@article{Chan_etal_2006_PF,
  title = {Can the dynamics of shallow wakes be reproduced from a single time-averaged profile?},
  author = {F. C. Chan and M. S. Ghidaoui and A. A. Kolyshkin},
  year = 2006,
  journal = {PHYSICS OF FLUIDS},
  number = 4,
  volume = 18,
  url = {http://archipelago.uma.pt/pdf_library/Chan_etal_2006_PF.pdf},
  abstract = {To date, all linear stability analyses of shallow wakes are performed on a series of wake-type profiles, but the wake generating object and its associated separation points are always neglected in such analyses. The results of numerical modeling of depth-averaged shallow water equations are presented in order to assess the importance of a wake generating body (cylinder) for the vortex structure and the global frequency of oscillations. More specifically, this Brief Communication seeks to answer the following question: is it possible to reproduce the dynamics of a vortex street in shallow wakes by only knowing the time-averaged profile at a particular location downstream of the bluff body? This is accomplished by comparing the wake characteristics for the case with a cylinder situated in the middle of the flow domain with the flow characteristics for the case without a cylinder. The upstream boundary condition for the no cylinder case consists of a wake-type velocity profile. It is found that spatio-temporal patterns for the case with and without the cylinder are similar. The global frequency of oscillations, however, differs by 20\% to 30\% for the vortex street regime and by more than 50\% for the unsteady bubble regime. Better agreement between the vortex shedding frequencies for the cases with a cylinder and without a cylinder is achieved by introducing transverse perturbations at the upstream boundary for the no cylinder case. (C) 2006 American Institute of Physics.}
}