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Quasi-linear Theory for Surface Wave-Current Interactions

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Quasi-linear Theory for Surface Wave-Current Interactions/ by James C. McWilliams.
Author:	McWilliams, James C.
Description:	X, 126 p. 11 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Geography—Mathematics. -
Online resource:	https://doi.org/10.1007/978-981-19-2876-5
ISBN:	9789811928765

Quasi-linear Theory for Surface Wave-Current Interactions
McWilliams, James C.

Quasi-linear Theory for Surface Wave-Current Interactions[electronic resource] /by James C. McWilliams. - 1st ed. 2022. - X, 126 p. 11 illus. in color.online resource. - SpringerBriefs in Mathematics of Planet Earth, Weather, Climate, Oceans,2509-7334. - SpringerBriefs in Mathematics of Planet Earth, Weather, Climate, Oceans,.

1. Introduction -- 2. General Balances -- 3. Quasi-linear Wave and Current Balances -- 4. Scaling Analysis -- 5. Quasi-linear Wave Theory: CEW -- 6. Quasi-linear Current Theory: WEC -- 7. Wave–Current Resonance -- 8. Examples -- 9. A Program for Broad-Band Wave and Current Spectra -- 10. Material Concentration and Buoyancy -- 11. Summary and Prospects.

This book introduces a mathematical theory for the interaction of oceanic surface gravity waves and oceanic currents. This theory is formulated using the quasi-linear approximation for a uniform density fluid with a free surface and it provides wave-averaged expressions for the wave amplitudes and for the dynamical evolution of the currents. The surface gravity wave–current interaction theory is a more complete theory than previous with respect to an asymptotic expansion in the small parameter V/C, where V is a current speed and C is a wave speed. This book also illustrates the formal theory with several examples, and the path for its implementation in more realistic wave and circulation models is envisioned. This book is appealing to oceanic research scientists and mathematicians interested in geophysical fluid dynamics.

ISBN: 9789811928765

Standard No.: 10.1007/978-981-19-2876-5doiSubjects--Topical Terms:

1387745
Geography—Mathematics.

LC Class. No.: G70.23

Dewey Class. No.: 519

Quasi-linear Theory for Surface Wave-Current Interactions
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520 $a This book introduces a mathematical theory for the interaction of oceanic surface gravity waves and oceanic currents. This theory is formulated using the quasi-linear approximation for a uniform density fluid with a free surface and it provides wave-averaged expressions for the wave amplitudes and for the dynamical evolution of the currents. The surface gravity wave–current interaction theory is a more complete theory than previous with respect to an asymptotic expansion in the small parameter V/C, where V is a current speed and C is a wave speed. This book also illustrates the formal theory with several examples, and the path for its implementation in more realistic wave and circulation models is envisioned. This book is appealing to oceanic research scientists and mathematicians interested in geophysical fluid dynamics.
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