Intermittency of gravity wave turbulence on the surface of an infinitely deep fluid: Numerical experiment.

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Title: Intermittency of gravity wave turbulence on the surface of an infinitely deep fluid: Numerical experiment.
Authors: Skvortsov, Alexei T.1 (AUTHOR) alexei.skvortsov@defence.gov.au, Kirezci, Cagil2 (AUTHOR), Sgarioto, Daniel1 (AUTHOR), Babanin, Alexander V.2 (AUTHOR)
Source: Physics Letters A. Oct2022, Vol. 449, pN.PAG-N.PAG. 1p.
Subjects: Gravity waves, Turbulence, Numerical solutions to equations, Equations of motion, Lyapunov exponents, Lamb waves, Fluid-structure interaction, Magnetohydrodynamic waves
Abstract: • Scaling exponent of velocity structure-function is evaluated up 15th order. • Different models of intermittency for wave turbulence have been validated. • She-Leveque model of intermittency provides a better fit for numerical data. The intermittency of gravity wave turbulence on the surface of an infinitely deep fluid has been studied numerically. We estimated the scaling exponent of surface elevation structure-functions directly from the equations of motion, e.g., by numerical solution of the underlying equations of motion, without any additional closure assumptions (e.g., phase randomisation) and reduction to the kinetic equations as in the conventional framework of wave turbulence theory. With our high-resolution numerical methods for accurately modelling the nonlinear water surface, we were able to evaluate the scaling exponents of the structure-function up to relatively high orders (p = 15), which has not been previously reported. We investigated the effect of wave steepness and forcing on intermittency and compared our results with other analytical and numerical studies, including results on the intermittency of wave turbulence of a different nature (turbulence of bending waves on a plate and magnetohydrodynamic turbulence). Our results support the conjecture of universality for intermittency phenomena in wave turbulence. [ABSTRACT FROM AUTHOR]
Copyright of Physics Letters A is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Intermittency of gravity wave turbulence on the surface of an infinitely deep fluid: Numerical experiment.
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  Data: <searchLink fieldCode="JN" term="%22Physics+Letters+A%22">Physics Letters A</searchLink>. Oct2022, Vol. 449, pN.PAG-N.PAG. 1p.
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  Data: <searchLink fieldCode="DE" term="%22Gravity+waves%22">Gravity waves</searchLink><br /><searchLink fieldCode="DE" term="%22Turbulence%22">Turbulence</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+solutions+to+equations%22">Numerical solutions to equations</searchLink><br /><searchLink fieldCode="DE" term="%22Equations+of+motion%22">Equations of motion</searchLink><br /><searchLink fieldCode="DE" term="%22Lyapunov+exponents%22">Lyapunov exponents</searchLink><br /><searchLink fieldCode="DE" term="%22Lamb+waves%22">Lamb waves</searchLink><br /><searchLink fieldCode="DE" term="%22Fluid-structure+interaction%22">Fluid-structure interaction</searchLink><br /><searchLink fieldCode="DE" term="%22Magnetohydrodynamic+waves%22">Magnetohydrodynamic waves</searchLink>
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  Data: • Scaling exponent of velocity structure-function is evaluated up 15th order. • Different models of intermittency for wave turbulence have been validated. • She-Leveque model of intermittency provides a better fit for numerical data. The intermittency of gravity wave turbulence on the surface of an infinitely deep fluid has been studied numerically. We estimated the scaling exponent of surface elevation structure-functions directly from the equations of motion, e.g., by numerical solution of the underlying equations of motion, without any additional closure assumptions (e.g., phase randomisation) and reduction to the kinetic equations as in the conventional framework of wave turbulence theory. With our high-resolution numerical methods for accurately modelling the nonlinear water surface, we were able to evaluate the scaling exponents of the structure-function up to relatively high orders (p = 15), which has not been previously reported. We investigated the effect of wave steepness and forcing on intermittency and compared our results with other analytical and numerical studies, including results on the intermittency of wave turbulence of a different nature (turbulence of bending waves on a plate and magnetohydrodynamic turbulence). Our results support the conjecture of universality for intermittency phenomena in wave turbulence. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
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  Data: <i>Copyright of Physics Letters A is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.physleta.2022.128337
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        Text: English
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      – SubjectFull: Gravity waves
        Type: general
      – SubjectFull: Turbulence
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      – SubjectFull: Numerical solutions to equations
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      – SubjectFull: Equations of motion
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      – SubjectFull: Lyapunov exponents
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      – SubjectFull: Lamb waves
        Type: general
      – SubjectFull: Fluid-structure interaction
        Type: general
      – SubjectFull: Magnetohydrodynamic waves
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      – TitleFull: Intermittency of gravity wave turbulence on the surface of an infinitely deep fluid: Numerical experiment.
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            NameFull: Skvortsov, Alexei T.
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            NameFull: Kirezci, Cagil
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            NameFull: Sgarioto, Daniel
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              Text: Oct2022
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              Y: 2022
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