Articles | Volume 24, issue 4
https://doi.org/10.5194/npg-24-581-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/npg-24-581-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Research article
| Highlight paper
| 
09 Oct 2017
Research article | Highlight paper |
| 09 Oct 2017
Balanced source terms for wave generation within the Hasselmann equation
Vladimir Zakharov
Department of Mathematics, University of Arizona, Tucson, AZ 85721,
USA
Lebedev Physical Institute RAS, Leninsky 53, Moscow 119991,
Russia
Novosibirsk State University, Novosibirsk, 630090, Russia
Waves and Solitons LLC, 1719 W. Marlette Ave., Phoenix, AZ 85015,
USA
Donald Resio
Taylor Engineering Research Institute, University of North
Florida, Jacksonville, FL, USA
Andrei Pushkarev
CORRESPONDING AUTHOR
Department of Mathematics, University of Arizona, Tucson, AZ 85721,
USA
Lebedev Physical Institute RAS, Leninsky 53, Moscow 119991,
Russia
Novosibirsk State University, Novosibirsk, 630090, Russia
Waves and Solitons LLC, 1719 W. Marlette Ave., Phoenix, AZ 85015,
USA
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Cited
26 citations as recorded by crossref.
- Evolution of wind-induced wave groups in water of finite depth M. Maleewong & R. Grimshaw 10.1017/jfm.2024.237
- SELF-SIMILAR AND LASER-LIKE REGIMES IN NUMERICAL MODELING OF HASSELMANN KINETIC EQUATION FOR OCEAN WAVES A. Pushkarev & V. Zakharov 10.29006/1564-2291.JOR-2019.47(1).31
- Нелинейное усиление океанских волн в проливах A. Pushkarev & V. Zakharov 10.4213/tmf9804
- Landsat-8 Observations of Foam Coverage under Fetch-Limited Wave Development V. Dulov et al. 10.3390/rs15092222
- Generation of Wave Groups by Shear Layer Instability R. Grimshaw 10.3390/fluids4010039
- Quantifying air–water turbulence with moment field equations C. Conroy et al. 10.1017/jfm.2021.242
- Comparison of Different Models for Wave Generation of The Hasselmann Equation A. Pushkarev 10.1016/j.piutam.2018.03.013
- Nonlinear amplification of ocean waves in straits A. Pushkarev & V. Zakharov 10.1134/S0040577920040091
- Quasi-linear approximation for description of turbulent boundary layer and wind wave growth Y. Troitskaya et al. 10.1016/j.piutam.2018.03.019
- Evolution of water wave groups with wind action M. Maleewong & R. Grimshaw 10.1017/jfm.2022.675
- Amplification of Wave Groups in the Forced Nonlinear Schrödinger Equation M. Maleewong & R. Grimshaw 10.3390/fluids7070233
- Evolution of Water Wave Groups in the Forced Benney–Roskes System M. Maleewong & R. Grimshaw 10.3390/fluids8020052
- Wind-Driven Sea Spectra Resilience as a Statistical Attractor A. Pushkarev et al. 10.1134/S0021364024603932
- Analytic theory of a wind-driven sea V. Zakharov 10.1016/j.piutam.2018.03.005
- Two-dimensional modulation instability of wind waves R. Grimshaw 10.1007/s40722-019-00146-7
- On ST6 Source Terms Model Assessment and Alternative A. Pushkarev et al. 10.3390/w15081521
- Invariantnost' evolyutsii spektrov vetrovykh voln v okeane kak statisticheskiy attraktor A. Pushkarev et al. 10.31857/S0370274X24120162
- Weak‐Turbulent Theory of Wind‐Driven Sea V. Zakharov et al. 10.1029/2018EA000471
- Breather Turbulence: Exact Spectral and Stochastic Solutions of the Nonlinear Schrödinger Equation A. Osborne 10.3390/fluids4020072
- Numerical Considerations for Quantifying Air–Water Turbulence with Moment Field Equations C. Conroy et al. 10.1007/s42286-021-00048-y
- Enhanced ocean wave modeling by including effect of breaking under both deep- and shallow-water conditions Y. Xu & X. Yu 10.5194/gmd-16-2811-2023
- On different approaches to statistical description of ocean waves A. Pushkarev 10.2205/2019ES000683
- Inconsistent Spectral Evolution in Operational Wave Models due to Inaccurate Specification of Nonlinear Interactions D. Ardag & D. Resio 10.1175/JPO-D-17-0162.1
- Laser-like wave amplification in straits A. Pushkarev 10.1007/s10236-020-01425-w
- Highly nonlinear wind waves in Currituck Sound: dense breather turbulence in random ocean waves A. Osborne et al. 10.1007/s10236-018-1232-y
- Evolution of water wave packets by wind in shallow water M. Maleewong & R. Grimshaw 10.1017/jfm.2024.616
26 citations as recorded by crossref.
- Evolution of wind-induced wave groups in water of finite depth M. Maleewong & R. Grimshaw 10.1017/jfm.2024.237
- SELF-SIMILAR AND LASER-LIKE REGIMES IN NUMERICAL MODELING OF HASSELMANN KINETIC EQUATION FOR OCEAN WAVES A. Pushkarev & V. Zakharov 10.29006/1564-2291.JOR-2019.47(1).31
- Нелинейное усиление океанских волн в проливах A. Pushkarev & V. Zakharov 10.4213/tmf9804
- Landsat-8 Observations of Foam Coverage under Fetch-Limited Wave Development V. Dulov et al. 10.3390/rs15092222
- Generation of Wave Groups by Shear Layer Instability R. Grimshaw 10.3390/fluids4010039
- Quantifying air–water turbulence with moment field equations C. Conroy et al. 10.1017/jfm.2021.242
- Comparison of Different Models for Wave Generation of The Hasselmann Equation A. Pushkarev 10.1016/j.piutam.2018.03.013
- Nonlinear amplification of ocean waves in straits A. Pushkarev & V. Zakharov 10.1134/S0040577920040091
- Quasi-linear approximation for description of turbulent boundary layer and wind wave growth Y. Troitskaya et al. 10.1016/j.piutam.2018.03.019
- Evolution of water wave groups with wind action M. Maleewong & R. Grimshaw 10.1017/jfm.2022.675
- Amplification of Wave Groups in the Forced Nonlinear Schrödinger Equation M. Maleewong & R. Grimshaw 10.3390/fluids7070233
- Evolution of Water Wave Groups in the Forced Benney–Roskes System M. Maleewong & R. Grimshaw 10.3390/fluids8020052
- Wind-Driven Sea Spectra Resilience as a Statistical Attractor A. Pushkarev et al. 10.1134/S0021364024603932
- Analytic theory of a wind-driven sea V. Zakharov 10.1016/j.piutam.2018.03.005
- Two-dimensional modulation instability of wind waves R. Grimshaw 10.1007/s40722-019-00146-7
- On ST6 Source Terms Model Assessment and Alternative A. Pushkarev et al. 10.3390/w15081521
- Invariantnost' evolyutsii spektrov vetrovykh voln v okeane kak statisticheskiy attraktor A. Pushkarev et al. 10.31857/S0370274X24120162
- Weak‐Turbulent Theory of Wind‐Driven Sea V. Zakharov et al. 10.1029/2018EA000471
- Breather Turbulence: Exact Spectral and Stochastic Solutions of the Nonlinear Schrödinger Equation A. Osborne 10.3390/fluids4020072
- Numerical Considerations for Quantifying Air–Water Turbulence with Moment Field Equations C. Conroy et al. 10.1007/s42286-021-00048-y
- Enhanced ocean wave modeling by including effect of breaking under both deep- and shallow-water conditions Y. Xu & X. Yu 10.5194/gmd-16-2811-2023
- On different approaches to statistical description of ocean waves A. Pushkarev 10.2205/2019ES000683
- Inconsistent Spectral Evolution in Operational Wave Models due to Inaccurate Specification of Nonlinear Interactions D. Ardag & D. Resio 10.1175/JPO-D-17-0162.1
- Laser-like wave amplification in straits A. Pushkarev 10.1007/s10236-020-01425-w
- Highly nonlinear wind waves in Currituck Sound: dense breather turbulence in random ocean waves A. Osborne et al. 10.1007/s10236-018-1232-y
- Evolution of water wave packets by wind in shallow water M. Maleewong & R. Grimshaw 10.1017/jfm.2024.616
Latest update: 02 Apr 2025
Short summary
The Hasselmann equation (HE) is the basis of modern surface ocean wave prediction models. Currently, they operate in the
black box with the tuning knobsmodes, since there is no consensus on universal wind input and wave-breaking dissipation source terms, and require re-tuning for different boundary and external conditions. We offer a physically justified framework able to reproduce theoretical properties of the HE and experimental field data without re-tuning of the model.
The Hasselmann equation (HE) is the basis of modern surface ocean wave prediction models....
