Abstract
Under wind forcing, the deep water gravity wave amplitude spectrum experiences a shift of the spectral peak and its neighboring wave numbers toward lower wave numbers (downshift). This downshifting as the waves respond to a wind field is widely believed to be caused by the nonlinear interactions that govern the intrinsic wave dynamics. We investigate this process by integrating the Krasitskii equations in the presence of driving and dissipation. These equations make no a priori assumptions regarding the wave amplitude probability distribution function. Numerical results indicate that while nonlinear interactions play a role, the dominant cause of the downshift is the functional dependencies on wave number which are at the very least required for such a wind forcing term to have the correct dimensions.
| Original language | English (US) |
|---|---|
| Title of host publication | Wind Over Waves II |
| Subtitle of host publication | Forecasting and Fundamentals of Applications |
| Publisher | Elsevier Ltd |
| Pages | 119-125 |
| Number of pages | 7 |
| ISBN (Print) | 9781898563815 |
| DOIs | |
| State | Published - Jul 1 2003 |
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ASJC Scopus subject areas
- Earth and Planetary Sciences(all)
Cite this
On the Relative Importance of Wind Forcing and Nonlinear Interactions in the Downshift of a Gravity Wave Wavenumber Spectrum. / Willemsen, Jorge.
Wind Over Waves II: Forecasting and Fundamentals of Applications. Elsevier Ltd, 2003. p. 119-125.Research output: Chapter in Book/Report/Conference proceeding › Chapter
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TY - CHAP
T1 - On the Relative Importance of Wind Forcing and Nonlinear Interactions in the Downshift of a Gravity Wave Wavenumber Spectrum
AU - Willemsen, Jorge
PY - 2003/7/1
Y1 - 2003/7/1
N2 - Under wind forcing, the deep water gravity wave amplitude spectrum experiences a shift of the spectral peak and its neighboring wave numbers toward lower wave numbers (downshift). This downshifting as the waves respond to a wind field is widely believed to be caused by the nonlinear interactions that govern the intrinsic wave dynamics. We investigate this process by integrating the Krasitskii equations in the presence of driving and dissipation. These equations make no a priori assumptions regarding the wave amplitude probability distribution function. Numerical results indicate that while nonlinear interactions play a role, the dominant cause of the downshift is the functional dependencies on wave number which are at the very least required for such a wind forcing term to have the correct dimensions.
AB - Under wind forcing, the deep water gravity wave amplitude spectrum experiences a shift of the spectral peak and its neighboring wave numbers toward lower wave numbers (downshift). This downshifting as the waves respond to a wind field is widely believed to be caused by the nonlinear interactions that govern the intrinsic wave dynamics. We investigate this process by integrating the Krasitskii equations in the presence of driving and dissipation. These equations make no a priori assumptions regarding the wave amplitude probability distribution function. Numerical results indicate that while nonlinear interactions play a role, the dominant cause of the downshift is the functional dependencies on wave number which are at the very least required for such a wind forcing term to have the correct dimensions.
UR - http://www.scopus.com/inward/record.url?scp=84903427236&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84903427236&partnerID=8YFLogxK
U2 - 10.1016/B978-1-898563-81-5.50015-5
DO - 10.1016/B978-1-898563-81-5.50015-5
M3 - Chapter
SN - 9781898563815
SP - 119
EP - 125
BT - Wind Over Waves II
PB - Elsevier Ltd
ER -