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Quasi-Linear Theory for Surface Wave-Current Interactions

Quasi-Linear Theory for Surface Wave-Current Interactions

Paperback

Environmental StudiesGeneral MathematicsPhysics

ISBN10: 9811928754
ISBN13: 9789811928758
Publisher: Springer
Published: Oct 6 2022
Pages: 126
Weight: 0.45
Height: 0.30 Width: 6.14 Depth: 9.21
Language: English

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.

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General Mathematics