On relaxation times in the Navier-Stokes-Voigt model

نویسندگان

  • William J. Layton
  • Leo G. Rebholz
چکیده

We give two results that indicate that the relaxation time for the flow governed by the Navier-Stokes-Voigt (NSV) model is sinificantly larger than for the Navier-Stokes equations. We first show that for the Green-Taylor vortex decay problem, NSV admits an exact solution which has a significantly larger half life than for true fluid flow. Second, we observe in a channel flow test that NSV provides more regular solutions than usual Navier-Stokes solutions but NSV approximations take significantly longer to reach the steady state.

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تاریخ انتشار 2012