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The evolution of surface gravity waves is driven by nonlinear interactions that trigger an energy cascade similarly to the one observed in hydrodynamic turbulence. This process, known as wave turbulence, has been found to display anomalous…

We study coherent wave scattering through waveguides with a step-like surface disorder and find distinct enhancements in the reflection coefficients at well-defined resonance values. Based on detailed numerical and analytical calculations,…

Disordered Systems and Neural Networks · Physics 2014-05-13 J. Doppler , J. A. Méndez-Bermúdez , J. Feist , O. Dietz , D. O. Krimer , N. M. Makarov , F. M. Izrailev , S. Rotter

We explore hydrodynamic interactions between microswimmers and corrugated, or rough, surfaces, as found often in biological systems and microfluidic devices. Using the Lorentz reciprocal theorem for viscous flows we derive exact expressions…

Soft Condensed Matter · Physics 2022-08-10 Christina Kurzthaler , Howard A. Stone

Many engineering and environmental surfaces exhibit spatial heterogeneity in the spanwise direction and encompass multiple surface length scales. When the dominant spanwise length scale is on the order of the largest flow scales (e.g., the…

Fluid Dynamics · Physics 2025-05-27 Mattias Nilsson-Takeuchi , Bharathram Ganapathisubramani

The Stokes wave problem in a constant vorticity flow is formulated via a conformal mapping as a modified Babenko equation. The associated linearized operator is self-adjoint, whereby efficiently solved by the Newton-conjugate gradient…

Fluid Dynamics · Physics 2019-04-12 Sergey A. Dyachenko , Vera Mikyoung Hur

Recent developments in dynamical systems theory have revealed long-lived and coherent Lagrangian (i.e., material) eddies in incompressible, satellite-derived surface ocean velocity fields. Paradoxically, observed drifting buoys and floating…

Atmospheric and Oceanic Physics · Physics 2015-09-02 F. J. Beron-Vera , M. J. Olascoaga , G. Haller , M. Farazmand , J. Trinanes , Y. Wang

Ocean surface gravity waves play an important role for the air-sea momentum fluxes and the upper ocean mixing, and knowledge of the sea state leads in general circulation models to improved estimates of the ocean energy budget and allows to…

Atmospheric and Oceanic Physics · Physics 2023-11-23 Lars Czeschel , Carsten Eden

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

The modulational instability of nonlinearly interacting spatially incoherent Stokes waves is analyzed. Starting from a pair of nonlinear Schroedinger equations, we derive a coupled set of wave-kinetic equations by using the Wigner transform…

Chaotic Dynamics · Physics 2007-05-23 P. K. Shukla , M. Marklund , L. Stenflo

Refraction is the predominant mechanism causing spatially inhomogeneous surface gravity wave fields. However, the complex interplay between depth- and current-induced wave refraction remains poorly understood. Assuming weak currents and…

Atmospheric and Oceanic Physics · Physics 2025-09-17 Trygve Halsne , Yan Li

This study investigates short-crested wave breaking over a planar beach by using the mesh-free Smoothed Particle Hydrodynamics model, GPUSPH. The short-crested waves are created by generating intersecting wave trains in a numerical wave…

Atmospheric and Oceanic Physics · Physics 2017-05-25 Zhangping Wei , Robert A. Dalrymple

A new highly efficient method is developed for computation of traveling periodic waves (Stokes waves) on the free surface of deep water. A convergence of numerical approximation is determined by the complex singularites above the free…

Fluid Dynamics · Physics 2019-04-02 Pavel M. Lushnikov , Sergey A. Dyachenko , Denis A. Silantyev

We predict theoretically that surface of an optical lattice imprinted in defocusing nonlinear media can support shock, or kink waves. Such new surface waves contain a modulationally stable pedestal and are strongly localized at the edge of…

Optics · Physics 2009-11-13 Yaroslav V. Kartashov , Victor A. Vysloukh , Lluis Torner

We study transmission in a system consisting of a curved graphene surface as an arc (ripple) of circle connected to two flat graphene sheets on the left and right sides. We introduce a mass term in the curved part and study the effect of a…

Mesoscale and Nanoscale Physics · Physics 2022-08-12 Jaouad El-hassouny , Ahmed Jellal , El Houssine Atmania

Internal waves propagate on the ocean's stratification, carrying energy and redistributing momentum through the ocean. When internal waves break, they contribute to diapycnal mixing in the ocean interior, but this breaking behaviour depends…

Atmospheric and Oceanic Physics · Physics 2025-07-31 Ashley J. Barnes , Callum J. Shakespeare , Andy McC. Hogg , Navid C. Constantinou

We study the stability of Stokes waves on a free surface of an ideal fluid of infinite depth. For small steepness the modulational instability dominates the dynamics, but its growth rate is vastly surpassed for steeper waves by an…

An experimental study of long interfacial gravity waves was conducted in a closed wave tank containing two layers of viscous immiscible fluids. The study focuses on the development in time of the mean particle drift that occurs close to the…

The alignment of a pair of spherical particles perpendicular to a horizontally oscillating flow is attributed to a non-zero residual flow, known as steady streaming. This phenomenon is the basis of complex patterns in denser systems, such…

Fluid Dynamics · Physics 2024-06-19 T. J. J. M. van Overveld , W. -P. Breugem , H. J. H. Clercx , M. Duran-Matute

Wall-resolved large-eddy simulations are performed to study the impact of spanwise traveling transversal surface waves in zero-pressure gradient turbulent boundary layer flow. Eighty variations of wavelength, period, and amplitude of the…

Modeling ocean surface waves under complex ocean current conditions is of crucial importance to many naval applications. For example, traveling ships and underwater vehicles generate spatially heterogeneous currents behind them through…

Fluid Dynamics · Physics 2022-02-15 Tianyi Li , Anqing Xuan , Lian Shen