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Quasi-linear Theory for Surface Wave-Current Interactions

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Quasi-linear Theory for Surface Wave-Current Interactions/ by James C. McWilliams.
作者:	McWilliams, James C.
面頁冊數:	X, 126 p. 11 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Mathematical Physics. -
電子資源:	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:

786661
Mathematical Physics.

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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