A simple collision algorithm for arbitrarily shaped objects in particle‐resolved flow simulation using an immersed boundary method

Nagata, Takayuki; Hosaka, Mamoru; Takahashi, Shun; Shimizu, Ken D.; Fukuda, Kota; Obayashi, Shigeru

doi:10.1002/fld.4826

Cited by 8 publications

(1 citation statement)

References 51 publications

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“…See the figure, panel d for an example. Alternatively, one can impose boundary conditions on ghost cells that are inside the solid domain with neighbours in the fluid domain; the ghost cells can be flagged by techniques such as level-set methods 207 (see the figure, panel e). This approach can capture gradient discontinuity but does not satisfy local mass conservation or even momentum conservation.…”

Section: Discrete Forcing Immersed Boundary Methodsmentioning

confidence: 99%

The role of particle shape in computational modelling of granular matter

Zhao,

Luding

2023

Nat Rev Phys

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Granular matter is ubiquitous in nature and is present in diverse forms in important engineering, industrial and natural processes. Particle-based computational modelling has become indispensable to understand and predict the complex behaviour of granular matter in these processes. The success of modern computational models requires realistic and efficient consideration of particle shape. Realistic particle shapes in naturally occurring and engineered materials offer diverse challenges owing to their multiscale nature in both length and time. Furthermore, the complex interactions with other materials, such as interstitial fluids, are highly nonlinear and commonly involve multiphysics coupling. This Technical Review presents a comprehensive appraisal of state-of-the-art computational models for granular particles of either naturally occurring shapes or engineered geometries. It focuses on particle shape characterization, representation and implementation, as well as its important effects. In addition, the particles may be hard, highly deformable, crushable or phase transformable; they might change their behaviour in the presence of interstitial fluids and are sensitive to density, confining stress and flow state. We describe generic methodologies that capture the universal features of granular matter and some unique approaches developed for special but important applications. Sections• Consideration of shape effects in coupled simulations of granular particles and environmental fluids requires revamped theories and methods to faithfully reflect their underpinning multiphase, multiphysics nature.• Incorporating realistic particle shapes in granular matter modelling must harness the latest advances in parallel computing and machine learning for effective large-scale computations.Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

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Section: Discrete Forcing Immersed Boundary Methodsmentioning

confidence: 99%

The role of particle shape in computational modelling of granular matter

Zhao,

Luding

2023

Nat Rev Phys

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A novel particle–particle and particle–wall collision model for superellipsoidal particles

et al. 2023

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In the framework of computational studies of particulate multiphase flow systems, either dilute or dense, particle–particle as well as particle–wall collisions need to be considered, which in the case of nonspherical particle shapes still presents a computational challenge. In this study, we present an efficient numerical implementation of a novel superellipsoidal particle collision model that can be used in general fluid flows. The superellipsoid shape formulation can be viewed as an extension of spherical or ellipsoidal shapes and can be used to represent spherical, ellipsoidal, cylindrical, diamond-like and cubic particles by varying solely five shape parameters. In this context, we present a fast, stable Newton–Raphson-based method for modeling frictional collisions of nonspherical superellipsoidal particles, and demonstrate the performance of our algorithms.

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