A Scheme for Estimating Time-Varying Wind Stress Drag Coefficient in the Ekman Model with Adjoint Assimilation

In this study, the time-varying wind stress drag coefficient in the Ekman model was inverted by the cubic spline interpolation scheme based on the adjoint method. Twin experiments were carried out to investigate the influences of several factors on inversion results, and the conclusions were (1) the...

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Autores principales:	Xinping Wu, Minjie Xu, Yanqiu Gao, Xianqing Lv
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	wind stress drag coefficient time-varying Ekman model adjoint assimilation cubic spline interpolation Naval architecture. Shipbuilding. Marine engineering VM1-989 Oceanography GC1-1581
Acceso en línea:	https://doaj.org/article/6ae472dece4f401db8af93ec58285527
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spelling	oai:doaj.org-article:6ae472dece4f401db8af93ec582855272021-11-25T18:04:27ZA Scheme for Estimating Time-Varying Wind Stress Drag Coefficient in the Ekman Model with Adjoint Assimilation10.3390/jmse91112202077-1312https://doaj.org/article/6ae472dece4f401db8af93ec582855272021-11-01T00:00:00Zhttps://www.mdpi.com/2077-1312/9/11/1220https://doaj.org/toc/2077-1312In this study, the time-varying wind stress drag coefficient in the Ekman model was inverted by the cubic spline interpolation scheme based on the adjoint method. Twin experiments were carried out to investigate the influences of several factors on inversion results, and the conclusions were (1) the inverted distributions with the cubic spline interpolation scheme were in good agreement with the prescribed distributions of the wind stress drag coefficients, and the cubic spline interpolation scheme was superior to direct inversion by the model scheme and Cressman interpolation scheme; (2) the cubic spline interpolation scheme was more advantageous than the Cressman interpolation scheme even if there is moderate noise in the observations. The cubic spline interpolation scheme was further validated in practical experiments where Ekman currents and wind speed derived from mooring data of ocean station Papa were assimilated. The results demonstrated that the variation of the time-varying wind stress drag coefficient with time was similar to that of wind speed with time, and a more accurate inversion result could be obtained by the cubic spline interpolation scheme employing appropriate independent points. Overall, this study provides a potential way for efficient estimation of time-varying wind stress drag coefficient.Xinping WuMinjie XuYanqiu GaoXianqing LvMDPI AGarticlewind stress drag coefficienttime-varyingEkman modeladjoint assimilationcubic spline interpolationNaval architecture. Shipbuilding. Marine engineeringVM1-989OceanographyGC1-1581ENJournal of Marine Science and Engineering, Vol 9, Iss 1220, p 1220 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	wind stress drag coefficient time-varying Ekman model adjoint assimilation cubic spline interpolation Naval architecture. Shipbuilding. Marine engineering VM1-989 Oceanography GC1-1581
spellingShingle	wind stress drag coefficient time-varying Ekman model adjoint assimilation cubic spline interpolation Naval architecture. Shipbuilding. Marine engineering VM1-989 Oceanography GC1-1581 Xinping Wu Minjie Xu Yanqiu Gao Xianqing Lv A Scheme for Estimating Time-Varying Wind Stress Drag Coefficient in the Ekman Model with Adjoint Assimilation
description	In this study, the time-varying wind stress drag coefficient in the Ekman model was inverted by the cubic spline interpolation scheme based on the adjoint method. Twin experiments were carried out to investigate the influences of several factors on inversion results, and the conclusions were (1) the inverted distributions with the cubic spline interpolation scheme were in good agreement with the prescribed distributions of the wind stress drag coefficients, and the cubic spline interpolation scheme was superior to direct inversion by the model scheme and Cressman interpolation scheme; (2) the cubic spline interpolation scheme was more advantageous than the Cressman interpolation scheme even if there is moderate noise in the observations. The cubic spline interpolation scheme was further validated in practical experiments where Ekman currents and wind speed derived from mooring data of ocean station Papa were assimilated. The results demonstrated that the variation of the time-varying wind stress drag coefficient with time was similar to that of wind speed with time, and a more accurate inversion result could be obtained by the cubic spline interpolation scheme employing appropriate independent points. Overall, this study provides a potential way for efficient estimation of time-varying wind stress drag coefficient.
format	article
author	Xinping Wu Minjie Xu Yanqiu Gao Xianqing Lv
author_facet	Xinping Wu Minjie Xu Yanqiu Gao Xianqing Lv
author_sort	Xinping Wu
title	A Scheme for Estimating Time-Varying Wind Stress Drag Coefficient in the Ekman Model with Adjoint Assimilation
title_short	A Scheme for Estimating Time-Varying Wind Stress Drag Coefficient in the Ekman Model with Adjoint Assimilation
title_full	A Scheme for Estimating Time-Varying Wind Stress Drag Coefficient in the Ekman Model with Adjoint Assimilation
title_fullStr	A Scheme for Estimating Time-Varying Wind Stress Drag Coefficient in the Ekman Model with Adjoint Assimilation
title_full_unstemmed	A Scheme for Estimating Time-Varying Wind Stress Drag Coefficient in the Ekman Model with Adjoint Assimilation
title_sort	scheme for estimating time-varying wind stress drag coefficient in the ekman model with adjoint assimilation
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/6ae472dece4f401db8af93ec58285527
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A Scheme for Estimating Time-Varying Wind Stress Drag Coefficient in the Ekman Model with Adjoint Assimilation

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