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The paper's main goal is to compare the motion of solitary surface waves resulting from two similar but slightly different approaches. In the first approach, the numerical evolution of soliton surface waves moving over the uneven bottom is…

Pattern Formation and Solitons · Physics 2021-01-19 Anna Karczewska , Piotr Rozmej

We review here the derivation of many of the most important models that appear in the literature (mainly in coastal oceanography) for the description of waves in shallow water. We show that these models can be obtained using various…

Analysis of PDEs · Mathematics 2020-04-22 David Lannes

Linear water wave theory suggests that wave patterns caused by a steadily moving disturbance are contained within a wedge whose half-angle depends on the depth-based Froude number $F_H$. For the problem of flow past an axisymmetric pressure…

Fluid Dynamics · Physics 2015-06-16 Ravindra Pethiyagoda , Scott W. McCue , Timothy J. Moroney

This paper develops a reduced-order framework for modelling the two-way coupling between gravity waves and turbulent wakes in large-scale wind farms. Linearising the non-hydrostatic Boussinesq equations and introducing simplifications…

Fluid Dynamics · Physics 2026-05-29 Hossein A. Kafiabad , Majid Bastankhah

The behaviour of internal waves propagating in a background shear flow is studied in the case where the direction of shear is orthogonal to gravity. Ray-tracing theory is used to predict properties of the wave state at locations where…

Fluid Dynamics · Physics 2026-03-03 Samuel F. Lewin , Alexis K. Kaminski , Arun Balakrishna , Miles M. P. Couchman

Many wind wave spectrum models provide excellent wave height prediction given the input of wind speed and wave age. Their quantification of the surface roughness, on the other hand, varies considerably. The ocean surface roughness is…

Geophysics · Physics 2022-09-14 Paul A. Hwang

In the current work we investigate the propagation of electromagnetic waves in the field of gravitational waves. Starting with simple case of an electromagnetic wave travelling in the field of a plane monochromatic gravitational wave we…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. G. Polnarev , D. Baskaran

Theoretical results on water waves almost always start by assuming irrotationality of the flow in order to simplify the formulation. In this work, we investigate the well-foundedness of this hypothesis via numerical simulations of the…

Fluid Dynamics · Physics 2025-11-21 Alan Riquier , Emmanuel Dormy

Submerged flapping foils can convert wave energy directly into thrust, which could be potentially utilised for green marine propulsion. This study analyses the wave-induced flapping hydrofoil propulsion using an in-house developed, new…

Fluid Dynamics · Physics 2022-09-14 Jingru Xing , Dimitris Stagonas , Phil Hart , Chengchun Zhang , Jianhui Yang , Liang Yang

Planetary migration is a key link between planet formation models and observed exoplanet statistics. So far the theory of migration has focused on the interaction of planets with an inviscid or viscously evolving disk. Turbulent viscosity…

Earth and Planetary Astrophysics · Physics 2019-12-25 C. N. Kimmig , C. P. Dullemond , W. Kley

Gyres are central features of large-scale ocean circulation and are involved in transporting tracers such as heat, nutrients, and carbon-dioxide within and across ocean basins. Traditionally, the gyre circulation is thought to be driven by…

Atmospheric and Oceanic Physics · Physics 2023-11-02 Dhruv Bhagtani , Andrew McColl Hogg , Ryan Mahony Holmes , Navid C. Constantinou

Using the Bondi-Sachs formalism, the problem of a gravitational wave source surrounded by a spherical dust shell is considered. Using linearized perturbation theory, the geometry is found in the regions: in the shell, exterior to the shell,…

General Relativity and Quantum Cosmology · Physics 2020-09-29 Nigel T. Bishop , Petrus J. van der Walt , Monos Naidoo

Waves in thin fluid layers are important in various stellar and planetary problems. Due to rapid rotation such systems will become oblate, with a latitudinal variation in the gravitational acceleration across the surface of the object. In…

High Energy Astrophysical Phenomena · Physics 2020-06-24 Bart F. A. van Baal , Frank R. N. Chambers , Anna L. Watts

We analyze the linear stability of monoclinal traveling waves on a constant incline, which connect uniform flowing regions of differing depths. The classical shallow-water equations are employed, subject to a general resistive drag term.…

Fluid Dynamics · Physics 2022-05-18 Jake Langham , Andrew J. Hogg

Large Eddy Simulations (LES) are used to study the effects of veer (the height-dependent lateral deflection of wind velocity due to Coriolis acceleration) on the evolution of wind turbine wakes. Specifically, this work focuses on turbines…

Fluid Dynamics · Physics 2024-12-06 Ghanesh Narasimhan , Dennice F. Gayme , Charles Meneveau

We claim that changes of scales and fine-structure could increase from multisoliton behavior of internal waves dynamics and, further, in the so-called "wave mixing". We consider initial-boundary problems for Euler equations with a…

Mathematical Physics · Physics 2007-05-23 A. Halim , S. Kshevetskii , S. Leble

The evolution of random wave fields on the free surface is a complex process which is not completely understood nowadays. For the sake of simplicity in this study we will restrict our attention to the 2D physical problems only (i.e. 1D wave…

Classical Physics · Physics 2020-02-20 Denys Dutykh

Wave phenomena in vibrofluidized dry and partially wet granular materials confined in a quasi-two-dimensional geometry are investigated with numerical simulations considering individual particles as hard spheres. Short ranged cohesive…

Soft Condensed Matter · Physics 2018-06-06 Kai Huang

In this paper we develop an existence theory for small amplitude, steady, two-dimensional water waves in the presence of wind in the air above. The presence of the wind is modeled by a Kelvin--Helmholtz type discontinuity across the…

Analysis of PDEs · Mathematics 2012-11-15 Samuel Walsh , Oliver Bühler , Jalal Shatah

Both remote-sensing measurements using the interplanetary scintillation (IPS) technique and in situ measurements by the Ulysses spacecraft show a bimodal structure for the solar wind at solar minimum conditions. At present what makes the…

Solar and Stellar Astrophysics · Physics 2015-05-27 Bo Li , Li-Dong Xia , Yao Chen