Articles | Volume 12, issue 6
https://doi.org/10.5194/npg-12-891-2005
© Author(s) 2005. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.
https://doi.org/10.5194/npg-12-891-2005
© Author(s) 2005. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.
03 Nov 2005
Self-similarity of wind-driven seas
S. I. Badulin
P.P.Shirshov Institute of Oceanology of Russian Academy of Sciences, Moscow, Russia
A. N. Pushkarev
Landau Institute for Theoretical Physics of Russian Academyof Sciences, Moscow, Russia
Waves and Solitons LLC, Phoenix, Arizona, USA
D. Resio
Waterways Experiment Station, USA, Vicksburg, Massachusets, USA
V. E. Zakharov
University of Arizona, Tucson, USA
P.P.Shirshov Institute of Oceanology of Russian Academy of Sciences, Moscow, Russia
Landau Institute for Theoretical Physics of Russian Academyof Sciences, Moscow, Russia
Waves and Solitons LLC, Phoenix, Arizona, USA
Viewed
Total article views: 3,118 (including HTML, PDF, and XML)
Cumulative views and downloads
(calculated since 01 Feb 2013)
| HTML | XML | Total | BibTeX | EndNote | |
|---|---|---|---|---|---|
| 1,714 | 1,162 | 242 | 3,118 | 348 | 286 |
- HTML: 1,714
- PDF: 1,162
- XML: 242
- Total: 3,118
- BibTeX: 348
- EndNote: 286
Cited
86 citations as recorded by crossref.
- Wave Buoy Measurements at Short Fetches in the Black Sea Nearshore: Mixed Sea and Energy Fluxes A. Rybalko et al. https://doi.org/10.3390/w15101834
- ACADEMICIAN VLADIMIR EVGENIEVICH ZAKHAROV (1939–2023) AND SHIRSHOV INSTITUTE OF OCEANOLOGY S. Badulin https://doi.org/10.29006/1564-2291.JOR-2023.51(3).13
- Analytic theory of a wind-driven sea V. Zakharov https://doi.org/10.1016/j.piutam.2018.03.005
- On discriminating swell and wind‐driven seas in Voluntary Observing Ship data S. Badulin & V. Grigorieva https://doi.org/10.1029/2012JC007937
- Нелинейное усиление океанских волн в проливах A. Pushkarev & V. Zakharov https://doi.org/10.4213/tmf9804
- Directional wave spectra at the regional scale with the KuROS airborne radar: comparisons with models E. Le Merle et al. https://doi.org/10.1007/s10236-019-01271-5
- Saturation of the Inverse Cascade in Surface Gravity-Wave Turbulence E. Falcon et al. https://doi.org/10.1103/PhysRevLett.125.134501
- The Caspian Sea as a full-scale experimental facility supported by altimetry measurements of wind-driven waves S. Badulin et al. https://doi.org/10.1016/j.dynatmoce.2025.101554
- Dynamical scaling and the finite-capacity anomaly in three-wave turbulence C. Connaughton & A. Newell https://doi.org/10.1103/PhysRevE.81.036303
- Laboratory study of wave turbulence under isotropic forcing Z. Taebel et al. https://doi.org/10.1103/PhysRevFluids.9.094803
- Ocean swell within the kinetic equation for water waves S. Badulin & V. Zakharov https://doi.org/10.5194/npg-24-237-2017
- On fetch- and duration-limited wind wave growth: Data and parametric model V. Dulov et al. https://doi.org/10.1016/j.ocemod.2020.101676
- HIGH RESOLUTION WAVE FORECASTING MODELS AND WAVE TURBULENCE THEORY S. Badulin et al. https://doi.org/10.29006/1564-2291.JOR-2019.47(1).3
- Can bottom friction suppress ‘freak wave’ formation? V. VORONOVICH et al. https://doi.org/10.1017/S0022112008001171
- Properties and asymptotics of water waves nonlinear interaction coefficient V. Geogjaev https://doi.org/10.1017/jfm.2025.267
- Ocean Surface Wave Spectra inside Tropical Cyclones P. Hwang et al. https://doi.org/10.1175/JPO-D-17-0066.1
- Typhoon/Hurricane-Generated Wind Waves Inferred from SAR Imagery L. Zhang et al. https://doi.org/10.3390/rs10101605
- Characteristics of directional wave spectra and implications for detailed-balance wave modeling D. Resio et al. https://doi.org/10.1016/j.ocemod.2015.09.009
- New Effects in the Evolution of the Wave Spectrum in a Tank V. Polnikov et al. https://doi.org/10.1134/S002136402008007X
- The kinetic equation solutions and Kolmogorov spectra V. Polnikov & F. Qiao https://doi.org/10.1088/1755-1315/231/1/012043
- Quadruplet form of water waves kinetic equation V. Geogjaev https://doi.org/10.1016/j.physd.2025.134977
- A very small wave buoy: The challenges learned from a proof-of-concept field experiment Y. Yurovsky & O. Kudinov https://doi.org/10.1016/j.oceaneng.2026.124212
- Fetch- and Duration-Limited Nature of Surface Wave Growth inside Tropical Cyclones: With Applications to Air–Sea Exchange and Remote Sensing P. Hwang https://doi.org/10.1175/JPO-D-15-0173.1
- Numerical Study on the Influence of Tropical Cyclone Characteristics on the Sea State and Sea Surface Roughness inside the Tropical Cyclones S. Li et al. https://doi.org/10.3390/jmse10050609
- Numerical Modeling of Fetch-Limited Waves in the Gulf of Tehuantepec L. Romero & W. Melville https://doi.org/10.1175/2009JPO4128.1
- Spatial evolution of young wind waves: numerical modelling verified by experiments L. Shemer et al. https://doi.org/10.1017/jfm.2020.549
- Direct Numerical Simulation of Downshift and Inverse Cascade for Water Wave Turbulence S. Annenkov & V. Shrira https://doi.org/10.1103/PhysRevLett.96.204501
- Wave Turbulence A. Newell & B. Rumpf https://doi.org/10.1146/annurev-fluid-122109-160807
- Directional spectra of hurricane wind waves I. Young https://doi.org/10.1029/2006JC003540
- Influence of the condensate and inverse cascade on the direct cascade in wave turbulence A. Korotkevich https://doi.org/10.1016/j.matcom.2010.07.009
- Kats–Kontorovich anisotropic solution in simulations of ocean swell S. Badulin et al. https://doi.org/10.1016/j.physd.2025.134906
- “Fast” Nonlinear Evolution in Wave Turbulence S. Annenkov & V. Shrira https://doi.org/10.1103/PhysRevLett.102.024502
- Simultaneous Numerical Simulation of Direct and Inverse Cascades in Wave Turbulence A. Korotkevich https://doi.org/10.1103/PhysRevLett.101.074504
- Wind-Driven Sea Spectra Resilience as a Statistical Attractor A. Pushkarev et al. https://doi.org/10.1134/S0021364024603932
- Nonlinear amplification of ocean waves in straits A. Pushkarev & V. Zakharov https://doi.org/10.1134/S0040577920040091
- Retrieval of wave period from altimetry: Deep learning accounting for random wave field dynamics J. Wang et al. https://doi.org/10.1016/j.rse.2021.112629
- Comparison of Different Models for Wave Generation of The Hasselmann Equation A. Pushkarev https://doi.org/10.1016/j.piutam.2018.03.013
- Bridging the gap between cyclone wind and wave by C‐band SAR measurements W. Shao et al. https://doi.org/10.1002/2017JC012908
- The Role of Nonlinear Momentum Fluxes on the Evolution of Directional Wind-Wave Spectra D. Resio et al. https://doi.org/10.1175/2010JPO4545.1
- Asymmetric dual cascade in gravitational wave turbulence B. Gay & S. Galtier https://doi.org/10.1016/j.physd.2025.134712
- Wave steepness from satellite altimetry for wave dynamics and climate studies S. Badulin et al. https://doi.org/10.2205/2018ES000638
- Revisiting wind-free universality of deep-water wave growth with observations A. Eyhavand-Koohzadi et al. https://doi.org/10.1016/j.apor.2025.104429
- Nonlinearity and nonequilibrium together in Nature: wind waves in the open ocean Y. Pomeau & M. Le Berre https://doi.org/10.1140/epjd/e2010-00276-3
- Ocean wave spectrum properties as derived from quasi‐exact computations of nonlinear wave‐wave interactions E. Gagnaire‐Renou et al. https://doi.org/10.1029/2009JC005665
- Evaluation of Wind Wave Growth Parameters Basing on Spectral Fluxes S. Badulin & V. Geogdzhaev https://doi.org/10.1007/s11141-019-09915-8
- Numerical and analytical calculations of the parameters of power-law spectra for deep water gravity waves V. Geogjaev & V. Zakharov https://doi.org/10.1134/S0021364017150012
- Analytical Review of the Description of Diffusion in a Sea Wave Field, Taking into Account Wave Age G. Golitsyn & S. Badulin https://doi.org/10.1134/S000143702670030X
- The NOPP operational wave model improvement project H. Tolman et al. https://doi.org/10.1016/j.ocemod.2012.11.011
- The Role of Evolution Mechanisms in the Formation of a Wind-Wave Equilibrium Spectrum V. Polnikov https://doi.org/10.1134/S0001433818040278
- Blowup driven by critical balance in a differential kinetic model of gravity wave turbulence D. Schubring et al. https://doi.org/10.1016/j.physd.2026.135217
- Wave Turbulence on Water Surface S. Nazarenko & S. Lukaschuk https://doi.org/10.1146/annurev-conmatphys-071715-102737
- Weakly turbulent laws of wind-wave growth S. BADULIN et al. https://doi.org/10.1017/S0022112007008282
- Hölder Scales of Sea Level M. Li et al. https://doi.org/10.1155/2012/863707
- Balanced source terms for wave generation within the Hasselmann equation V. Zakharov et al. https://doi.org/10.5194/npg-24-581-2017
- Kinetic equations in a third-generation spectral wave model Q. Liu et al. https://doi.org/10.1017/jfm.2020.1036
- A Portable Airborne Scanning Lidar System for Ocean and Coastal Applications B. Reineman et al. https://doi.org/10.1175/2009JTECHO703.1
- Fractional Brownian motion: Difference iterative forecasting models W. Song et al. https://doi.org/10.1016/j.chaos.2019.04.021
- Evolution of Wave Turbulence under “Gusty” Forcing S. Annenkov & V. Shrira https://doi.org/10.1103/PhysRevLett.107.114502
- Highly nonlinear wind waves in Currituck Sound: dense breather turbulence in random ocean waves A. Osborne et al. https://doi.org/10.1007/s10236-018-1232-y
- Third-order resonant wave interactions under the influence of background current fields T. Waseda et al. https://doi.org/10.1017/jfm.2015.578
- The Phillips spectrum and a model of wind-wave dissipation S. Badulin & V. Zakharov https://doi.org/10.1134/S0040577920030034
- Airborne Observations of Fetch-Limited Waves in the Gulf of Tehuantepec L. Romero & W. Melville https://doi.org/10.1175/2009JPO4127.1
- Nonlinear saturation-based whitecapping dissipation in SWAN for deep and shallow water A. van der Westhuysen et al. https://doi.org/10.1016/j.coastaleng.2006.08.006
- On energy balance in wind-driven seas V. Zakharov & S. Badulin https://doi.org/10.1134/S1028334X11100175
- Self- and Inter-Crossover Points of Jasons’ Missions as New Essential Add-on of Satellite Altimetry in the Sub-Arctic Seas and the Southern Ocean S. Badulin et al. https://doi.org/10.3390/rs13040658
- Numerical analysis of a self-similar turbulent flow in Bose–Einstein condensates B. Semisalov et al. https://doi.org/10.1016/j.cnsns.2021.105903
- Azimuthal and Radial Variation of Wind-Generated Surface Waves inside Tropical Cyclones P. Hwang & E. Walsh https://doi.org/10.1175/JPO-D-16-0051.1
- Wind–wave coupling study using LES of wind and phase-resolved simulation of nonlinear waves X. Hao & L. Shen https://doi.org/10.1017/jfm.2019.444
- Spectral evolution of weakly nonlinear random waves: kinetic description versus direct numerical simulations S. Annenkov & V. Shrira https://doi.org/10.1017/jfm.2018.185
- Observations of Typhoon Waves in a Reef Lagoon of the South China Sea Z. Cai et al. https://doi.org/10.1175/JPO-D-19-0146.1
- Accelerated modelling of ocean waves D. Mody https://doi.org/10.1515/tp-2026-0043
- Limited fetch revisited: Comparison of wind input terms, in surface wave modeling A. Pushkarev & V. Zakharov https://doi.org/10.1016/j.ocemod.2016.03.005
- Aggregation–fragmentation processes and decaying three-wave turbulence C. Connaughton & P. Krapivsky https://doi.org/10.1103/PhysRevE.81.035303
- Weak‐Turbulent Theory of Wind‐Driven Sea V. Zakharov et al. https://doi.org/10.1029/2018EA000471
- Role of the basin boundary conditions in gravity wave turbulence L. Deike et al. https://doi.org/10.1017/jfm.2015.494
- Coexistence of Weak and Strong Wave Turbulence in a Swell Propagation V. Zakharov et al. https://doi.org/10.1103/PhysRevLett.99.164501
- Impact of nonlinear energy transfer on the wave field in Pacific hindcast experiments H. Tamura et al. https://doi.org/10.1029/2009JC006014
- On ST6 Source Terms Model Assessment and Alternative A. Pushkarev et al. https://doi.org/10.3390/w15081521
- A physical model of sea wave period from altimeter data S. Badulin https://doi.org/10.1002/2013JC009336
- Wave breaking onset and strength for two-dimensional deep-water wave groups M. BANNER & W. PEIRSON https://doi.org/10.1017/S0022112007006568
- Large-time evolution of statistical moments of wind–wave fields S. Annenkov & V. Shrira https://doi.org/10.1017/jfm.2013.243
- Statistical Mechanics of Specular Reflections from Fluctuating Membranes and Interfaces A. Azadi & D. Nelson https://doi.org/10.1007/s10955-018-2203-x
- Effects of finite non-Gaussianity on evolution of a random wind wave field S. Annenkov & V. Shrira https://doi.org/10.1103/PhysRevE.106.L042102
- Universality of sea wave growth and its physical roots V. Zakharov et al. https://doi.org/10.1017/jfm.2015.468
- On weakly turbulent scaling of wind sea in simulations of fetch-limited growth E. GAGNAIRE-RENOU et al. https://doi.org/10.1017/S0022112010004921
- Invariantnost' evolyutsii spektrov vetrovykh voln v okeane kak statisticheskiy attraktor A. Pushkarev et al. https://doi.org/10.31857/S0370274X24120162
Latest update: 13 Nov 2026
