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In the classical theory of fluid mechanics a linear relationship between the shear stress and the symmetric velocity gradient tensor is often assumed. Even when a nonlinear relationship is assumed, it is typically formulated in terms of an…

Numerical Analysis · Mathematics 2019-12-20 Patrick E. Farrell , Pablo Alexei Gazca-Orozco , Endre Süli

Despite there being an infinite variety of types of flow, most rheological studies focus on a single type such as simple shear. Using discrete element simulations, we explore bulk granular systems in a wide range of flow types at large…

Soft Condensed Matter · Physics 2022-01-04 Joel T. Clemmer , Ishan Srivastava , Gary S. Grest , Jeremy B. Lechman

We present an analytical class of equilibrium solutions for the structure of relativistic sheared and rotating magnetized jets that contain no boundary current sheets. We demonstrate the overall dynamical stability of these solutions and,…

High Energy Astrophysical Phenomena · Physics 2015-05-30 K. N. Gourgouliatos , Ch. Fendt , E. Clausen-Brown , M. Lyutikov

Turbulent lean premixed hydrogen jet flames are simulated using direct numerical simulation employing detailed chemistry in both slot and round configurations at various pressures. All cases are simulated at a constant jet Reynolds number…

Fluid Dynamics · Physics 2026-03-17 T. L. Howarth , T. Lehmann , M. Gauding , H. Pitsch

Jet fragmentation is investigated through a Direct Numerical Simulation campaign using Basilisk (Popinet & collaborators 2013). The simulations span over one order of magnitude of gaseous Weber numbers (13 to 165), i.e. over the second…

Fluid Dynamics · Physics 2023-07-25 Romain Vallon , Malek Abid , Fabien Anselmet

The behavior of an ultrasonic shot peening process is observed and analyzed by using a model of inelastic hard spheres in a gravitational field that are fluidized by a vibrating bottom wall (sonotrode) in a cylindrical chamber. A marked…

Soft Condensed Matter · Physics 2007-05-23 M. Micoulaut , S. Mechkov , D. Retraint , P. Viot , M. Francois

The fact that physical conservation laws can be derived from symmetry properties of space and time, as shown by Emily N\"other, has been utilized in predicting the development of the round turbulent jet from the jet exit to the far field.…

Fluid Dynamics · Physics 2025-09-11 Preben Buchhave , Mengjia Ren , Clara Marika Velte

The collision of a spherical grain with a granular bed is commonly parametrized by the splash function, which provides the velocity of the rebounding grain and the velocity distribution and number of ejected grains. Starting from elementary…

Soft Condensed Matter · Physics 2017-05-30 Marc Lämmel , Kamil Dzikowski , Luc Oger , Alexandre Valance , Klaus Kroy

Macroscopic and microscopic properties of dense granular layers flowing down inclined planes are obtained from Discrete-Element-Method simulations for both frictionless and frictional grains. Three fundamental observations for dense…

Disordered Systems and Neural Networks · Physics 2022-10-06 Denis Dumont , Haggai Bonneau , Thomas Salez , Elie Raphael , Pascal Damman

The influence of controlled vibrations on the granular rheology is investigated in a specifically designed experiment. We study experimentally a thin granular film spreading under the action of horizontal vibrations. A nonlinear diffusion…

Soft Condensed Matter · Physics 2009-11-13 Ivan Sanchez , Franck Raynaud , Jose Lanuza , Bruno Andreotti , Eric Clement , Igor S. Aranson

We examine the hydrodynamics of a granular gas using numerical simulation. We demonstrate the appearance of shearing and clustering instabilities predicted by linear stability analysis, and show that their appearance is directly related to…

Soft Condensed Matter · Physics 2007-05-23 Scott A. Hill , Gene F. Mazenko

We model the acceleration of energetic particles due to shear and centrifugal effects in rotating astrophysical jets. The appropriate equation describing the diffusive transport of energetic particles in a collisionless, rotating background…

Astrophysics · Physics 2009-11-07 F. M. Rieger , K. Mannheim

We used computer simulations to study spontaneous strain localization in granular materials, as a result of symmetry breaking non-homogeneous deformations. Axisymmetric triaxial shear tests were simulated by means of standard…

Soft Condensed Matter · Physics 2007-05-23 S. Fazekas , J. Török , J. Kertész , D. E. Wolf

The paper deals with the studies of forced impacting oscillator when are taken into account the dry and viscous resistance, as well as the generalized Hertz contact law during an impact. The numerical treatments of mathematical model are…

Chaotic Dynamics · Physics 2019-05-01 Sergii Skurativskyi , Grzegorz Kudra , Grzegorz Wasilewski , Jan Awrejcewicz

The penetration by a gravity driven impact of a solid sphere into a granular medium is studied by two-dimensional simulations. The scaling laws observed experimentally for both the final penetration depth and the stopping time with the…

Soft Condensed Matter · Physics 2012-12-24 Antoine Seguin , Yann Bertho , Philippe Gondret , Jerome Crassous

We study the particle-scale dynamics that give rise to bulk flow behaviours of highly concentrated particle-fluid mixtures using discrete element method (DEM) simulations. We utilize boundary conditions of a stress-controlled shear cell and…

Soft Condensed Matter · Physics 2025-09-26 Teng Man , Herbert Huppert , Qingfeng Feng , Kimberly Hill

The critical rheology of sheared frictional granular materials near jamming transition is numer- ically investigated. It is confirmed that there exist a true critical density which characterizes the onset of the yield stress, and two…

Statistical Mechanics · Physics 2013-12-17 Michio Otsuki , Hisao Hayakawa

Using discrete element simulations based on molecular dynamics, we investigate the mechanical behavior of sheared, dry, frictional granular media in the "dense" and "critical" regimes. We find that this behavior is partitioned between…

Soft Condensed Matter · Physics 2025-02-25 Aurélien Rigotti , Véronique Dansereau , Jérôme Weiss

We perform molecular dynamics simulations of homogeneous athermal systems of poly-disperse soft discs under shear. For purely repulsive interactions between particles, and under a confining external pressure, a monotonous flow curve (strain…

Soft Condensed Matter · Physics 2023-10-10 E. A. Jagla

The present study report direct numerical simulation (DNS) of a circular jet and the effect of a large scale perturbation at the jet inlet. The perturbation is used to control the jet for increased spreading. Dual-mode perturbation is…

Fluid Dynamics · Physics 2010-10-18 Trushar B. Gohil , Arun K Saha , K. Muralidhar