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We propose a novel differentiable vortex particle (DVP) method to infer and predict fluid dynamics from a single video. Lying at its core is a particle-based latent space to encapsulate the hidden, Lagrangian vortical evolution underpinning…

Machine Learning · Computer Science 2023-03-17 Yitong Deng , Hong-Xing Yu , Jiajun Wu , Bo Zhu

We generalize the mean field magnetic dynamo to include local evolution of the mean vorticity in addition to the mean magnetic field. The coupled equations exhibit a general mean field dynamo instability that enables the transfer of…

Astrophysics · Physics 2009-10-30 Eric G. Blackman , Tom Chou

We study large-scale kinematic dynamo action of steady mirror-antisymmetric flows of incompressible fluid, that involve small spatial scales only, by asymptotic methods of the multiscale stability theory. It turns out that, due to the…

Fluid Dynamics · Physics 2019-08-13 Alexander Andrievsky , Roman Chertovskih , Vladislav Zheligovsky

A series of numerical simulations of the dynamo process operating inside gas giant planets has been performed. We use an anelastic, fully nonlinear, three-dimensional, benchmarked MHD code to evolve the flow, entropy and magnetic field. Our…

Earth and Planetary Astrophysics · Physics 2018-01-11 Wieland Dietrich , Chris. A. Jones

The distribution of forces on the surface of complex, deforming geometries is an invaluable output of flow simulations. One particular example of such geometries involves self-propelled swimmers. Surface forces can provide significant…

Fluid Dynamics · Physics 2017-04-25 Siddhartha Verma , Gabriele Abbati , Guido Novati , Petros Koumoutsakos

We use a combination of numerical simulations and experiments to elucidate the structure of the flow of an electrically conducting fluid past a localized magnetic field, called magnetic obstacle. We demonstrate that the stationary flow…

Fluid Dynamics · Physics 2007-05-23 E. V. Votyakov , Yu. Kolesnikov , O. Andreev , E. Zienicke , A. Thess

The influence of the geometry of a thin superconducting sample on the penetration of the magnetic field lines and the arrangement of vortices are investigated theoretically. We compare superconducting disks, squares and triangles with the…

Superconductivity · Physics 2009-11-07 B. J. Baelus , F. M. Peeters

We present a microscopic derivation of the equation of motion for a vortex in a superconductor. A coherent view on vortex dynamics is obtained, in which {\it both} hydrodynamics {\it and} the vortex core contribute to the forces acting on a…

Vortices are among the simplest topological structures, and occur whenever a flow field `whirls' around a one-dimensional core. They are ubiquitous to many branches of physics, from fluid dynamics to superconductivity and superfluidity, and…

A concise review of observations of the $\alpha$ dynamo effect in laboratory plasmas is given. Unlike many astrophysical systems, the laboratory pinch plasmas are driven magnetically. When the system is overdriven, the resultant…

Astrophysics · Physics 2021-06-29 Hantao Ji , Stewart C. Prager

By extracting unstable invariant solutions directly from body-forced three-dimensional turbulence, we study the dynamical processes at play when the forcing is large scale and either unidirectional in the momentum or the vorticity…

Fluid Dynamics · Physics 2017-04-26 Dan Lucas , Rich Kerswell

Straining of magnetic fields by large-scale shear flow, generally assumed to lead to intensification and generation of small scales, is re-examined in light of the persistent observation of large-scale magnetic fields in astrophysics. It is…

Plasma Physics · Physics 2022-07-20 B. Tripathi , A. E. Fraser , P. W. Terry , E. G. Zweibel , M. J. Pueschel

We present a numerical study of the magnetic field generated by the Taylor-Green vortex. We show that periodic boundary conditions can be used to mimic realistic boundary conditions by prescribing the symmetries of the velocity and magnetic…

Chaotic Dynamics · Physics 2015-05-30 Giorgio Krstulovic , Gentien Thorner , Julien-Piera Vest , Stephan Fauve , Marc Brachet

We present results from consistent dynamo simulations, where the electrically conducting and incompressible flow inside a cylinder vessel is forced by moving impellers numerically implemented by a penalization method. The numerical scheme…

Fluid Dynamics · Physics 2021-12-13 Sophia Kreuzahler , Yannick Ponty , Nicolas Plihon , Holger Homann , Rainer Grauer

The non-modal self-heating mechanism driven by the velocity shear in kinematically complex magnetohydrodynamic (MHD) plasma flows is considered. The study is based on the full set of MHD equations including dissipative terms. The equations…

Solar and Stellar Astrophysics · Physics 2015-06-12 Zaza Osmanov , Andria Rogava , Stefaan Poedts

The hydrodynamic behavior of electron fluids in a certain range of temperatures and densities is well established in graphene and in 2D semiconductor heterostructures. The hydrodynamic regime is intrinsically based on electron-electron…

Mesoscale and Nanoscale Physics · Physics 2023-12-12 Jack N. Engdahl , Aydin Cem Keser , Oleg P. Sushkov

Studying and interpreting the different flow patterns present in urban areas is becoming essential since they help develop new approaches to fight climate change through an improved understanding of the dynamics of the pollutants in urban…

An improved understanding of how vortices develop and propagate under pulsatile flow can shed important light on the mixing and transport processes including the transition to turbulent regime occurring in such systems. For example, the…

Fluid Dynamics · Physics 2019-12-13 Nicasio Barrere , Javier Brum , Alexandre L'Her , Gustavo L. Sarasúa , Cecilia Cabeza

The evolution of large-scale magnetic fields in disk galaxies is investigated numerically. The gasdynamical simulations in a disk perturbed by spiral or bar potential are incorporated into the kinematic calculations of induction equations…

Astrophysics · Physics 2007-05-23 K. Otmianowska-Mazur , M. Chiba

Vortex blob methods are typically characterized by a regularization length scale, below which the dynamics are trivial for isolated blobs. In this article we observe that the dynamics need not be trivial if one is willing to consider…

Fluid Dynamics · Physics 2018-10-23 Darryl D. Holm , Henry O. Jacobs