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Volume 24, issue 4 | Copyright
Nonlin. Processes Geophys., 24, 581-597, 2017
https://doi.org/10.5194/npg-24-581-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.

Research article 09 Oct 2017

Research article | 09 Oct 2017

Balanced source terms for wave generation within the Hasselmann equation

Vladimir Zakharov1,2,3,4, Donald Resio5, and Andrei Pushkarev1,2,3,4 Vladimir Zakharov et al.
  • 1Department of Mathematics, University of Arizona, Tucson, AZ 85721, USA
  • 2Lebedev Physical Institute RAS, Leninsky 53, Moscow 119991, Russia
  • 3Novosibirsk State University, Novosibirsk, 630090, Russia
  • 4Waves and Solitons LLC, 1719 W. Marlette Ave., Phoenix, AZ 85015, USA
  • 5Taylor Engineering Research Institute, University of North Florida, Jacksonville, FL, USA

Abstract. The new Zakharov–Resio–Pushkarev (ZRP) wind input source term Zakharov et al.(2012) is examined for its theoretical consistency via numerical simulation of the Hasselmann equation. The results are compared to field experimental data, collected at different sites around the world, and theoretical predictions based on self-similarity analysis. Consistent results are obtained for both limited fetch and duration limited statements.

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The Hasselmann equation (HE) is the basis of modern surface ocean wave prediction models. Currently, they operate in the black box with the tuning knobs modes, 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....
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