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Energetics of the Layer-thickness Form Drag Based on an Integral Identity : Volume 3, Issue 3 (20/06/2006)

By Aiki, H.

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Book Id: WPLBN0004020971
Format Type: PDF Article :
File Size: Pages 28
Reproduction Date: 2015

Title: Energetics of the Layer-thickness Form Drag Based on an Integral Identity : Volume 3, Issue 3 (20/06/2006)  
Author: Aiki, H.
Volume: Vol. 3, Issue 3
Language: English
Subject: Science, Ocean, Science
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


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Yamagata, T., & Aiki, H. (2006). Energetics of the Layer-thickness Form Drag Based on an Integral Identity : Volume 3, Issue 3 (20/06/2006). Retrieved from

Description: Frontier Research Center for Global Change, Japan Agency for Marine-Earth Science and Technology, Yokohama-city 236-0001, Japan. The vertical redistribution of the geostrophic momentum by the residual effects of pressure perturbations (called the layer-thickness form drag) is investigated using thickness-weighted temporal-averaged mean primitive equations for a continuously stratified fluid in an adiabatic formulation. A four-box energy diagram, in which the mean and eddy kinetic energies are defined by the thickness-weighted mean velocity and the deviation from it, respectively, shows that the layer-thickness form drag reduces the mean kinetic energy and endows the eddy field with an energy cascade. The energy equations are derived using an identity (called the pile-up rule'') between cumulative sums of the Eulerian mean quantity and the thickness-weighted mean quantity in each vertical column. The pile-up rule shows that the thickness-weighted mean velocity satisfies a no-normal-flow boundary condition at the top and bottom of the ocean, which enables the volume budget of pressure flux divergence in the energy diagram to be determined. With the pile-up rule, the total kinetic energy based on the Eulerian mean can be rewritten in a thickness-weighted form. The four-box energy diagram in the present study should be consistent with energy diagrams of layer models, the temporal-residual-mean theory, and Iwasaki's atmospheric theory. Under certain assumptions, the work of the layer-thickness form drag in the global ocean circulation is suggested to be comparable to the work done by the wind forcing.

Energetics of the layer-thickness form drag based on an integral identity


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