Oct

05

2022

Quasi-linear Theory for Surface Wave-Current Interactions

supnatural 5 Oct 2022 22:24 LEARNING » e-book


Quasi-linear Theory for Surface Wave-Current Interactions
English | 2022 | ISBN: 9811928754 | 136 Pages | PDF EPUB (True) | 12 MB




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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