On the role of domain aspect ratio in the westward intensification of
wind-driven surface ocean circulation
Abstract
The two seminal studies on westward intensification, carried out by
Stommel and Munk over 70 years ago, are revisited to elucidate the role
of the domain aspect ratio (i.e.~meridional to zonal
extents of the basin) in determining the width and speed of a western
boundary current (WBC). We examine the general mathematical properties
of the two models by transforming them to differential problems that
contain only two parameters — the domain aspect ratio and the
non-dimensional damping (viscous) coefficient. Simple proxies of width
and speed (and hence the transport that equals their product) of the WBC
are derived from analytical solutions of the non-dimensional vorticity
equations in the relevant region of the (damping, aspect ratio)
parameter space. These analytically determined proxies are then
benchmarked against numerical simulations of the corresponding
time-dependent equations. In both models, the three proxies vary as a
power law in the domain aspect ratio and in particular, the
non-dimensional transport varies linearly with the domain aspect ratio.