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Ref.: SiPLAB Report 04/01, University of Algarve, 2001.
Abstract: Dynamic modes are important to describe the motion
of a uid and can be easily derived in the hydrostatic and
non-hydrostatic linear cases from the general equations of uid
dynamics, neglecting the e ects of friction and viscosity. In general
the dynamic modes can be used to describe in detail the elds of
pressure, density and currents. However, as will be shown in the
following chapter, dynamic modes can be used to introduce a semi-
orthogonal representation of the temperature, salinity and sound
speed elds, which are the fundamental objects of interest in
acoustic tomography. This internal report describes the theoretical
background behind the description of dynamic modes, their relationship
to temperature and sound speed, and also describes the numerical
methods that allow to calculate a particular set of dynamic modes from
a single temperature profile.
ACKNOWLEDGMENT: this work was partially supported by
ATOMS (FCT, Portugal) and TOMPACO projectos (CNR, Italy).