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Based on the analysis of the velocity gradient tensor, we investigate in this paper the physical interpretation and limitations of four vortex criteria: $\omega$, $Q$, $\varDelta$ and $\lambda_{ci}$, and reveal the actual physical meaning…

流体动力学 · 物理学 2024-06-06 Zhen Li , Xiwen Zhang , Feng He

It has been broadly acknowledged that vortex detection algorithms, usually based on linear-algebraic properties of the velocity gradient tensor, can be plagued with severe shortcomings and may become, in practical terms, dependent on the…

流体动力学 · 物理学 2017-01-18 J. H. Elsas , L. Moriconi

Most of the currently popular Eulerian vortex identification criteria, including the Q criterion, the Delta criterion and the Lambda_ci criterion, are based on the analysis of the velocity gradient tensor. More specifically, these criteria…

流体动力学 · 物理学 2018-05-16 Yisheng Gao , Chaoqun Liu

Vortices are swirling regions of fluid that structure motion in gases and liquids across a wide range of scales, from laboratory-scale experiments to vast atmospheric currents. They play a key role in mixing, transport, and energy transfer,…

流体动力学 · 物理学 2026-02-18 Tiemo Pedergnana , Florian Kogelbauer

We simulate the head-on collision between vortex rings with circulation Reynolds numbers of 4000 using an adaptive, multiresolution solver based on the lattice Green's function. The simulation fidelity is established with integral metrics…

流体动力学 · 物理学 2024-03-07 Rahul Arun , Tim Colonius

Influenced by the fact that vorticity represents rotation for rigid body, people believe it also works for fluid flow. However, the theoretical predictions by vorticity do not match experiment results, which drove scientists to look for…

流体动力学 · 物理学 2020-08-18 Yifei Yu1 , Pushpa Shrestha , Oscar Alvarez , Charles Nottage , Chaoqun Liu

This study develops a comprehensive description of local streamline geometry and uses the resulting shape features to characterize velocity gradient ($A_{ij}$) dynamics. The local streamline geometric shape parameters and scale-factor…

流体动力学 · 物理学 2020-06-24 Rishita Das , Sharath S. Girimaji

Context. A universally accepted definition of what a vortex is has not yet been reached. Therefore, we lack an unambiguous and rigorous method for the identification of vortices in fluid flows. Such a method would be necessary to conduct…

太阳与恒星天体物理 · 物理学 2022-12-14 José Roberto Canivete Cuissa , Oskar Steiner

Feature identification is an important task in many fluid dynamics applications and diverse methods have been developed for this purpose. These methods are based on a physical understanding of the underlying behavior of the flow in the…

流体动力学 · 物理学 2019-01-07 Carlos Michelén Ströfer , Jinlong Wu , Heng Xiao , Eric Paterson

Generally, the vortex structures should be independent of the observers who are moving, especially when their coordinates are non-inertial, which may result in confusions in communications between researchers. The property that not being…

流体动力学 · 物理学 2022-06-28 Yifei Yu , Yiqian Wang , Chaoqun Liu

A relative Liutex vortex identification method is proposed in this study, together with its explicit mathematical formulation. The method is designed to identify vortical structures based solely on local flow-field information and is…

流体动力学 · 物理学 2026-01-01 Jiawei Chen , Yifei Yu , Chaoqun Liu

Compressing complex flows into a tangle of vortex filaments is the basic implication of the classical notion of the vortex representation. Various vortex identification criteria have been proposed to extract the vortex filaments from…

流体动力学 · 物理学 2020-05-27 Chengyue Wang , Qi Gao , Biao Wang

Traditional Cauchy-Stokes decomposition of velocity gradient tensor gives a symmetric and an anti-symmetric subtensors which are called the strain-rate and vorticity tensors. There are two problems with Cauchy-Stokes decomposition. The…

流体动力学 · 物理学 2021-06-22 Chaoqun Liu , Yifei Yu , Yisheng Gao

A vortex is intuitively recognized as the rotational/swirling motion of the fluids. However, an unambiguous and universally-accepted definition for vortex is yet to be achieved in the field of fluid mechanics, which is probably one of the…

流体动力学 · 物理学 2018-04-18 Chaoqun Liu , Yisheng Gao , Shuling Tian , Xiangrui Dong

We describe the structure and dynamics of turbulence by the scale-dependent perceived velocity gradient tensor as supported by following four tracers, i.e. fluid particles, that initially form a regular tetrahedron. We report results from…

流体动力学 · 物理学 2015-06-04 Alain Pumir , Eberhard Bodenschatz , Haitao Xu

Four classic criteria used to the classification of complex flows are discussed here. These criteria are useful to identify regions of the flow related to shear, elongation or rigid-body motion. These usual criteria, namely $Q$, $\Delta$,…

流体动力学 · 物理学 2016-02-17 Ramon S. Martins , Anselmo S. Pereira , Gilmar Mompean , Laurent Thais , Roney L. Thompson

As widely recognized, vortex represents flow rotation. Vortex should have a local rotation axis as its direction and angular speed as its strength. Vorticity vector has been considered the rotation axis, and vorticity magnitude the…

流体动力学 · 物理学 2021-03-16 Charles Nottage , Yifei Yu , Chaoqun Liu

Vortices are studied in various scientific disciplines, offering insights into fluid flow behavior. Visualizing the boundary of vortices is crucial for understanding flow phenomena and detecting flow irregularities. This paper addresses the…

流体动力学 · 物理学 2024-04-03 Akila de Silva , Nicholas Tee , Omkar Ghanekar , Fahim Hasan Khan , Gregory Dusek , James Davis , Alex Pang

We present the results of molecular dynamic simulations of a two-dimensional vortex array driven by a uniform current through random pinning centers at zero temperature. We identify two types of flow of the driven array near the depinning…

凝聚态物理 · 物理学 2009-10-28 M. C. Faleski , M. C. Marchetti , A. A. Middleton

Although traditional vortex identification methods such as Q, Delta, Lambda2, Lambdaci remain popular in the identification and visualization of vortices, these methods count on shearing and stretching as a part of vortex strength. However,…

流体动力学 · 物理学 2020-08-18 Pushpa Shrestha , Charles Nottage , Yifei Yu , Oscar Alvarez , Chaoqun Liu
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