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The periodic, inverse scattering transform (PIST) is a powerful analytical tool in the theory of integrable, nonlinear evolution equations. Osborne pioneered the use of the PIST in the analysis of data form inherently nonlinear physical…

Fluid Dynamics · Physics 2009-09-22 Ivan Christov

Through basin-scale circulations, the ocean regulates global distributions of heat, nutrients, and greenhouse gases. To properly predict the future of the ocean under climate change, we need to develop a thorough understanding of the…

Fluid Dynamics · Physics 2024-08-13 Zachary Taebel , Alberto Scotti , Pierre-Yves Passaggia , Dylan Bruney

This investigation is concerned with the 2D acoustic scattering problem of a plane wave propagating in a non-lossy fluid host and soliciting a linear, isotropic, macroscopically-homogeneous, lossy, flat-plane layer in which the mass density…

Applied Physics · Physics 2019-05-01 Armand Wirgin

Reconstructions of sea level prior to the satellite altimeter era are usually derived from tide gauge records; however most algorithms for this assume that modes of sea level variability are stationary which is not true over several…

Data Structures and Algorithms · Computer Science 2020-09-04 Alina Nitzke , Benjamin Niedermann , Luciana Fenoglio-Marc , Jürgen Kusche , Jan-Henrik Haunert

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

Surface wave tomography uses measured dispersion properties of surface waves to infer the spatial distribution of subsurface properties such as shear-wave velocities. These properties can be estimated vertically below any geographical…

Geophysics · Physics 2020-08-26 Stephanie Earp , Andrew Curtis , Xin Zhang , Fredrik Hansteen

Thermal atmospheric tides can torque telluric planets away from spin-orbit synchronous rotation, as observed in the case of Venus. They thus participate to determine the possible climates and general circulations of the atmospheres of these…

Earth and Planetary Astrophysics · Physics 2018-02-07 Pierre Auclair-Desrotour , Stéphane Mathis , Jacques Laskar

A numerical scheme that uses multi-frequency Newton iterations to reconstruct a rough surface profile between two dielectric media is proposed. At each frequency sample, the scheme employs Newton iterations to solve the nonlinear inverse…

Numerical Analysis · Mathematics 2024-08-29 Ahmet Sefer , Ali Yapar , Hakan Bagci

A new ocean wave/sea-ice interaction model is proposed that simulates how a directional wave spectrum evolves as it travels through an arbitrary finite array of circular ice floes, where wave/ice dynamics are entirely governed by wave…

Atmospheric and Oceanic Physics · Physics 2015-06-19 Fabien Montiel , Vernon Squire , Luke Bennetts

We present a multiscale approach for identifying features in ocean beds by solving inverse problems in high frequency seafloor acoustics. The setting is based on Sound Navigation And Ranging (SONAR) imaging used in scientific, commercial,…

Numerical Analysis · Mathematics 2017-04-05 Bjorn Engquist , Christina Frederick , Quyen Huynh , Haomin Zhou

Direct numerical simulations are conducted to study the receptivity and transition mechanisms in a solitary wave boundary layer developing over randomly organized wave-like bottom topography. The boundary layer flow shows a selective…

Fluid Dynamics · Physics 2021-02-24 Asim Önder , Philip L. -F. Liu

We study how stably stratified or semi-convective layers alter tidal dissipation rates associated with the generation of inertial, gravito-inertial, interfacial and surface gravity waves in rotating giant planets. We explore scenarios in…

Earth and Planetary Astrophysics · Physics 2023-11-07 Christina M. Pontin , Adrian J. Barker , Rainer Hollerbach

There are two distinct regimes commonly used to model traveling waves in stratified water: continuous stratification, where the density is smooth throughout the fluid, and layer-wise continuous stratification, where the fluid consists of…

Analysis of PDEs · Mathematics 2016-01-27 Robin Ming Chen , Samuel Walsh

Accurate mapping of ocean bathymetry is a multi-faceted process, needed for safe and efficient navigation on shipping routes and for predicting tsunami waves. Currently available bathymetry data does not always provide the resolution to…

Fluid Dynamics · Physics 2020-03-12 N. K. -R. Kevlahan , R. A. Khan

Numerical and observational evidence indicates that, in regions where mixed-layer instability is active, the surface geostrophic velocity is largely induced by surface buoyancy anomalies. Yet, in these regions, the observed surface kinetic…

Atmospheric and Oceanic Physics · Physics 2022-08-01 Houssam Yassin , Stephen M. Griffies

We develop a new methodology for the deterministic forecasting of directional ocean surface waves, based on nonlinear frequency corrections. These frequency corrections can be pre-computed based on measured energy density spectra, and…

Atmospheric and Oceanic Physics · Physics 2023-06-26 Eytan Meisner , Mariano Galvagno , David Andrade , Dan Liberzon , Raphael Stuhlmeier

The tilted-wave interferometer is a promising technique for the development of a reference measurement system for the highly accurate form measurement of aspheres and freeform surfaces. The technique combines interferometric measurements,…

Stokes inversion codes are crucial in returning properties of the solar atmosphere, such as temperature and magnetic field strength. However, the success of such algorithms to return reliable values can be hindered by the presence of…

Solar and Stellar Astrophysics · Physics 2021-01-20 P. H. Keys , O. Steiner , G. Vigeesh

The stratified inclined duct (SID) sustains an exchange flow in a long, gently sloping duct as a model for continuously-forced density-stratified flows such as those found in estuaries. Experiments have shown that the emergence of…

Accurate reconstruction of ocean is essential for reflecting global climate dynamics and supporting marine meteorological research. Conventional methods face challenges due to sparse data, algorithmic complexity, and high computational…

Computer Vision and Pattern Recognition · Computer Science 2025-06-13 Yuanyi Song , Pumeng Lyu , Ben Fei , Fenghua Ling , Wanli Ouyang , Lei Bai