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Topological edge states are robust against symmetry-preserving perturbations and noise, making them promising for quantum information and computation, particularly in topological quantum computation through braiding operations of Majorana…

Mesoscale and Nanoscale Physics · Physics 2025-05-23 Yuuki Kanda , Yusuke Fujisawa , Kousuke Yakubo , Norio Kawakami , Hideaki Obuse

It is well known that a boundary layer develops along an infinite plate under oscillatory motion in a Newtonian fluid. In this work, this oscillatory boundary layer theory is generalized to the case of linear viscoelastic(LVE) flow. We…

Fluid Dynamics · Physics 2019-12-13 Hualong Feng

We present an analytical model for the time-developing turbulent boundary layer (TD-TBL) over a flat plate. The model provides explicit formulae for the temporal behavior of the wall-shear stress and both the temporal and spatial…

Chaotic Dynamics · Physics 2009-11-13 Victor S. L'vov , Anna Pomyalov , Antonino Ferrante , Said Elghobashi

Robust states emerging at the boundary of a system constitute a hallmark for topological band structures. Other than in closed systems, topologically protected states can occur even in systems with a trivial band structure, if exposed to…

Quantum Physics · Physics 2023-10-16 Helene Wetter , Michael Fleischhauer , Stefan Linden , Julian Schmitt

We study the two-dimensional rotating shallow-water model describing Earth's oceanic layers. It is formally analogue to a Schr\"odinger equation where the tools from topological insulators are relevant. Once regularized at small scale by an…

Mathematical Physics · Physics 2021-09-01 Gian Michele Graf , Hansueli Jud , Clément Tauber

In a temporal network with discrete time-labels on its edges, entities and information can only ``flow'' along sequences of edges whose time-labels are non-decreasing (resp. increasing), i.e. along temporal (resp. strict temporal) paths.…

Data Structures and Algorithms · Computer Science 2025-01-29 George B. Mertzios , Hendrik Molter , Malte Renken , Paul G. Spirakis , Philipp Zschoche

Boundary layer turbulence, particularly the vertical fluxes of momentum, shapes the evolution of winds and currents and plays a critical role in weather, climate, and biogeochemical processes. In this work, a unified, data-driven…

Atmospheric and Oceanic Physics · Physics 2025-11-04 Renaud Falga , Sara Shamekh , Laure Zanna

Boundary layers in turbulent flows require fine grid spacings near the walls which depend on the choice of turbulence model. To satisfy these requirements a semi-structured mesh is generally used in this area with orthogonal and layered…

Fluid Dynamics · Physics 2014-05-06 Kedar C. Chitale , Michel Rasquin , Onkar Sahni , Mark S. Shephard , Kenneth E. Jansen

This study establishes a symmetry-based framework to quantify non-equilibrium processes in complex pressure gradient (PG) turbulent boundary layers (TBLs), using a Lie-group-informed dilation-symmetry-breaking formalism. We derive a…

Fluid Dynamics · Physics 2025-09-01 Wei-Tao Bi , Ke-Xin Zheng , Jun Chen , Zhen-Su She

Non-Hermiticity enriches the contents of topological classification of matter including exceptional points, bulk-edge correspondence and skin effect. Gain and loss can be described by imaginary diagonal elements in Hamiltonians and the…

Mesoscale and Nanoscale Physics · Physics 2020-07-15 X. L. Zhao , L. B. Chen , L. B. Fu , X. X. Yi

The dynamics of shock-induced unsteady separated flow past a three-dimensional square-faced protuberance is investigated through wind tunnel experiments. Time-resolved schlieren imaging and unsteady surface pressure measurements are the…

Fluid Dynamics · Physics 2023-01-24 Ramachandra K , Sourabh Bhardwaj , Jayaprakash N. Murugan , Sriram R

Recently, it has been argued by Kuklov et al., that unusual features associated with the superflow-through-solid effect observed in solid He4 can be explained by unique properties of dilute distribution of superfluid edge dislocations. We…

Other Condensed Matter · Physics 2023-11-27 Leo Radzihovsky , Anatoly Kuklov , Nikolay Prokof'ev , Boris Svistunov

A one-dimensional long-wave model of an unsteady three-layer flow of a stratified fluid under a lid is proposed, taking into account turbulent mixing in the intermediate layer. In the Boussinesq approximation, the equations of motion are…

Fluid Dynamics · Physics 2021-12-10 Alexander Chesnokov , Sergey Gavrilyuk , Valery Liapidevskii

The present numerical investigation uses well-resolved large-eddy simulations to study the low-frequency unsteady motions observed in shock-wave/turbulent-boundary-layer interactions. Details about the numerical aspects of the simulations…

Fluid Dynamics · Physics 2010-10-12 Emile Touber , Neil D. Sandham

Lagrangian statistics and particle transport in edge plasma turbulence are investigated using the Hasegawa-Wakatani model and its modified version. The latter shows the emergence of pronounced zonal flows. Different values of the…

Plasma Physics · Physics 2022-12-09 Benjamin Kadoch , Diego del-Castillo-Negrete , Wouter J. T. Bos , Kai Schneider

The low-frequency unsteady motions behind a backward-facing step (BFS) in a turbulent flow at $Ma=1.7$ and $Re_\infty=1.3718\times 10^5$ is investigated using a well-resolved large-eddy simulation (LES). The instantaneous flow field…

Fluid Dynamics · Physics 2021-04-21 Weibo Hu , Stefan Hickel , Bas W. van Oudheusden

In hypersonic boundary-layer flows over blunt bodies, laminar-turbulent transition exhibits two distinct regimes: for small nose radii, increased bluntness delays transition; beyond a critical radius, further increasing bluntness reverses…

Fluid Dynamics · Physics 2025-11-13 Qinyang Song , Ming Dong , Lei Zhao

The objective of this work is to investigate the unexplored laminar-to-turbulent transition of a heated flat-plate boundary layer with a fluid at supercritical pressure. Two temperature ranges are considered: a subcritical case, where the…

We hypothesize that dynamical systems concepts used to study the transition to turbulence in shear flows are applicable to other transition phenomena in fluid mechanics. In this paper, we consider a finite air bubble that propagates within…

Fluid Dynamics · Physics 2020-07-01 J. S. Keeler , A. B. Thompson , G. Lemoult , A. Juel , A. L. Hazel

Turbulence is a widely observed state of fluid flows, characterized by complex, nonlinear interactions between motions across a broad spectrum of length and time scales. While turbulence is ubiquitous, from teacups to planetary atmospheres,…

Fluid Dynamics · Physics 2025-01-28 Adrian van Kan