The two- and three-dimensional wake structure behind a circular cylind
er has been computed using a high-order spectral element technique. Fo
r the two-dimensional computations the predictions are compared with a
ccurate experimental results and agree to within experimental uncertai
nty for the Strouhal number and base pressure coefficient. For the thr
ee-dimensional simulations, the two modes of three-dimensional instabi
lity, designated as modes A and B, both found experimentally but not p
reviously computationally, have been captured. Mode A appears first at
a Reynolds number slightly less than 200. As the Reynolds number is i
ncreased, there is a transfer of energy to mode B, which has a wavelen
gth approximately one-fourth that of mode A.