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The computation of long wave propagation through the ocean obviously depends on the initial condition. When the waves are generated by a moving bottom, a traditional approach consists in translating the ``frozen'' sea bed deformation to the…

Fluid Dynamics · Physics 2020-02-20 Denys Dutykh , Frédéric Dias , Youen Kervella

Low-frequency simulations of a one-layer model with lateral buoyancy variations (i.e., thermodynamically active) have revealed circulatory motions resembling quite closely submesoscale observations in the surface ocean rather than…

Atmospheric and Oceanic Physics · Physics 2021-04-14 F. J. Beron-Vera

In this article we use analytical and numerical modeling to describe parallel viscous two-phase flows in microchannels. The focus is on idealized two-dimensional geometries, with a view to validating the various methodologies for future…

Fluid Dynamics · Physics 2019-11-28 Lennon Ó Náraigh , Daniel R. Jansen van Vuuren

This paper presents a novel methodology for the direct numerical modeling and simulation of turbulent flows. The kinetic model equation is firstly extended to turbulent flow with the account of coupled evolution of kinetic, thermal, and…

Computational Physics · Physics 2025-03-11 Xiaojian Yang , Kun Xu

The flow of thin liquid films on inclined or vertical surfaces is one of immense importance, with applications spanning many types of process industries, due to the increased mass and heat transfer brought about by the presence of waves on…

Soft Condensed Matter · Physics 2020-07-24 Idris Adebayo

This paper presents a survey of ocean simulation and rendering methods in computer graphics. To model and animate the ocean's surface, these methods mainly rely on two main approaches: on the one hand, those which approximate ocean dynamics…

The stability of a rotating flow in a triaxial ellipsoidal shell with an imposed temperature difference between inner and outer boundaries is studied numerically. We demonstrate that (i) a stable temperature field encourages the tidal…

Classical Physics · Physics 2010-10-01 David Cébron , Pierre Maubert , Michael Le Bars

Sea ripples are small-scale bedforms which originate from the interaction of an oscillatory flow with an erodible sand bed. The phenomenon of sea ripple formation is investigated by means of direct numerical simulation in which the sediment…

Fluid Dynamics · Physics 2019-02-20 Marco Mazzuoli , Aman G. Kidanemariam , Markus Uhlmann

The full non-linear evolution of the tidal instability is studied numerically in an ellipsoidal fluid domain relevant for planetary cores applications. Our numerical model, based on a finite element method, is first validated by reproducing…

Classical Physics · Physics 2010-10-01 David Cébron , Michael Le Bars , Justin Leontini , Pierre Maubert , Patrice Le Gal

Surface and interfacial weakly-nonlinear ring waves in a two-layer fluid are modelled numerically, within the framework of the recently derived 2+1-dimensional cKdV-type equation. In a case study, we consider concentric waves from a…

Pattern Formation and Solitons · Physics 2016-08-24 K. R. Khusnutdinova , X. Zhang

The impact of a turbulent flow on wind-driven oceanic near-inertial waves is examined using a linearised shallow-water model of the mixed layer. Modelling the flow as a homogeneous and stationary random process with spatial scales…

Atmospheric and Oceanic Physics · Physics 2016-07-20 Eric Danioux , Jacques Vanneste

A simple variant of recycling and rescaling method to generate inflow turbulence using unstructured grid CFD codes is presented. The method has been validated on large eddy simulation of spatially developing flat plate turbulent boundary…

Fluid Dynamics · Physics 2014-08-22 Sunil K. Arolla

Wave breaking is a critical process in the upper ocean: an energy sink for the surface wave field and a source for turbulence in the ocean surface boundary layer. We apply a novel multi-layer numerical solver resolving upper-ocean dynamics…

Fluid Dynamics · Physics 2025-10-13 Jiarong Wu , Stéphane Popinet , Bertrand Chapron , J. Thomas Farrar , Luc Deike

Boundary layer turbulence in coastal regions differs from that in deep ocean because of bottom interactions. In this paper, we focus on the merging of surface and bottom boundary layers in a finite-depth coastal ocean by numerically solving…

Atmospheric and Oceanic Physics · Physics 2022-04-13 Chao Yan , James C. McWilliams , Marcelo Chamecki

Strongly nonlinear models of internal wave propagation for incompressible stratified Euler fluids are investigated numerically and analytically to determine the evolution of a class of initial conditions of interest in laboratory…

Fluid Dynamics · Physics 2017-03-28 Shengqian Chen

Turbulent heat and freshwater transport at ice-ocean interfaces controls glacier and iceberg melt rates, yet the underlying physics remains poorly constrained. Parameterizations that assume shear boundary layer scaling are commonly used,…

The generation of ocean surface waves by wind is a classic fluid mechanics problem whose theoretical study dates back to 1957, when the two seminal papers by Phillips and Miles were published in the incipient Journal of Fluid Mechanics.…

Fluid Dynamics · Physics 2023-02-17 Tianyi Li , Lian Shen

We simulate the nonlinear hydrodynamical evolution of tidally-excited inertial waves in convective envelopes of rotating stars and giant planets modelled as spherical shells containing incompressible, viscous and adiabatically-stratified…

Solar and Stellar Astrophysics · Physics 2023-09-07 Aurélie Astoul , Adrian J. Barker

We derive a new hyperbolic model describing the propagation of internal waves in a stratified shallow water with a non-hydrostatic pressure distribution. The construction of the hyperbolic model is based on the use of additional…

Fluid Dynamics · Physics 2020-05-28 Alexander Chesnokov , Valery Liapidevskii

The combination of elliptical deformation of streamlines and vorticity can lead to the destabilisation of any rotating flow via the elliptical instability. Such a mechanism has been invoked as a possible source of turbulence in planetary…

Fluid Dynamics · Physics 2017-09-13 Thomas Le Reun , Benjamin Favier , Adrian J. Barker , Michael Le Bars