Slope wavenumber spectrum models of capillary and capillary-gravity waves

Yongjun Jia; Jie Zhang; Yanfeng Wang

doi:10.1007/s00343-010-9290-0

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Slope wavenumber spectrum models of capillary and capillary-gravity waves

OriginalPaper | Updated：2023-05-16

- Slope wavenumber spectrum models of capillary and capillary-gravity waves
- Slope wavenumber spectrum models of capillary and capillary-gravity waves
- 海洋湖沼学报（英文） 2010年28卷第2期页码：359-363
- Affiliations：
  
  1. Institute of Oceanology Chinese Academy of Sciences
  2. Graduate School Chinese Academy of Sciences
  3. First Institute of Oceanography State Oceanic Administration
- Author bio：
- Funds：
  
  Supported by the National Natural Science Foundation of China (No. 60372077).
- DOI：10.1007/s00343-010-9290-0
  中图分类号：
- 网络首发：2010-03-20，
  
  纸质出版：2010
- Accepted：
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Slope wavenumber spectrum models of capillary and capillary-gravity waves[J]. 海洋湖沼学报（英文）, 2010,28(2):359-363.

Jia, Y., Zhang, J. & Wang, Y. Slope wavenumber spectrum models of capillary and capillary-gravity waves., Chin. J. Ocean. Limnol. 28, 359–363 (2010). https://doi.org/10.1007/s00343-010-9290-0
Slope wavenumber spectrum models of capillary and capillary-gravity waves[J]. 海洋湖沼学报（英文）, 2010,28(2):359-363. DOI： 10.1007/s00343-010-9290-0.

Jia, Y., Zhang, J. & Wang, Y. Slope wavenumber spectrum models of capillary and capillary-gravity waves., Chin. J. Ocean. Limnol. 28, 359–363 (2010). https://doi.org/10.1007/s00343-010-9290-0 DOI：

摘要

Abstract

Capillary and capillary-gravity waves possess a random character

and the slope wavenumber spectra of them can be used to represent mean distributions of wave energy with respect to spatial scale of variability. But simple and practical models of the slope wavenumber spectra have not been put forward so far. In this article

we address the accurate definition of the slope wavenumber spectra of water surface capillary and capillary-gravity waves. By combining the existing slope wavenumber models and using the dispersion relation of water surface waves

we derive the slope wavenumber spectrum models of capillary and capillary-gravity waves. Simultaneously

by using the slope wavenumber models

the dependence of the slope wavenumber spectrum on wind speed is analyzed using data obtained in an experiment which was performed in a laboratory wind wave tank. Generally speaking

the slope wavenumber spectra are influenced profoundly by the wind speed above water surface. The slope wavenumber spectrum increases with wind speed obviously and do not cross each other for different wind speeds. But

for the same wind speed

the slope wavenumber spectra are essentially identical

even though the capillary and capillary-gravity waves are excited at different times and locations. Furthermore

the slope wavenumber spectra obtained from the models agree quite well with experimental results as regards both the values and the shape of the curve.

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references

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