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

Quasi-linear Theory for Surface Wave-Current Interactions
James C. McWilliams, James C. McWilliams
Page: 126
Format: pdf, ePub, mobi, fb2
ISBN: 9789811928758
Publisher: Springer Nature Singapore
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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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