Quasi-linear Theory for Surface Wave-Current Interactions

1. Auflage 2022
ISBN: 978-981-19-2875-8
Verlag: Springer Nature Singapore

Buch, Englisch, 126 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 219 g

Reihe: Mathematics of Planet Earth

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.

Zielgruppe

Research

Autoren/Hrsg.

McWilliams, James C.

Fachgebiete

• Geowissenschaften Geologie Marine Geologie, Ozeanographie (Meereskunde)
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Geowissenschaften Geologie Geophysik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

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.

Über Autor(innen)

James C. McWilliams is the Louis Slichter Professor of Earth Science in the Department of Atmospheric and Oceanic Sciences and Institute of Geophysics and Planetary Physics at the University of California at Los Angeles. He has written widely on geophysical fluid dynamics theory and computational simulations of turbulent flows. He is a Fellow of the American Geophysical Union and Member of the U.S. National Academy of Sciences.