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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]
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Database: Engineering Source
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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]
ISSN:03759601
DOI:10.1016/j.physleta.2022.128337