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#### Dimensional Vortex - Chronopedia - Chrono Trigger, Chrono ...

The Dimensional Vortex is an exclusive to Chrono Trigger DS as well as the mobile and Steam versions. It is unlocked after beating the game and starting up your save file. After beating all three Dimensional Vortex quests, the End of Time will have a new connection called Time's Eclipse, where the Dream Devourer quest can be accessed.

#### Electric field control of three-dimensional vortex states ...

Both ferromagnetic and ferroelectric vortex states are attractive candidates for advanced three-dimensional (3D) architecture of RAM units with high storage density, low-power, and high operation speed. But in the case of ferromagnets, potential applications of vortex states are typically discussed for thin-film elements rather than spherical nanoparticles. A further difference is the characteristic length scale given by the width of uncharged Ising-Bloch domain walls in inorganic ...

#### (PDF) Perfect vortex in three-dimensional multifocal array

We proposed an approach for creating three-dimensional (3D) multifocal perfect vortices arrays by using a high numerical aperture objective. The position, orbital angular momentum states, number...

#### Three-dimensional simulation of vortex shedding flow in ...

Three-dimensional vortex shedding flow occurs at Re=500 for an isolated cylinder with zero yaw angle. Secondly, the effect of the yaw angle on the vortex shedding suppression is one of the aims of this study, which is stronger at this relative low Reynolds number than at higher Reynolds numbers. Finally, a relatively low Reynolds number allows the direct numerical simulations (DNS) to be conducted at an affordable computational time.

#### Three-dimensional vortex structures under breaking waves ...

The large-scale vortex structures under spilling and plunging breakers are investigated, using a fully three-dimensional large-eddy simulation (LES). When an overturning jet projecting from the crest in a breaking wave rebounds from the water surface ahead, the vorticity becomes unstable in a saddle region of strain between the rebounding jet and a primary spanwise vortex, resulting in spanwise undulations of the vorticity. The undulations are amplified on a braid in this saddle region ...

#### Three-dimensional quasi-geostrophic vortex equilibria with ...

We investigate arrays of $m$ three-dimensional, unit-Burger-number, quasi-geostrophic vortices in mutual equilibrium whose centroids lie on a horizontal circular ring; or $m+1$ vortices where the additional vortex lies on the vertical ‘central’ axis passing through the centre of the array. We first analyse the linear stability of circular point vortex arrays. Three distinct categories of vortex arrays are considered. In the first category, the

#### Computing Three-Dimensional Incompressible Flows with ...

Computing Three-Dimensional Incompressible Flows with Vortex Elements. Annual Review of Fluid Mechanics Vol. 17:523-559 ... Annual Review of Fluid Mechanics The Structure and Dynamics of Vortex Filaments S E Widnall Annual Review of Fluid Mechanics Dynamics and Instabilities of Vortex Pairs Thomas Leweke, Stéphane Le Dizès, and Charles H.K. Williamson ...

#### Collective modes in three-dimensional magnonic vortex crystals

Three different types of arrangements have been investigated. They are shown in Fig. 1(a). The arrangements consist of stacks with two (type 1) and three (type 2) disks, as well as 3 × 3 × 3 vortex crystals (type 3). The disks have a diameter of and a thickness of 40 nm for type 1 and 30 nm for type 2 and 3.

#### Three-dimensional numerical simulation of a vortex ring ...

A vortex ring impinging on a three-dimensional circular cylinder is studied using large eddy simulation for a Reynolds number Re4 10=×4 based on the initial translational speed and diameter of the vortex ring. We have investigated the evolution of vortical structures and identiﬁed three typical evolution phases. When the primary vortex approaches the cylinder closely, a

#### Instructions for use - HUSCAP

mechanism to form three-dimensional wakes involving vortex loops has also been found. Andreassen et al. (1998) and Fritts et al. (1998) visualize simulated coherent vortex structures in a breaking internal wave, on the basis of the deﬁnition of a vortex core developed by Jeong & Hussain (1995). This is a good way to identify coherent vortices less dependent on the magnitude of the vorticity ...

#### Three Dimensional Vortex Shedding from Circular Cylinders

Three Dimensional Vortex Shedding from Circular Cylinders Surya Pratap Vanka Professor, Department of Mechanical and Industrial Engineering 140 M. E. Building 1206 W. Green Street University of Illinois at Urbana Champaign Urbana, IL 61801 phone: (217) 244-8388 fax: (217) 244-6534 e-mail: s-vanka@uiuc.edu Award #: N00014-96-1-0697 Aniruddha Mukhopadhyay and Prem Venugopal Department of ...

#### Two- and Three-Dimensional Simulations of Vortex-Induced ...

Two- and Three-Dimensional Simulations of Vortex-Induced Vibration of a Circular Cylinder H.M. Blackburn Department of Mechanical Engineering, Monash University, Melbourne, Australia G.E. Karniadakis Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, New Jersey, USA Abstract Numerical simulations of the interaction between a circular cylinder and its wake ...

#### Assessment of viscous energy loss and the association with ...

Purpose: To evaluate viscous energy loss and the association with three-dimensional (3D) vortex ring formation in left ventricular (LV) blood flow during diastolic filling.

#### A three dimensional vortex wake model for missiles at high ...

A three dimensional vortex wake model for missiles at high angles on attack (English Edition) eBook: National Aeronautics and Space Administration NASA: Amazon.de: Kindle-Shop

#### [2009.04226] Experimental Observation of Vortex Rings in a ...

While vortex rings have also been predicted to exist in ferromagnets [5], they have not yet been observed. Using X-ray magnetic nanotomography [6], we imaged three-dimensional structures forming closed loops in a bulk micromagnet, each composed of a vortex-antivortex pair. Based on the magnetic vorticity, a quantity analogous to hydrodynamic vorticity, we identify these configurations as ...

#### Collective modes in three-dimensional magnonic vortex ...

Collective modes in three-dimensional crystals of stacked permalloy disks with magnetic vortices are investigated by ferromagnetic resonance spectroscopy and scanning transmission X-ray microscopy.

#### Three-Dimensional Alignment and Corotation of Weak, TC ...

Numerical vortex simulations based on the linear equivalent barotropic QG system, and validated with a nonlinear three-dimensional QG model, show a dependence on the internal Rossby deformation radius consistent with previous studies. The physical explanation for the tilted vortex evolution, however, departs from these studies.

#### Three-dimensional vortex breakdown in swirling jets and ...

Three-dimensional vortex breakdown in swirling jets and wakes 333 in any sense a direct consequence of instability. This view is supported by the experimental fact that under carefully controlled conditions a purely axisymmetric form of breakdown occurs both in tube-and-vane and closed container experiments. Since it is generally agreed that vortex ﬂows are much more stable to axisymmetric ...

#### Locomotor forces on a swimming fish: three-dimensional ...

Velocity fields quantified in three perpendicular planes in the wake of the fins allowed three-dimensional reconstruction of downstream vortex structures. At low swimming speed (0.5 L s(−)(1)), vorticity is shed by each fin during the downstroke and stroke reversal to generate discrete, roughly symmetrical, vortex rings of near-uniform circulation with a central jet of high-velocity flow. At ...

#### Three-Dimensional Vortex Method for Gas-Particle Two-Phase ...

This paper proposes a three-dimensional vortex method for a gas-particle two-phase compound round jet. The method can take account of the interaction between the two phases by calculating the motion of particles and the behavior of gas vortex elements through the Lagrangian approach. In order to discuss the validity of the method, an air jet, loaded with small glass particles, issuing from a ...

#### Characterizing three-dimensional features of vortex ...

As an example, the VSF evolution characterizes the three-dimensional features of vortex surfaces in the flow past a finite plate at the Reynolds number of 300, aspect ratio of 2, and angle of attack of 30°. The VSF isosurface displays that near-plate vortex surfaces first roll up from plate edges and then evolve into hairpinlike structures near the leading edge and semiring structures near ...

#### Three-Dimensional Vortex Dynamics Simulations | SpringerLink

Couët, B. and Leonard, A. 1981 Mixing layer simulation by an improved three-dimensional vortex-in-cell algorithm. In: Seventh International Conference on Numerical Methods in Fluid Dynamics, Lecture Notes in Physics 141, Springer-Verlag. Google Scholar. Couët, B., Buneman, O., and Leonard, A. 1981 Simulation of three-dimensional incompressible flows with a vortex-in-cell method. J. Comput ...

#### Three-dimensional hybrid vortex solitons

Three-dimensional hybrid vortex solitons Rodislav Driben1, Yaroslav V Kartashov2,3, Boris A Malomed4, Torsten Meier1 and Lluis Torner2 1Department of Physics & CeOPP, University of Paderborn, Warburger Str. 100, D-33098 Paderborn, Germany 2ICFO-Institut de Ciencies Fotoniques, and Universitat Politecnica de Catalunya, Mediterranean Technology Park, E-08860 Castelldefels (Barcelona), Spain

#### Three-Dimensional Vortex Structure in a Leading-Edge ...

This paper describes the results of a flow visualization study which concerns three-dimensional vortex structures in a leading-edge separation bubble formed along the sides of a blunt flat plate. Dye and hydrogen bubbles were used as tracers. Reynolds number (Re), based on the plate thickness, was varied from 80 to 800. For 80 < Re < 320, the separated shear layer remains laminar up to the ...

#### Vortex Dynamics – CSE-Lab

Using massively-parallel direct numerical simulation methods we clarify the three-dimensional vortex dynamics during the nonlinear stage and determine the structure of the wake in the turbulent stage. The availability of the full three-dimensional vorticity ﬁeld enables us to elucidate the origin and topology of the secondary vortex structures during the nonlinear stage of vortex ring decay ...

#### Three-Dimensional Vortex-Induced Reaction Hot Spots at ...

We show the emergence of reaction hot spots induced by three-dimensional (3D) vortices with a simple A+B→C reaction. We conduct microfluidics experiments to visualize the spatial map of the reaction rate with a chemiluminescence reaction and cross validate the results with direct numerical simulations. 3D vortices form at spiral-saddle-type stagnation points, and the 3D vortex flow topology ...

#### Collective modes in three-dimensional magnonic vortex crystals

Here, we study three-dimensional magnonic vortex crystals by means of ferromagnetic resonance spectros-copy and scanning transmission X-ray microscopy. We investigate the gyrotropic motions of three different arrangements of vortex stacks in dependence on the polarizations and circularities of the individual vortices. The polarization pattern is controlled by self-organized state formation 24 ...

#### Three-dimensional space - Wikipedia

Three-dimensional space (also: 3-space or, rarely, tri-dimensional space) is a geometric setting in which three values (called parameters) are required to determine the position of an element (i.e., point). This is the informal meaning of the term dimension.

#### Vorticity - Wikipedia

In a three-dimensional flow, vorticity (as measured by the volume integral of the square of its magnitude) can be intensified when a vortex line is extended — a phenomenon known as vortex stretching. This phenomenon occurs in the formation of a bathtub vortex in outflowing water, and the build-up of a tornado by rising air currents.

#### Three Dimensional Vortex Approximation Construction and ε ...

Three Dimensional Vortex Approximation Construction and Estimates 1535 (5) and for any γ ∈ (0,1]there exists a constant Cγ depending only on γ and ∂ , such that μ(uε, Aε)−νε C0,γ T ∗ Cγ Fε(uε, Aε)+1 |logε|qγ. (1.2) Notation and deﬁnitions of the objects and spaces involved in this result can be found in the preliminaries (see Section 2). Remark 1.1. Alternatively ...

#### An improved panel method for the solution of three ...

An improved panel method for the solution of three-dimensional leading-edge vortex flows. Volume 1: Theory document (English Edition) eBook: National Aeronautics and Space Administration NASA: Amazon.de: Kindle-Shop

#### Vortex Methods. I: Convergence in Three Dimensions

three-dimensional vortex methods and then proving that these methods are stable and convergent, and can even have arbitrarily high order accuracy without being more expensive than other "crude" versions of the vortex algorithm. 1. Introduction. Vortex methods have provided an attractive and successful approach for the numerical simulation of incompressible fluid flow at high Reynolds number in ...

#### Three-dimensional vortex development breakdown, and ...

Three-dimensional longitudinal vortices are considered in the context of the leading-edge vortex flow generated on the lee-side of a highly swept wing with sharp leading edges. Experiments were conducted in a low speed water flow such that the wing chord Reynolds number was between 10,000 and 62,000. The development of the leading-edge vortex flow is described in terms of the evolution of the ...

#### Lagrangian and Eulerian analysis of transport and mixing ...

In this paper, we extend the notion of Eulerian indicators (EIs), previously developed for two dimensional time dependent flows, to three dimensional time dependent flows, where the time dependence can be arbitrary. These are applied to a study of transport and mixing in the Hill’s spherical vortex subject to a linear strain rate field. We consider the axisymmetric case and the fully three ...

#### Three-dimensional vortex methods (Technical Report) | OSTI.GOV

OSTI.GOV Technical Report: Three-dimensional vortex methods. Three-dimensional vortex methods. Full Record; Other Related Research

#### Three-dimensional vortex structures in a rotating dipolar ...

We study three-dimensional vortex lattice structures in purely dipolar Bose-Einstein condensate (BEC). By using the mean-field approximation, we obtain a stability diagram for the vortex states in purely dipolar BECs as a function of harmonic trap aspect ratio (λ) and dipole-dipole interaction strength (D) under rotation. Rotating the condensate within the unstable region leads to collapse ...

#### Characterizing three-dimensional features of vortex ...

As an example, the VSF evolution characterizes the three-dimensional features of vortex surfaces in the flow past a finite plate at the Reynolds number of 300, aspect ratio of 2, and angle of...

#### Three Dimensional Numerical Simulation of Vortex ...

Three Dimensional Numerical Simulation of Vortex Structures in Barak River. Article Preview. Abstract: Natural channel have complex three dimensional flow structures particularly at the outer bank cell due to the combined effects of secondary currents and higher velocity profiles. In this paper Computational fluid dynamics is used to study the meandering bend of the Barak River. Numerical ...

#### VORTEX METHODS FOR SLIGHTLY VISCOUS THREE DIMENSIONAL FLOW

Though three dimensional vortex methods have been considered inherently diﬃcult, we represent a scheme that involves no elaborate computations and is a natural extension of the two dimensional schemes. We applied this method to a three dimensional ﬂow past a semi-inﬁnite plate at high Reynolds number. The velocity far away from the plate is assumed to be uniform. If one assumes that the ...

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#### Three-dimensional vortex configurations in a rotating Bose ...

OSTI.GOV Journal Article: Three-dimensional vortex configurations in a rotating Bose-Einstein condensate

#### Vortex-Line Percolation in the Three-Dimensional

Three-dimensional, globallyO(2)symmetric spin models and ﬁeld theories exhibit line-like topological excitations which form closed networks. An issue of central importance is the question whether the distribution of these vortex lines and their percolation properties do indeed encode the critical exponents of the thermodynamically deﬁned pha se transition. More speciﬁcally, the question ...

#### Three-dimensional quasi-geostrophic vortex equilibria with ...

Three-dimensional quasi-geostrophic vortex equilibria with m fold symmetry Jean N. Reinaudy Mathematical Institute, University of St Andrews, North Haugh, St Andrews, KY16 9SS, UK (Received xx; revised xx; accepted xx) We investigate arrays of mthree-dimensional, unit Burger number, quasi-geostrophic vortices in mutual equilibrium whose centroids lie on a horizontal circular ring; or m+1 ...

#### Three-dimensional stability of vortex arrays - CORE Reader

Three-dimensional stability of vortex arrays - CORE Reader

#### Singularity formation in three-dimensional vortex sheets

dimensional vortex sheet problem can be reduced exactly to a two-dimensional vortex sheet problem. In this article, we study singularity formation in three-dimensional vortex sheets with more general initial data us-ing a new approach. We do not consider the surface tension effect in this study. The key in our analysis is to identify the

#### "A Three Dimensional Vortex Particle-Panel Code For ...

A Three Dimensional Vortex Particle-Panel Code For Modeling Propeller-Airframe Interaction Author Jacob S. Calabretta , California Polytechnic State University, San Luis Obispo Follow

#### Insights into the three-dimensional Lagrangian geometry of ...

Insights into the three-dimensional Lagrangian geometry of the Antarctic polar vortex Jezabel Curbelo1,2, Víctor José García-Garrido1, Carlos Roberto Mechoso3, Ana Maria Mancho1, Stephen Wiggins4, and Coumba Niang1,5 1Instituto de Ciencias Matemáticas, CSIC-UAM-UC3M-UCM. C/ Nicolás Cabrera 15, Campus de Cantoblanco UAM, 28049 Madrid, Spain 2Departamento de Matemáticas, Facultad de ...