Bottom pressure caused by passage of a solitary wave within the strongly nonlinear Green-Naghdi model
Résumé
In practice, the bottom pressure caused by sea
waves (as well as the inverse problem of reconstruction
of the sea wave field according to the indications of
bottom transducers) is calculated within the framework of linear theory. According to this theory, it is
easy to find the one point relation between the sea
level oscillations and the bottom pressure variations
using the spectral approach [1–4]. As a result, the bottom pressure becomes completely determined for the
known characteristics of sea waves. However, if linear
theory intuitively works well in the case of small amplitude water waves, one should not rely on linear theory,
when a rough sea acquires an irregular and nonlinear
character as, for example, in the case of a storm at sea.
For example, it is shown in [1] that the results of predictions of linear theory in solving the inverse problem
differ by 15–20% from those measured under laboratory conditions and this difference is related to the
nonlinearity and noise in devices.