Evolution of random wave fields in the water of finite depth

Denys Dutykh

doi:10.1016/j.piutam.2014.01.046

Evolution of random wave fields in the water of finite depth

Denys Dutykh

Mathematics

Research output: Contribution to journal › Conference article › peer-review

11 Scopus citations

Abstract

The evolution of random wave fields on the free surface is a complex process which is not completely understood nowadays. For the sake of simplicity in this study we will restrict our attention to the 2D physical problems only (i.e. 1D wave propagation). However, the full Euler equations are solved numerically in order to predict the wave field dynamics. We will consider the most studied deep water case along with several finite depths (from deep to shallow waters) to make a comparison. For each depth we will perform a series of Monte-Carlo runs of random initial conditions in order to deduce some statistical properties of an average sea state.

Original language	British English
Pages (from-to)	34-43
Number of pages	10
Journal	Procedia IUTAM
Volume	11
DOIs	https://doi.org/10.1016/j.piutam.2014.01.046
State	Published - 2014
Event	IUTAM Symposium on Nonlinear Interfacial Wave Phenomena from the Micro- to the Macro-Scale - Limassol, Cyprus Duration: 14 Apr 2013 → 17 Apr 2013

Keywords

Conformal mapping
Deep water
Euler equations
Finite depth
Monte-Carlo simulation
Random seas

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10.1016/j.piutam.2014.01.046

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title = "Evolution of random wave fields in the water of finite depth",

abstract = "The evolution of random wave fields on the free surface is a complex process which is not completely understood nowadays. For the sake of simplicity in this study we will restrict our attention to the 2D physical problems only (i.e. 1D wave propagation). However, the full Euler equations are solved numerically in order to predict the wave field dynamics. We will consider the most studied deep water case along with several finite depths (from deep to shallow waters) to make a comparison. For each depth we will perform a series of Monte-Carlo runs of random initial conditions in order to deduce some statistical properties of an average sea state.",

keywords = "Conformal mapping, Deep water, Euler equations, Finite depth, Monte-Carlo simulation, Random seas",

author = "Denys Dutykh",

note = "Funding Information: This publication has emanated from research conducted with the financial support of European Research Council under the research project ERC-2011-AdG 290562-MULTIWAVE. The author wishes to acknowledge the SFI/HEA Irish Centre for High-End Computing (ICHEC) for the provision of computational facilities and support under the project “Numerical simulation of the extreme wave run-up on vertical barriers in coastal areas”. D. Dutykh is grateful to F. Fedele for fruitful discussions on random waves.; IUTAM Symposium on Nonlinear Interfacial Wave Phenomena from the Micro- to the Macro-Scale ; Conference date: 14-04-2013 Through 17-04-2013",

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N1 - Funding Information: This publication has emanated from research conducted with the financial support of European Research Council under the research project ERC-2011-AdG 290562-MULTIWAVE. The author wishes to acknowledge the SFI/HEA Irish Centre for High-End Computing (ICHEC) for the provision of computational facilities and support under the project “Numerical simulation of the extreme wave run-up on vertical barriers in coastal areas”. D. Dutykh is grateful to F. Fedele for fruitful discussions on random waves.

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N2 - The evolution of random wave fields on the free surface is a complex process which is not completely understood nowadays. For the sake of simplicity in this study we will restrict our attention to the 2D physical problems only (i.e. 1D wave propagation). However, the full Euler equations are solved numerically in order to predict the wave field dynamics. We will consider the most studied deep water case along with several finite depths (from deep to shallow waters) to make a comparison. For each depth we will perform a series of Monte-Carlo runs of random initial conditions in order to deduce some statistical properties of an average sea state.

AB - The evolution of random wave fields on the free surface is a complex process which is not completely understood nowadays. For the sake of simplicity in this study we will restrict our attention to the 2D physical problems only (i.e. 1D wave propagation). However, the full Euler equations are solved numerically in order to predict the wave field dynamics. We will consider the most studied deep water case along with several finite depths (from deep to shallow waters) to make a comparison. For each depth we will perform a series of Monte-Carlo runs of random initial conditions in order to deduce some statistical properties of an average sea state.

KW - Conformal mapping

KW - Deep water

KW - Euler equations

KW - Finite depth

KW - Monte-Carlo simulation

KW - Random seas

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DO - 10.1016/j.piutam.2014.01.046

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AN - SCOPUS:84894114958

SN - 2210-9838

VL - 11

SP - 34

EP - 43

JO - Procedia IUTAM

JF - Procedia IUTAM

T2 - IUTAM Symposium on Nonlinear Interfacial Wave Phenomena from the Micro- to the Macro-Scale

Y2 - 14 April 2013 through 17 April 2013

ER -

Evolution of random wave fields in the water of finite depth

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Keywords

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