An approximate solution of wave-modified Ekman current for gradually varying eddy viscosity

doi:10.1016/j.dsr.2011.04.001

IOCAS-IR > 海洋环流与波动重点实验室

	An approximate solution of wave-modified Ekman current for gradually varying eddy viscosity
	Song, Jin-Bao 1,2; Huang, Yan-Song 1,2,3
	2011-06-01
发表期刊	DEEP-SEA RESEARCH PART I-OCEANOGRAPHIC RESEARCH PAPERS
ISSN	0967-0637
卷号	58 期号:6 页码:668-676
文章类型	Article
摘要	An approximate steady solution of the wave-modified Ekman current is presented for gradually varying eddy viscosity by using the WKB method with the variation of parameters technique. The parameters involved in the solution can be determined by the two-dimensional wavenumber spectrum of ocean waves, wind speed, the Coriolis parameter and the densities of air and water. The solution reduces to the exact solution when the eddy viscosity is taken as a constant. As illustrative examples, for a fully developed wind-generated sea with different wind speeds and a few proposed gradually varying eddy viscosities, the current profiles calculated from the approximate solutions are compared with those of the exact solutions or numerical ones by using the Donelan and Pierson wavenumber spectrum, the WAM wave model formulation for wind input energy to waves, and wave energy dissipation converted to currents. It is shown that the approximate solution presented has an elegant form and yet would be valid for any given gradually varying eddy viscosity. The applicability of the solution method to the real ocean is discussed following the comparisons with published observational data and with the results from a large eddy simulation of the Ekman layer. (C) 2011 Elsevier Ltd. All rights reserved.; An approximate steady solution of the wave-modified Ekman current is presented for gradually varying eddy viscosity by using the WKB method with the variation of parameters technique. The parameters involved in the solution can be determined by the two-dimensional wavenumber spectrum of ocean waves, wind speed, the Coriolis parameter and the densities of air and water. The solution reduces to the exact solution when the eddy viscosity is taken as a constant. As illustrative examples, for a fully developed wind-generated sea with different wind speeds and a few proposed gradually varying eddy viscosities, the current profiles calculated from the approximate solutions are compared with those of the exact solutions or numerical ones by using the Donelan and Pierson wavenumber spectrum, the WAM wave model formulation for wind input energy to waves, and wave energy dissipation converted to currents. It is shown that the approximate solution presented has an elegant form and yet would be valid for any given gradually varying eddy viscosity. The applicability of the solution method to the real ocean is discussed following the comparisons with published observational data and with the results from a large eddy simulation of the Ekman layer. (C) 2011 Elsevier Ltd. All rights reserved.
关键词	Ekman Current Random Wave Stokes Drift Eddy Viscosity Coefficient
学科领域	Oceanography
DOI	10.1016/j.dsr.2011.04.001
URL	查看原文
收录类别	SCI
语种	英语
WOS记录号	WOS:000292372300005
引用统计	被引频次：13[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.qdio.ac.cn/handle/337002/11557
专题	海洋环流与波动重点实验室
作者单位	1.Chinese Acad Sci, Inst Oceanol, Qingdao 266071, Peoples R China 2.Chinese Acad Sci, KLOCAW, Qingdao 266071, Peoples R China 3.Chinese Acad Sci, Grad Univ, Beijing 100039, Peoples R China
第一作者单位	中国科学院海洋研究所; 海洋环流与波动重点实验室
推荐引用方式 GB/T 7714	Song, Jin-Bao,Huang, Yan-Song. An approximate solution of wave-modified Ekman current for gradually varying eddy viscosity[J]. DEEP-SEA RESEARCH PART I-OCEANOGRAPHIC RESEARCH PAPERS,2011,58(6):668-676.
APA	Song, Jin-Bao,&Huang, Yan-Song.(2011).An approximate solution of wave-modified Ekman current for gradually varying eddy viscosity.DEEP-SEA RESEARCH PART I-OCEANOGRAPHIC RESEARCH PAPERS,58(6),668-676.
MLA	Song, Jin-Bao,et al."An approximate solution of wave-modified Ekman current for gradually varying eddy viscosity".DEEP-SEA RESEARCH PART I-OCEANOGRAPHIC RESEARCH PAPERS 58.6(2011):668-676.

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