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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

Wind-wave interaction involves wind forcing on wave surface and wave effects on the turbulent wind structures, which essentially influences the wind and wave loading on structures. Existing research on wind-wave interaction modeling ignores…

Fluid Dynamics · Physics 2022-06-07 Tianqi Ma , Chao Sun

The paper is devoted to two-phase flow simulations and investigates the ability of a diffusive interface Cahn-Hilliard Volume-of-Fluid model to capture the dynamics of the air-sea interface at geophysically relevant Reynolds numbers. It…

With the aim of assessing internal wave-driven mixing in the ocean, we develop a new technique for direct numerical simulations of stratified turbulence. Since the spatial scale of oceanic internal gravity waves is typically much larger…

Fluid Dynamics · Physics 2021-04-07 Y. Onuki , S. Joubaud , T. Dauxois

The coupled motion is investigated for a mechanical system consisting of water and a body freely floating in it. Water occupies either a half-space or a layer of constant depth into which an infinitely long surface-piercing cylinder is…

Mathematical Physics · Physics 2015-03-10 Nikolay Kuznetsov

To study acoustic wave propagation and the corresponding energy deposition in partially ionized plasmas, we use a two-fluid computational model that treats neutrals and charged particles (electrons and ions) as two separate fluids. This…

Plasma Physics · Physics 2021-04-26 Fan Zhang , Stefaan Poedts , Andrea Lani , Błażej Kuźma , Kris Murawski

High Froude-number flows become self-aerated when the destabilizing effect of turbulence overcomes gravity and surface tension forces. Traditionally, the resulting air concentration profile has been explained using single-layer approaches…

Fluid Dynamics · Physics 2023-07-20 Matthias Kramer , Daniel Valero

The majority of coastal flows are characterized by turbulence, rendering the application of shallow water equations an inadequate approach for their accurate description. This paper presents a theory for characterizing accelerated coastal…

Fluid Dynamics · Physics 2024-09-19 Arno Roland Ndengna Ngatcha

The gravity-driven spreading of one fluid in contact with another fluid is of key importance to a range of topics. To describe these phenomena, the two-layer shallow-water equations is commonly employed. When one layer is significantly…

Fluid Dynamics · Physics 2019-12-12 Eirik Holm Fyhn , Karl Yngve Lervåg , Åsmund Ervik , Øivind Wilhelmsen

In this paper a rotating two-fluid model for the propagation of internal waves is introduced. The model can be derived from a rotating-fluid problem by including gravity effects or from a nonrotating one by adding rotational forces in the…

Analysis of PDEs · Mathematics 2019-02-27 A. Durán

We study the (local) propagation of plane waves in a relativistic, non-dissipative, two-fluid system, allowing for a relative velocity in the "background" configuration. The main aim is to analyze relativistic two-stream instability. This…

General Relativity and Quantum Cosmology · Physics 2010-11-29 L. Samuelsson , C. S. Lopez-Monsalvo , N. Andersson , G. L. Comer

A variety of models describing the interaction between flows and oscillating structures are discussed. The main aim is to analyze conditions under which structural instability (flutter) induced by a fluid flow can be suppressed or…

Analysis of PDEs · Mathematics 2015-12-24 Igor Chueshov , Earl H. Dowell , Irena Lasiecka , Justin T. Webster

In this paper, we present a novel approach to model the fluid/solid interaction forces in a direct solver of the Navier-Stokes equations based on the volume of fluid interface tracking method. The key ingredient of the model is the explicit…

Fluid Dynamics · Physics 2015-06-16 Kyle Mahady , Shahriar Afkhami , Lou Kondic

We propose a mechanism for the damping of short ocean gravity waves during rainstorms associated with the injection of air bubbles by rain drops. The mechanism is proposed as one of the possible explanations that ascribe to rain a calming…

Fluid Dynamics · Physics 2018-12-27 Juan M. Restrepo , Alex Ayet , Luigi Cavaleri

Magneto-acoustic waves in partially ionized plasmas are damped due to elastic collisions between charged and neutral particles. Here, we use a linearized two-fluid model to describe the influence of this collisional interaction on the…

Plasma Physics · Physics 2025-10-17 David Martínez-Gómez

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

Using water/salty-water laboratory experiments}, we investigate the mechanism of erosion by a turbulent jet impinging on a density interface, for moderate Reynolds and Froude numbers. Contrary to previous models involving baroclinic…

Fluid Dynamics · Physics 2017-02-01 Johann Herault , Giulio Facchini , Michael Le Bars

We perform a non-linear analysis of a fluid-fluid wavy-stratified flow using a simplified two-fluid model, i.e., the fixed-flux model (FFM) which is an adaptation of shallow water theory for the two-layer problem. Linear analysis using the…

In this work, we develop a modelling framework for granular flows based on the shallow water moment equations on inclined planes. Under the assumption of a polynomial expansion of the velocity field, the model extends the classical shallow…

Numerical Analysis · Mathematics 2025-12-18 Julio Careaga , Qian Huang , Julian Koellermeier

We propose to model physical effects at the sharp density interface between atmosphere and ocean with the help of diffuse interface approaches for multiphase flows with variable densities. We use the variable-density model proposed in…

Numerical Analysis · Mathematics 2016-07-28 Harald Garcke , Michael Hinze , Christian Kahle
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