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This paper deals with bathymetry-oriented optimization in the case of long waves with small amplitude. Under these two assumptions, the free-surface incompressible Navier-Stokes system can be written as a wave equation where the bathymetry…

Optimization and Control · Mathematics 2020-03-23 Pierre-Henri Cocquet , Sebastián Riffo , Julien Salomon

In this paper we derive and prove the wellposedness of a deep water model that generalizes the Saut-Xu system for nonflat bottoms. Then, we present a new numerical method based on a splitting approach for studying this system. The advantage…

Analysis of PDEs · Mathematics 2017-02-17 Afaf Bouharguane , Benjamin Melinand

The rotating shallow water model is a simplification of oceanic and atmospheric general circulation models that are used in many applications such as surge prediction, tsunami tracking and ocean modelling. In this paper we introduce a class…

Analysis of PDEs · Mathematics 2023-03-22 Oana Lang , Dan Crisan , Etienne Mémin

Accurate prediction of shallow water flows relies on precise bottom topography data, yet direct bathymetric surveys are expensive and time-consuming. In contrast, remote sensing platforms such as radar or satellite altimetry provide…

Numerical Analysis · Mathematics 2026-03-13 Falko Ruppenthal , Dmitri Kuzmin

Accurate 3D reconstruction in visually-degraded underwater environments remains a formidable challenge. Single-modality approaches are insufficient: vision-based methods fail due to poor visibility and geometric constraints, while sonar is…

Robotics · Computer Science 2026-05-19 Lingpeng Chen , Jiakun Tang , Apple Pui-Yi Chui , Ziyang Hong , Junfeng Wu

Transmit beamforming for underwater acoustic communication is challenging because it requires perfect knowledge of the channel to the receiver in advance. In practice, channel estimates must be learned through feedback and are often noisy…

Signal Processing · Electrical Eng. & Systems 2026-05-15 Diego A. Cuji , Andrew C. Singer , Milica Stojanovic

The determination of accurate bathymetric information is a key element for near offshore activities, hydrological studies such as coastal engineering applications, sedimentary processes, hydrographic surveying as well as archaeological…

Computer Vision and Pattern Recognition · Computer Science 2020-02-19 Panagiotis Agrafiotis , Dimitrios Skarlatos , Andreas Georgopoulos , Konstantinos Karantzalos

We present the geospatial methods in conjunction with results of a newly developed storm surge and sub-grid inundation model which was applied in New York City during Hurricane Sandy in 2012. Sub-grid modeling takes a novel approach for…

Geophysics · Physics 2014-12-03 Jon Derek Loftis , Harry V. Wang , Stuart E. Hamilton , David R. Forrest

Analysing two-dimensional shallow water equations with idealised bottom topographies have many applications in the atmospheric and oceanic sciences; however, restrictive flow pattern assumptions have been made to achieve explicit solutions.…

Fluid Dynamics · Physics 2023-05-01 Chang Liu , Antwan D. Clark

Critical maritime infrastructure increasingly demands situational awareness both above and below the surface, yet existing ''seabed-to-sky'' mapping pipelines either rely on GNSS (vulnerable to shadowing/spoofing) or expensive bathymetric…

Shallow water equations are extensively considered in the domains of oceans, atmospheric modelling, and engineering research (Franca et al., 2022), which play significant roles in floods and tsunami governance. Nonetheless, the accurate…

Fluid Dynamics · Physics 2023-09-22 Ruijia Yu

This paper is devoted to the asymptotic analysis of strongly rotating and stratified fluids, under a $\beta$-plane approximation, and within a three-dimensional spatial domain with strong topography. Our purpose is to propose a linear…

Analysis of PDEs · Mathematics 2026-01-06 Anne-Laure Dalibard , Corentin Gentil

Many water-quality monitoring programs aim to measure turbidity to help guide effective management of waterways and catchments, yet distributing turbidity sensors throughout networks is typically cost prohibitive. To this end, we built and…

Machine Learning · Statistics 2022-10-13 Bhargav Rele , Caleb Hogan , Sevvandi Kandanaarachchi , Catherine Leigh

This paper contains the latest installment of the authors' project on developing ensemble based data assimilation methodology for high dimensional fluid dynamics models. The algorithm presented here is a particle filter that combines model…

Numerical Analysis · Mathematics 2020-04-22 Colin Cotter , Dan Crisan , Darryl Holm , Wei Pan , Igor Shevchenko

Hydrophobic solutes significantly alters water hydrogen bond network. The local alteration of solvation struc-tures get reflected in the vibrational spectroscopic signal. Although it is possible to detect this microscopicfeatures by modern…

Chemical Physics · Physics 2020-06-16 Kambham Devendra Reddy , Rajib Biswas

Despite substantial technological advancements, the comprehensive mapping of surface water, particularly smaller bodies (<1ha), continues to be a challenge due to a lack of robust, scalable methods. Standard methods require either training…

Computer Vision and Pattern Recognition · Computer Science 2023-08-17 Hunsoo Song , Jinha Jung

The Hamiltonian coupled-mode theory (HCMT), recently derived by Athanassoulis and Papoutsellis [1], provides an efficient new approach for solving fully nonlinear water-wave problems over arbitrary bathymetry. In HCMT, heavy use is made of…

Computational Physics · Physics 2018-02-23 Theodosios K. Papathanasiou , Christos E. Papoutsellis , Gerassimos A. Athanassoulis

Accurate and cost effective mapping of water bodies has an enormous significance for environmental understanding and navigation. However, the quantity and quality of information we acquire from such environmental features is limited by…

Systems and Control · Electrical Eng. & Systems 2022-07-19 Bibin Wilson , Anand Singh , Amit Sethi

Accurate, detailed, and high-frequent bathymetry is crucial for shallow seabed areas facing intense climatological and anthropogenic pressures. Current methods utilizing airborne or satellite optical imagery to derive bathymetry primarily…

Computer Vision and Pattern Recognition · Computer Science 2025-05-13 Panagiotis Agrafiotis , Begüm Demir

We extracted ~2.8M nearly cloud-free 144x144 km^2 cutout images from the 2012-2020 Level-2 VIIRS Sea Surface Temperature (SST) dataset to quantitatively compare with MIT ocean general circulation model outputs, specifically the one year…

Atmospheric and Oceanic Physics · Physics 2023-03-27 Katharina Gallmeier , J. Xavier Prochaska , Peter C. Cornillon , Dimitris Menemenlis , Madolyn Kelm