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Diffuse-interface theory provides a foundation for the modeling and simulation of microstructure evolution in a very wide range of materials, and for the tracking/capturing of dynamic interfaces between different materials on larger scales.…

Computational Physics · Physics 2018-08-03 Zhijie Xu , Paul Meakin , Alexandre Tartakovsky

Consider briefly the equations of fluid dynamics-they describe the enormous wealth of detail in all the interacting physical elements of a fluid flow-whereas in applications we want to deal with a description of just that which is…

chao-dyn · Physics 2016-08-31 A. J. Roberts

The mathematical formulation, basic concept and numerical implementation of a new meshless method for solving three dimensional fluid flow and related heat transfer problems are presented in this paper. Moving least squares approximation is…

Computational Physics · Physics 2018-09-10 Cheng-An Wang , Hamou Sadat , Christian Prax

In this paper, a novel immersed boundary method is developed, validated, and applied. Through devising a second-order three-step flow reconstruction scheme, the proposed method is able to enforce the Dirichlet, Neumann, Robin, and Cauchy…

Fluid Dynamics · Physics 2018-09-10 Huangrui Mo , Fue-Sang Lien , Fan Zhang , Duane S. Cronin

Fluid flow through intricate confining geometries often exhibits complex behaviors, certainly in porous materials, e.g. in groundwater flows or the operation of filtration devices and porous catalysts. However, it has remained extremely…

We consider the problem of finding optimal shapes of fluid domains. The fluid obeys the Navier--Stokes equations. Inside a holdall container we use a phase field approach using diffuse interfaces to describe the domain of free flow. We…

Optimization and Control · Mathematics 2014-05-15 Harald Garcke , Claudia Hecht , Michael Hinze , Christian Kahle

We present here numerical modelling of granular flows with the $\mu(I)$ rheology in confined channels. The contribution is twofold: (i) a model to approximate the Navier-Stokes equations with the $\mu(I)$ rheology through an asymptotic…

Soft Condensed Matter · Physics 2018-01-17 E. D. Fernández-Nieto , J. Garres-Díaz , A. Mangeney , G. Narbona-Reina

Models for fluid deformable surfaces provide valid theories to describe the dynamics of thin fluidic sheets of soft materials. To use such models in morphogenesis and development requires to incorporate active forces. We consider active…

Mathematical Physics · Physics 2024-08-20 Maik Porrmann , Axel Voigt

We study the arrest of three-dimensional flow in wet granular matter subject to a sinusoidal external force and a gravitational field confining the flow in the vertical direction. The minimal strength of the external force that is required…

Soft Condensed Matter · Physics 2014-08-26 Klaus Roeller , Johannes Blaschke , Stephan Herminghaus , Jürgen Vollmer

An iterative Finite Element method predicated on a linearisation of the weak form around a reference configuration is derived for general, three-dimensional, free-surface flows, including systems with moving contact lines. The method is a…

Fluid Dynamics · Physics 2025-08-28 Tyler Benkley , Simone Deparis , Paolo Ricci , Andreas Mortensen

We study 3D chaotic dynamics through an analysis of transport in a granular flow in a half-full spherical tumbler rotated sequentially about two orthogonal axes (a bi-axial "blinking" tumbler). The flow is essentially quasi-2D in any…

Dynamical Systems · Mathematics 2014-07-02 Ivan C. Christov , Richard M. Lueptow , Julio M. Ottino , Rob Sturman

Viscous streaming refers to the rectified, steady flows that emerge when a liquid oscillates around an immersed microfeature, typically a solid body or a bubble. The ability of such features to locally concentrate stresses produces strong…

For a fissured medium with uncertainty in the knowledge of fractures' geometry, a conservative tangential flow field is constructed, which is consistent with the physics of stationary fluid flow in porous media and an interpolated geometry…

Numerical Analysis · Mathematics 2020-08-21 Fernando A Morales , Jorge M Ramírez

Fluidisation is the process by which the weight of a bed of particles is supported by a gas flow passing through it from below. When fluidised materials flow down an incline, the dynamics of the motion differ from their non-fluidised…

Fluid Dynamics · Physics 2017-10-11 D. E. Jessop , A. J. Hogg , M. A. Gilbertson , C. Schoof

We propose a continuous optimization method for solving dense 3D scene flow problems from stereo imagery. As in recent work, we represent the dynamic 3D scene as a collection of rigidly moving planar segments. The scene flow problem then…

Computer Vision and Pattern Recognition · Computer Science 2016-07-28 Zhaoyang Lv , Chris Beall , Pablo F. Alcantarilla , Fuxin Li , Zsolt Kira , Frank Dellaert

In this work, an efficient physics-constrained deep learning model is developed for solving multiphase flow in 3D heterogeneous porous media. The model fully leverages the spatial topology predictive capability of convolutional neural…

Geophysics · Physics 2021-05-21 Bicheng Yan , Dylan Robert Harp , Bailian Chen , Rajesh Pawar

In this study,we investigate the characteristics of three-dimensional turbulent boundary layers influenced by transverse flow and pressure gradients. Our findings reveal that even without assuming an infinite sweep, a fully developed…

Fluid Dynamics · Physics 2024-07-23 Youcheng Xi , Bowen Yan , Guangwen Yang , Song Fu

Scene flow estimation is the task of describing 3D motion between temporally successive observations. This thesis aims to build the foundation for building scene flow estimators with two important properties: they are scalable, i.e. they…

Computer Vision and Pattern Recognition · Computer Science 2025-03-21 Kyle Vedder

Analysing two-dimensional shallow water equations with idealised bottom topographies have many applications in the atmospheric and oceanic sciences; however, restrictive flow pattern assumptions have been made to achieve explicit solutions.…

Fluid Dynamics · Physics 2023-05-01 Chang Liu , Antwan D. Clark

A simple geometrical model is presented for the gravity-driven motion of a single particle on a rough inclined surface. Adopting a simple restitution law for the collisions between the particle and the surface, we arrive at a model in which…

Soft Condensed Matter · Physics 2009-10-31 Giovani L. Vasconcelos , J. J. P. Veerman
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