Theory of weakly damped free-surface flows: A new formulation based on potential flow solutions
Frédéric Dias,Alexander Dyachenko,Vladimir E. Zakharov,Vladimir E. Zakharov,Vladimir E. Zakharov +4 more
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In this paper, the authors used the linear approximation to the Navier-Stokes equations to derive a new set of equations for potential flow which include dissipation due to viscosity.About:
This article is published in Physics Letters A.The article was published on 2008-02-18 and is currently open access. It has received 156 citations till now. The article focuses on the topics: Navier–Stokes equations & Potential flow.read more
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Energy dissipation in two-dimensional unsteady plunging breakers and an eddy viscosity model
TL;DR: In this article, an experimental study of energy dissipation in two-dimensional unsteady plunging breakers and an eddy viscosity model to simulate the dissipation due to wave breaking are reported.
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Faraday pilot-wave dynamics: modelling and computation
TL;DR: In this paper, the authors developed a fluid model of pilot-wave hydrodynamics by coupling recent models of the droplet's bouncing dynamics with a more realistic model of weakly viscous quasi-potential wave generation and evolution.
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Nonlinear fast growth of water waves under wind forcing
TL;DR: In this article, a coordinate transformation is defined to map the forced nonlinear Schrodinger (NLS) equation into the standard NLS with constant coefficients, that has a number of known analytical soliton solutions.
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Hydrodynamic Quantum Analogs.
John W. M. Bush,Anand U. Oza +1 more
TL;DR: The walking droplet system discovered by Yves Couder and Emmanuel Fort presents an example of a vibrating particle self-propelling through a resonant interaction with its own wave field, and a generalized theoretical framework that provides a mathematical bridge between the hydrodynamic pilot-wave system and various realist models of quantum dynamics is described.
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Viscous potential free-surface flows in a fluid layer of finite depth
Denys Dutykh,Frédéric Dias +1 more
TL;DR: In this paper, Dutykh et al. used the Helmholtz-Leray decomposition to model weakly dissipative free-surface flows using the classical potential flow approach.
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Mass transport in water waves
TL;DR: In this article, a general theory of mass transport is developed, which takes account of the viscosity, and leads to results in agreement with observation, and is shown that the nature of the motion in the interior depends upon the ratio of the wave amplitude a to the thickness δ of the boundary layer.
Book
A treatise on hydrodynamics
TL;DR: The second volume of Basset's "Treatise on Hydrodynamics" as mentioned in this paper is a fitting complement to that work, and fulfils the expectations of value and completeness aroused by its appearance.
Book
Nonlinear Water Waves
TL;DR: In this paper, the theory of surface waves on water is presented. But it is not a theory applicable to water waves, as shown in Figure 1 : The Theory of Dispersive Waves on Water.
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New method for numerical simulation of a nonstationary potential flow of incompressible fluid with a free surface
TL;DR: In this paper, a new method for numerical simulation of potential flows with a free surface of two-dimensional fluid, based on combination of the conformal mapping and Fourier Transform is proposed.