<scp>VORO++</scp>: A three-dimensional Voronoi cell library in C++

Rycroft, Chris H.

doi:10.1063/1.3215722

Cited by 973 publications

(644 citation statements)

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“…As explained in Refs. [20][21][22], for the construction of a granular assembly an initial cubic grid is filled with points at random positions restricted to one point per cell. Then the Wigner-Seitz polyhedron is calculated for each random point.…”

Section: B Voronoi Construction Of Porous Mediamentioning

confidence: 99%

Numerical study on the permeability in a tensorial form for laminar flow in anisotropic porous media

Galindo‐Torres

Scheuermann

2012

Phys. Rev. E

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Pore-scale flow simulations were conducted to investigate the permeability tensor of anisotropic porous media constructed using the Voronoi tessellation method. This construction method enabled the introduction of anisotropy to the media at the particle level in a random and yet controllable way. Simulations were carried out for media with different degrees of anisotropy through varying the mean aspect ratio of grain particles. The simulation results were then analyzed using the Kozeny-Carman (KC) model. The KC model describes the permeability of the anisotropic media in a tensor form with the anisotropy represented by different tortuosities along the three principal directions. The tortuosity tensor was found to be a complex function of the particle morphology, which is yet to be fully determined. However, the results presented have established the starting point for further theoretical development to formulate such a function and to build closed-form analytical permeability models for anisotropic porous media based on first principles.

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Section: B Voronoi Construction Of Porous Mediamentioning

confidence: 99%

Numerical study on the permeability in a tensorial form for laminar flow in anisotropic porous media

Galindo‐Torres

Scheuermann

2012

Phys. Rev. E

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“…Figure 2(a) shows the probability distribution P (φ loc ) of the local packing fraction φ loc as a function of φ, where φ loc is obtained by Voronoi construction [22]. For φ φ c ≈ 0.3375, the system is essentially homogeneous and P (φ loc ) is unimodal.…”

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confidence: 99%

Cooperative motion of active Brownian spheres in three-dimensional dense suspensions

Wysocki¹,

Winkler²,

Gompper³

2014

EPL

259

311

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-The structural and dynamical properties of suspensions of self-propelled Brownian particles of spherical shape are investigated in three spatial dimensions. Our simulations reveal a phase separation into a dilute and a dense phase, above a certain density and strength of selfpropulsion. The packing fraction of the dense phase approaches random close packing at high activity, yet the system remains fluid. Although no alignment mechanism exists in this model, we find long-lived cooperative motion of the particles in the dense regime. This behavior is probably due to an interface-induced sorting process. Spatial displacement correlation functions are nearly scale-free for systems with densities close to or above the glass transition density of passive systems.

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“…Voronoi polygon area calculation (Rycroft, 2009) as they multiplied the calculation effort even further. A next step will be to optimise the model for performance in the frequent state-updates.…”

Section: Numerical Concernsmentioning

confidence: 99%

Ecohydrological particle model based on representative domains

Jackisch¹,

Zehe²

2017

Preprint

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Abstract. Non-uniform infiltration and subsurface flow in structured soils is observed in most natural settings. It arises from imperfect lateral mixing of fast advective flow in structures and diffusive flow in the soil matrix and remains one of the most challenging topics with respect to match observation and modelling of water and solutes at the plot scale.This study extends the fundamental introduction of a space-domain random walk of water particles as alternative approach to the Richards equation for diffusive flow (Zehe and Jackisch, 2016) to a stochastic-physical model framework simulating 5 soil water flow in a representative, structured soil domain. The central objective of the proposed model is the simulation of non-uniform flow fingerprints in different ecohydrological settings and antecedent states by making maximum use of field observables for parameterisation. Avoiding non-observable parameters for macropore-matrix exchange, an energy-balance approach to govern film flow in representative flow paths is employed. We present the echoRD model (ecohydrological particle model based on representative domains) and a series of application test cases. 10The model proves as a powerful alternative to existing dual-domain models, driven on experimental data and with selfcontrolled, dynamic macropore-matrix exchange from the topologically semi-explicitly defined structures.

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VORO++: A three-dimensional Voronoi cell library in C++

Cited by 973 publications

References 1 publication

Numerical study on the permeability in a tensorial form for laminar flow in anisotropic porous media

Numerical study on the permeability in a tensorial form for laminar flow in anisotropic porous media

Cooperative motion of active Brownian spheres in three-dimensional dense suspensions

Ecohydrological particle model based on representative domains

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