Flow over elliptic cylinders can be considered prototypical of flow ov
er a range of bluff bodies since the geometry allows one to study the
effect of both thickness and angle-of-attack on the flow field. Theref
ore, a careful study of this flow should provide valuable insight into
the phenomenon of unsteady separation and the structure of bluff body
wakes. with this in mind, a spectral collocation technique has been d
eveloped to simulate the full three-dimensional incompressible flow ov
er elliptic cylinders and, unlike spectral element and spectral multid
omain techniques, here the flow is solved in a single domain. The equa
tions are discretized on a body-fitted elliptic cylindrical grid and p
roperties of the metric associated with this coordinate system are use
d to solve the governing equations in an efficient manner. Key issues
including the inflow and outflow boundary conditions and time-discreti
zation are discussed in detail with the hope that this will facilitate
future simulations of similar flows. Finally, we present results of t
wo- and three-dimensional simulations for a range of flow and geometri
c parameters. The results are compared with available experimental dat
a and it is found that important quantities like Strouhal numbers and
drag coefficients match well with established values. (C) 1996 Academi
c Press, Inc.