Effects of discretization of the spectrum in water-wave turbulence

Fluid Dynamics Research

Volumn 34, Issue 3, 2004, Pages 199-216

  Tanaka, Mitsuhiro ^a   Yokoyama, Naoto ^b  

^a GIFU UNIVERSITY   (Japan)

^b KYOTO UNIVERSITY   (Japan)

Author keywords

Nonlinear water waves; Numerical simulation; Ocean waves; Surface gravity waves; Wave turbulence

Indexed keywords

BOUNDARY CONDITIONS; ENERGY TRANSFER; GRAVITY WAVES; NONLINEAR SYSTEMS; SURFACE WAVES; WATER WAVES;

CAPILLARY WAVES; DISCRETIZATION METHODS;

TURBULENCE;

DIRECT NUMERICAL SIMULATION; FLUID DYNAMICS; GRAVITY WAVE; TURBULENCE; WATER WAVE;

EID: 1242298969     PISSN: 01695983     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fluiddyn.2003.12.001     Document Type: Article

References (15)

1. Dommermuth D.G. The initialization of nonlinear waves using an adjustment scheme Wave Motion 32 2000 307-317
2. Dommermuth D.G. Yue D.K.P. A high-order spectral method for the study of nonlinear gravity waves J. Fluid Mech. 184 1987 267-288
3. Hasselmann K. On the non-linear energy transfer in a gravity-wave spectrum. Part 1. General theory J. Fluid Mech. 12 1962 481-500
4. Kartashova E. Wave resonances in systems with discrete spectra Zakharov V.E. Nonlinear Waves and Weak Turbulence 1998 95-129 American Mathematical Society Providence, RI
5. Komen G.J. Cavaleri L. Donelan M. Hasselmann K. Hasselmann S. Janssen P.A.E.M. Dynamics and Modelling of Ocean Wave 1994 Cambridge University Press Cambridge
6. Krasitskii V.P. On reduced equations in the Hamiltonian theory of weakly nonlinear surface waves J. Fluid Mech. 272 1994 1-20
7. Phillips O.M. On the dynamics of unsteady gravity waves of finite amplitude. Part 1 J. Fluid Mech. 9 1960 193-217
8. Pushkarev A.N. On the Kolmogorov and frozen turbulence in numerical simulation of capillary waves Eur. J. Mech. B/Fluids 18 1999 345-351
9. Pushkarev A.N. Zakharov V.E. Turbulence of capillary waves-theory and numerical simulation Physica D 135 2000 98-116
10. Resio D. Perrie W. A numerical study of nonlinear energy fluxes due to wave-wave interactions. Part 1. Methodology and basic results J. Fluid Mech. 223 1991 603-629
11. Tanaka M. Verification of Hasselmann's energy transfer among surface gravity waves by direct numerical simulations of primitive equations J. Fluid Mech. 444 2001 199-221
12. Tanaka M. A method of studying nonlinear random field of surface gravity waves by direct numerical simulation Fluid Dyn. Res. 28 2001 41-60
13. West B.J. Brueckner K.A. Janda R.S. Milder M. Milton R.L. A new numerical method for surface hydrodynamics J. Geophys. Res. 92 1987 11,803-11,824
14. Zakharov V.E. Stability of periodic waves of finite amplitude on the surface of a deep fluid J. Appl. Mech. Tech. Phys. (English Translation) 2 1968 190-194
15. Zakharov V.E. L'vov V.S. Falkovich G. Kolmogorov Spectra of Turbulence I-Wave Turbulence 1992 Springer Berlin