DEM is used for materials that can be seen as individual particles. Sometimes, it's necessary to combine these two methods to get a more accurate representation of the granular material's behavior. This is typically done by directly connecting the individual particles in DEM with the larger elements in FEM.A technique called coarse-graining (CG) is used to bridge the gap between these two methods. It takes the data from the individual particles and turns it into smooth, continuous fields that follow the laws of continuous materials. By choosing a specific scale, the coarse-grained fields are then mixed together and applied to the FEM model. In this research, we explore a new way of combining FEM and DEM, both for surfaces and volumes. When dealing with surfaces, we convert the discrete contact forces between particles and surfaces into a smooth, continuous traction field that is then applied to the FEM model. For volumes, we enhance the homogenization process with additional functions to connect the discrete particles, their coarse-grained fields, and the finite element formulation.This new approach offers better accuracy and symmetry in surface coupling, reducing the energy produced during the combination of FEM and DEM, and for volume coupling, it significantly decreases numerical dissipation, especially when the load applied contains high-frequency components. This technique has the potential to be expanded beyond the current examples. It could be applied to different types of materials and governing equations, allowing for more advanced multi-scale and multi-physical modeling methods.

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Section: Outlooksmentioning

confidence: 99%

Concurrent multi-scale modeling of granular materials: Role of coarse-graining in FEM-DEM coupling

Cheng

2023

Preprint

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“…Real particle geometries can be simplified, for instance, by spheres [1], ellipsoids [2], polyhedral [3], cluster/clump of spheres [4], level set functions [5] and non-uniform rational Bsplines (NURBS) [6,7]. A compatible contact model must be used for each geometry [8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Contact Detection Algorithm for Convex NURBS Particles

Craveiro,

Gay-Nieto,

Wriggers

2023

VIII International Conference on Particle-Based Methods

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The present work proposes a contact detection algorithm for convex particles whose boundaries are mathematically defined by non-uniform B-splines (NURBS). This algorithm involves a hierarchy of contact searches, including both global and local steps. The focus is on the formulation of the local contact problem (LCP) using a master-to-master approach. It is based on computer graphics and optimization techniques. Besides the algorithm, the paper also discusses strategies for modeling particle geometry and their implications in contact detection. The use of multiple parameterizations (patches) assembled in space, for instance, provides more flexibility in the construction of particles and avoids numerical singularities. However, it leads to local geometric imperfections at the connection between patches. The LCP formulation proposed herein can deal with such imperfections through a contact degeneration technique. An example shows the robustness of the method.

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A GPU-based DEM framework for simulation of polyhedral particulate system

2023

Granular Matter

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A unified level set method for simulating mixed granular flows involving multiple non-spherical DEM models in complex structures

Cited by 17 publications

References 81 publications

Concurrent multi-scale modeling of granular materials: Role of coarse-graining in FEM-DEM coupling

Concurrent multi-scale modeling of granular materials: Role of coarse-graining in FEM-DEM coupling

Contact Detection Algorithm for Convex NURBS Particles

A GPU-based DEM framework for simulation of polyhedral particulate system

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