A. Beckmann et S. Diebels, EFFECTS OF THE HORIZONTAL COMPONENT OF THE EARTHS ROTATION ON WAVE-PROPAGATION ON AN F-PLANE, Geophysical and astrophysical fluid dynamics, 76(1-4), 1994, pp. 95-119
Scaling arguments are used to show that effects due to the horizontal
component of the Coriolis force should be taken into account as a firs
t correction to the traditional hydrostatic theory, before frequency d
ispersion due to vertical acceleration and nonlinearity are included.
It is shown analytically that wave propagation of the f-(f) over tilde
-plane becomes anisotropic and that amphidromic systems do not exist i
n their usual definition. Another important consequence is the existen
ce of free wave solutions at subinertial frequencies. The inclusion of
the horizontal component of the Coriolis force is further investigate
d numerically for effects on various forms of wave propagation (barotr
opic, baroclinic, internal and topographic). Using a sigma-coordinate
ocean circulation model, the analytically derived results are extended
to more general cases including stratification and topography. A seri
es of idealized process studies is performed to show the modified wave
properties. These concentrate on the eigen-oscillations of closed bas
ins, the internal wave response to a single pulse and forced seamount
trapped waves. Implications for local and regional models of ocean cir
culation are considered.