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Modeling calving process of glacier with dilated polyhedral discrete element method
Mass loss caused by glacier calving is one of the direct contributors to global sea level rise. Reliable calving laws are required for accurate...
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Introduction to the Discrete Element Method (DEM)
This chapter introduces the mathematical formulations, numerical models and solution schemes used throughout the book. The discrete and distinct...
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A Statistical Finite Element Method Integrating a Plurigaussian Random Field Generator for Multi-scale Modelling of Solute Transport in Concrete
A new model for the multi-scale simulation of solute transport in concrete is presented. The model employs plurigaussian simulations to generate...
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Comparative tests on the failure characteristics and mechanisms of slopes with curved surfaces
A number of landslides have occurred in the slopes with curved surfaces. Curved surfaces have the potential to accelerate the failure of slopes and...
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Coupled Fracture Modelling with Distinct Element Methods
The Distinct Element Method (DEM) simulates rock as an assembly of bonded particles – either spheres or convex polyhedral, and offers a unique...
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Angle-Based Contact Detection in Discontinuous Deformation Analysis
This study presents a novel angle-based contact detection method to address the concave contact problem of arbitrary polyhedra, including convex and...
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Mesoscopic Damage and Fracturing of Heterogeneous Brittle Rocks Based on Three-dimensional Polycrystalline Discrete Element Method
Rock heterogeneities often control microcracking on the grain scale and therefore the mechanical behavior of the rock on the macroscale. We therefore...
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Three-dimensional distance potential discrete element method for the numerical simulation of landslides
The study focuses on the kinetic process of landslides, including associated travel trajectory and endangered area. A three-dimensional distance...
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Mesh-free kinematic shakedown analysis of cohesive soils
A novel mesh-free solution is proposed for kinematic shakedown analysis of cohesive soils under repeating loads. For this purpose, the continuous...
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A Novel Contact Algorithm Based on a Distance Potential Function for the 3D Discrete-Element Method
The combined finite–discrete-element method (FDEM) has made a groundbreaking progress in the computation of contact interaction. However, FDEM has a...
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The Internal Topology of Rocks
We discuss the modern mathematical tools for studying the topology of pore space. In Sect. 3.1. Minkowski functionals are introduced through the...
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A discontinuous Galerkin method for a diffuse-interface model of immiscible two-phase flows with soluble surfactant
A numerical method using discontinuous polynomial approximations is formulated for solving a phase-field model of two immiscible fluids with a...
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Three-Dimensional Discontinuous Deformation Analysis of Failure Mechanisms and Movement Characteristics of Slope Rockfalls
A rockfall is a typical dynamic problem of a discontinuous block system originating from a dangerous rock mass and always presents serious...
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Efficient Representation of Laguerre Mosaics with an Application to Microstructure Simulation of Complex Ore
Laguerre mosaics have been an important modeling approach in astronomy, physics, crystallography, geology and mathematics for several decades. In...
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Experimental Verifications and Applications of 3D-DDA in Movement Characteristics and Disaster Processes of Rockfalls
Rockfalls are a major hazard in mountain areas and along engineering slopes. It is important to fully understand the characteristics and processes of...
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On several numerical strategies to solve Richards’ equation in heterogeneous media with finite volumes
We propose several numerical approaches building on upstream mobility two-point flux approximation finite volumes to solve Richards’ equation in...
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Unstructured Voronoi grids conforming to lower dimensional objects
We present a novel mixed-dimensional method for generating unstructured polyhedral grids that conform to prescribed geometric objects in arbitrary...
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Pore-Scale Imaging and Modelling of Reactive Flow in Evolving Porous Media: Tracking the Dynamics of the Fluid–Rock Interface
Fluid–mineral and fluid–rock interfaces are key parameters controlling the reactivity and fate of fluids in reservoir rocks and aquifers. The...
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Elliptical harmonic method for gravity forward modelling of 2D bodies
The elliptical harmonic method for gravity forward computation of two-dimensional (2D) bodies with constant, polynomial and exponential density...
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Mitigation effects of trees on rockfall hazards: does rock shape matter?
Does rock shape matter to the mitigation effects of trees on rockfall hazards? This question must be resolved in order to better quantify the...
