Abstract (EN):
The global kinetic energy of regular waves is usually characterized through wave parameters,
namely height and wave length, without reference to its vertical distribution. A new
methodology to evaluate the vertical energy distribution from the velocity components was
developed (Taveira Pinto and Silva, 2006). The squared velocity components¿ functions for
each depth level may be theoretically calculated or determined from long enough
measurements time series. The average of those functions at one specific depth level over the
length of interest gives the mean horizontal and vertical specific kinetic energy at that level. In
this paper, this new methodology to evaluate the vertical energy distribution from the velocity
components is applied to irregular wave fields, to which the traditional method in the
evaluation of the energy per unit area or wave length is not applicable. The theoretical
generalization is based on Fourier series expansion of the surface elevation which is extended
to the velocity potential, as predicted by their relation, given by the small-amplitude wave
theory. From the velocity potential the generalized velocity components at each depth level
may also be calculated. Numerically simulated specific kinetic energy profiles using the
Fourier approximation and corresponding values calculated from measured velocity
components for irregular wave fields are presented.
Language:
English
Type (Professor's evaluation):
Scientific
No. of pages:
11