How to use the notion of wavelength to describe water waves?

Jinshang Li

doi:10.1117/12.2686002

28 July 2023 How to use the notion of wavelength to describe water waves?

Jinshang Li

Proceedings Volume 12756, 3rd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2023); 1275602 (2023) https://doi.org/10.1117/12.2686002
Event: 2023 3rd International Conference on Applied Mathematics, Modelling and Intelligent Computing (CAMMIC 2023), 2023, Tangshan, China

Abstract

The study of coastal hydrodynamics demands a thorough understanding of the properties of water waves. Following a brief introduction to the fundamental concepts of wavelength, dispersion, and ocean water wave mechanism, this paper covers the essentials of water wave theory, emphasizing wavelength in greater detail. Additionally, the mathematical models of the Navier-Stokes Equation were derived. Furthermore, the water wave speed equation is derived using gravitational force and dispersion. Most often, models are simplified so that they may be applied to specific waves, such as deep-sea waves, which are more difficult to predict. The amplitude and wavelength of a water wave are frequently classified based on the depth of the water in which they happen. Ocean waves of great amplitude and long wavelength, for example, are created in the deep ocean as waves of small amplitude but long-wavelength; when they approach the shoreline, however, they increase in amplitude while reducing in wavelength.

Citation Download Citation

Jinshang Li "How to use the notion of wavelength to describe water waves?", Proc. SPIE 12756, 3rd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2023), 1275602 (28 July 2023); https://doi.org/10.1117/12.2686002

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