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We utilize a three-dimensional manifold to solve Riemann Problems that arise from a system of two conservation laws with quadratic flux functions. Points in this manifold represent potential shock waves, hence its name wave manifold. This…

In the study of ocean wave impact on structures, one often uses Froude scaling since the dominant force is gravity. However the presence of trapped or entrained air in the water can significantly modify wave impacts. When air is entrained…

Classical Physics · Physics 2020-02-20 Frédéric Dias , Denys Dutykh , Jean-Michel Ghidaglia

Floating offshore wind turbines (FOWTs) are subjected to platform motion induced by wind and wave loads. The oscillatory movement trigger vortex instabilities, modifying the wake structure, influencing the flow reaching downstream wind…

This paper proposes a novel real-time algorithm for controlling wave energy converters (WECs). We begin with the economic model predictive control (MPC) problem formulation and apply a novel, first-order optimization algorithm inspired by…

Systems and Control · Electrical Eng. & Systems 2025-09-09 Simone Pirrera , Nicolas Faedo , Sophie M. Fosson , Diego Regruto

Finite-volume numerical method for study shallow water flows over an arbitrary bed profile in the presence of external force is proposed. This method uses the quasi-two-layer model of hydrodynamic flows over a stepwise boundary with…

Fluid Dynamics · Physics 2011-08-22 K. V. Karelsky , A. S. Petrosyan , A. G. Slavin

This work is devoted to the analysis and resolution of a well-posed mathematical model for several processes involved in the artificial circulation of water in a large waterbody. This novel formulation couples the convective heat transfer…

Analysis of PDEs · Mathematics 2020-02-20 Francisco J. Fernández , Lino J. Alvarez-Vázquez , Aurea Martínez

A 2D numerical hydrodynamics approach is considered for modelling recent experimental results on the oscillation and collective behavior of convective flows. Our simulations consider the rising dynamics of heated fluid columns in a…

Fluid Dynamics · Physics 2022-07-07 Attila Gergely , Zoltán Néda

This study investigates the effect of vibration on the flow structure transitions in thermal vibrational convection (TVC) systems, which occur when a fluid layer with a temperature gradient is excited by vibration. Direct numerical…

Fluid Dynamics · Physics 2023-03-30 Xili Guo , Jianzhao Wu , Bofu Wang , Quan Zhou , Kai Leong Chong

We investigate the energy transfer dynamics in a donor-acceptor model by developing a time-local master equation technique based on a variational transformation of the underlying Hamiltonian. The variational transformation allows a…

Quantum Physics · Physics 2011-09-19 Dara P. S. McCutcheon , Ahsan Nazir

Upcoming large-scale-structure surveys can shed new light on the properties of dark energy. In particular, if dark energy is a dynamical component, it must have spatial perturbations. Their behaviour is regulated by the speed of sound…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-10 Linda Blot , Pier Stefano Corasaniti , Fabian Schmidt

We find three types of steady solutions and remarkable flow pattern transitions between them in a two-dimensional wavy-walled channel for low to moderate Reynolds (Re) and Weissenberg (Wi) numbers using direct numerical simulations with…

Pattern Formation and Solitons · Physics 2010-09-21 Hiroki Yatou

The venerable 2D point-vortex model plays an important role as a simplified version of many disparate physical systems, including superfluids, Bose-Einstein condensates, certain plasma configurations, and inviscid turbulence. This system is…

Chaotic Dynamics · Physics 2013-05-29 Spencer A. Smith , Bruce M. Boghosian

An idealized storm scenario is examined in which a wind-generated inertial wave interacts with a turbulent baroclinic quasi-geostrophic flow. The flow is initialized by spinning up a Eady model with a realistic stratification profile. The…

Atmospheric and Oceanic Physics · Physics 2020-07-15 Olivier Asselin , William R. Young

Rotating turbulence is an example of a three-dimensional system in which an inverse cascade of energy, from the small to the large scales, can be formed. While usually understood as a byproduct of the typical bidimensionalization of…

Fluid Dynamics · Physics 2018-11-09 M. Buzzicotti , P. Clark Di Leoni , L. Biferale

Some dynamical properties present in a problem concerning the acceleration of particles in a wave packet are studied. The dynamics of the model is described in terms of a two-dimensional area preserving map. We show that the phase space is…

Chaotic Dynamics · Physics 2011-09-14 Diego F. M. Oliveira , Marko Robnik , Edson D. Leonel

We consider the energy density and energy transfer in small amplitude, one-dimensional waves on a string, and find that the common expressions used in textbooks for the introductory physics with calculus course give wrong results for some…

Classical Physics · Physics 2015-05-19 Lior M. Burko

We study the dynamics of the statistics of the energy transferred across a point along a quantum chain which is prepared in the inhomogeneous initial state obtained by joining two identical semi-infinite parts thermalized at two different…

Statistical Mechanics · Physics 2020-10-28 Gabriele Perfetto , Andrea Gambassi

In the present paper a simple dynamical model for computing the osmotically driven fluid flow in a variety of complex, non equilibrium situations is derived from first principles. Using the Oberbeck-Boussinesq approximation, the basic…

Fluid Dynamics · Physics 2014-06-06 Stephan I. Tzenov

We present experimental results on hydrothermal waves in long and narrow 1D channels. In a bounded channel, we describe the primary and secondary instabilities leading to waves and modulated waves in terms of convective/absolute…

Pattern Formation and Solitons · Physics 2009-11-07 Nicolas Garnier , Arnaud Chiffaudel , Francois Daviaud

A series of laboratory experiments has been carried out in a thermally driven rotating annulus to study the onset of baroclinic instability, using horizontal and uniformly sloping bottom topographies. Different wave flow regimes have been…

Fluid Dynamics · Physics 2015-06-17 Miklos Vincze , Uwe Harlander , Thomas von Larcher , Christoph Egbers
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