An equation for odd order spectral moments using partial averaging approach

ZHENG Gui-zhen; XU De-lun

Article Contents

Article Navigation > Haiyang Xuebao > 2001 > 23(2): 18-24

ZHENG Gui-zhen, XU De-lun. An equation for odd order spectral moments using partial averaging approach[J]. Haiyang Xuebao, 2001, 23(2): 18-24.

Citation:

ZHENG Gui-zhen, XU De-lun. An equation for odd order spectral moments using partial averaging approach[J]. Haiyang Xuebao, 2001, 23(2): 18-24.

ZHENG Gui-zhen, XU De-lun. An equation for odd order spectral moments using partial averaging approach[J]. Haiyang Xuebao, 2001, 23(2): 18-24.

Citation:

ZHENG Gui-zhen, XU De-lun. An equation for odd order spectral moments using partial averaging approach[J]. Haiyang Xuebao, 2001, 23(2): 18-24.

PDF( 289 KB)

An equation for odd order spectral moments using partial averaging approach

Laboratory of Physical Oceanography, Ocean University of Qingdao, Qingdao 266003, China

Received Date: 1999-10-23
Rev Recd Date: 1999-12-25

Abstract

Abstract

A partial averaging approach used to evaluate high-order moments of wave spectra was developed by Glazman.He derived out a general equation to estimate even order moments from the known spectra and defined another one for odd order which is found to be inconsistent with the essence of the partial averaging.An alternative equation for odd order moments is got strictly from random process theory based on Glazman's partial averaging idea.The new equation is then employed in the study of the statistical distribution of horizontal velocities of the water particles on the unbroken sea surface.The effect of the occurrence of wave breaking on the statistical distribution of water particle velocities is considered through the wave breaking criterion about downward acceleration.It is found that this distribution deviates from Gaussian and is asymmetric about zero vertical velocity,further,it depends on two parameters,one of which is the spectral width ε_u,the other is the combination β_g √M₄ which is related to whitecap coverage.
- sea wave,
- spectral moment,
- horizontal velocity,
- vertical acceleration,
- wave breaking

FullText(HTML)

References(11)

References

GLAZMAN R E.Statistical characterization of sea surface geometry for a wave slope field discontinuous in the mean square [J].J Geophys Res,1986,91(C5): 6 629～6 641.

管长龙.波面极大值处水质点水平速度的统计分布[J].青岛海洋大学学报,1998,28(1):1～4.

宋金宝,徐德伦,孙孚.计算孤立小桩柱上随机波浪力的一个线性化的Moriaon公式[J].海洋学报,1997,19(3):133～141.

俞聿修.孤立桩柱上不规则波浪力的计算[J].海洋学报,1980,2(4):132～146.

GLAZMAN R E.Mathematical modeling of breaking wave statistics [A].Toba Y,Mitsyasu H.The Ocean Surface: Wave Breaking,Turbulent Mixing and Radio Probing [C].Hingham,Mass: D.Reidel,1985.145～150.

LONGUET-HIGGINS M S.The generation of capillary waves by steep gravity waves [J].J Fluid Mech,1963,16:138～159.

SNYDER R L,KENNEDY R M.On the formation of whitecaps by a threshold mechanism.Part Ⅰ: Basic formalism [J].J Phys Oceanogr,1983,13:1 482～1 492.

KENNEDY R M,SNYDER R L.On the formation of whitecaps by a threshold mechanism.Part Ⅱ: Monte Carlo experiments [J].Phys Oceanogr,1983,13:1 493～1 504.

SNYDER R L,LINDA Smith,KENNEDY R M.On the formation of whitecaps by a threshold mechanism.Part Ⅲ.Field experiment and comparison with theory [J].J Phys Oceanogr,1983,13:1 505～1 518.

郑桂珍,刘学海,徐德伦.一种白浪覆盖率与风要素关系模式[J].青岛海洋大学学报,1999,29(4):569～574.

MONAHAN E S.Oeeanic whitecaps [J].J Phys Oceanogr,1971,(1): 139～144.

Relative Articles

Supplements(0)

Cited By

Proportional views