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Some data of the drift current, Ud, measured on a wavy surface of water in a laboratory and the field, are briefly described. Empirical formulas for Ud are given, and their incompleteness is noted, regarding to absence of the drift current…

Atmospheric and Oceanic Physics · Physics 2019-06-26 Vladislav G. Polnikov

We consider a control system describing the interaction of water waves with a partially immersed rigid body constraint to move only in the vertical direction. The fluid is modeled by the shallow water equations. The control signal is a…

Analysis of PDEs · Mathematics 2021-08-12 Pei Su , Marius Tucsnak

The two dimensional incompressible viscous flow past a flapping foil immersed in a uniform stream is studied numerically. Numerical simulations were performed using a Lattice-Boltzmann model for moderate Reynolds numbers. The computation of…

Fluid Dynamics · Physics 2016-08-15 Francisco Mandujano , Carlos Málaga

The standing surface waves in a rectangular vertically oscillating vessel filled with water (Faraday waves) in the presence of a floating elastic sheet are studied experimentally and theoretically. The threshold amplitude of the instability…

Fluid Dynamics · Physics 2023-07-11 Vahideh Sardari , Leila Bahmani , Maniya Maleki

In the limit of small values of the aspect ratio parameter (or wave steepness) which measures the amplitude of a surface wave in units of its wave-length, a model equation is derived from the Euler system in infinite depth (deep water)…

Pattern Formation and Solitons · Physics 2009-11-11 A. Kraenkel , J. Leon , M. A. Manna

We study the propagation of monochromatic surface waves on a turbulent flow. The flow is generated in a layer of liquid metal by an electromagnetic forcing. This forcing creates a quasi two-dimensional (2D) turbulence with strong vertical…

Fluid Dynamics · Physics 2015-11-19 Pablo Gutiérrez , Sébastien Aumaitre

A novel fast-running model is developed to predict the three-dimensional (3D) distribution of turbulent kinetic energy (TKE) in axisymmetric wake flows. This is achieved by mathematically solving the partial differential equation of the TKE…

Fluid Dynamics · Physics 2024-11-27 Majid Bastankhah , Jenna K. Zunder , Peter Hydon , Charles Deebank , Marco Placidi

The two-dimensional nonlinear problem of steady flow past a body submerged beneath an elastic sheet is considered. The mathematical model is based on the velocity potential theory with fully nonlinear boundary conditions on the fluid…

Fluid Dynamics · Physics 2021-06-16 Y. A. Semenov

Flexible structures in an incoming perpendicular flow typically undergo elastic reconfiguration that reduces drag; however, at higher velocities, they are prone to dynamical instabilities that entail complex wake dynamics and fluctuating…

It is shown that spatially periodic one-dimensional surface waves in shallow water behave almost linearly, provided large part of the energy is contained in sufficiently high frequencies. The amplitude is not required to be small (apart…

Fluid Dynamics · Physics 2010-02-22 M. B. Erdogan , N. Tzirakis , V. Zharnitsky

An analytical wind turbine wake model is proposed to predict the wind velocity distribution for all distances downwind of a wind turbine, including the near-wake. This wake model augments the Jensen model and subsequent derivations thereof,…

Fluid Dynamics · Physics 2017-02-02 Aidan Keane , Pablo E. Olmos Aguirre , Hannah Ferchland , Peter Clive , Daniel Gallacher

Equations relating the pressure at a horizontal seabed, the free-surface profile and the surface-pressure are derived for two-dimensional irrotational steady water waves with arbitrary pressure at the free surface. Special cases include…

Fluid Dynamics · Physics 2023-11-01 Didier Clamond , Joris Labarbe

A flexible foil undergoing pitching oscillations is studied experimentally in a wind tunnel with different imposed free stream velocities. The chord-based Reynolds number is in the range 1600--4000, such that the dynamics of the system is…

Fluid Dynamics · Physics 2022-06-08 Juan D'Adamo , Manuel Collaud , Roberto Sosa , Ramiro Godoy-Diana

This paper explores the similarity of the streamwise velocity fluctuations in a channel. In the analysis, we employ a one-dimensional scalar variant of the proper orthogonal decomposition (POD). This approach naturally motivates the…

Fluid Dynamics · Physics 2024-01-01 Christoffer Hansen , Jens N. Sørensen , Xiang I. A. Yang , Mahdi Abkar

We prove a Weyl-type fractal upper bound for the spectrum of the damped wave equation, on a negatively curved compact manifold. It is known that most of the eigenvalues have an imaginary part close to the average of the damping function. We…

Differential Geometry · Mathematics 2009-04-15 Nalini Anantharaman

The wetting of a charged wedge-like wall by an electrolyte solution is investigated by means of classical density functional theory. As in other studies on wedge wetting, this geometry is considered as the most simple deviation from a…

Soft Condensed Matter · Physics 2018-05-25 Maximilian Mußotter , Markus Bier

An asymmetric body with a sharp leading edge and a rounded trailing edge produces a smaller wave disturbance moving forwards than backwards, and this is reflected in the wave drag coefficient. This experimental fact is not captured by…

Fluid Dynamics · Physics 2019-10-02 GP Benham , JP Boucher , R Labbe , M Benzaquen , C Clanet

Wind farms, particularly offshore clusters, are becoming larger than ever before. Besides influencing wind farms and local meteorology downstream, large wind farms can trigger atmospheric gravity waves in the inversion layer and the free…

Atmospheric and Oceanic Physics · Physics 2024-03-29 Mehtab Ahmed Khan , Dries Allaerts , Simon Watson , Matthew Churchfield

Wave shape (e.g. wave skewness and asymmetry) impacts sediment transport, remote sensing and ship safety. Previous work showed that wind affects wave shape in intermediate and deep water. Here, we investigate the effect of wind on wave…

Fluid Dynamics · Physics 2021-07-01 Thomas Zdyrski , Falk Feddersen

This study examines whether the dispersion of passive particles at the free surface of a generic (nonturbulent) shallow flow can reliably represent the behavior of depth-keeping particles below the surface. A shallow configuration…

Fluid Dynamics · Physics 2026-02-12 Lenin M. Flores Ramírez , Matias Duran-Matute , Herman J. H. Clercx