Penalty Methods for Numerical Approximations of Optimal Boundary Flow Control Problems |
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Authors: | L S HOLT S S RAVINDRAN |
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Institution: | 1. Department of Mathematics Department of Mathematics and Statistics , Iowa Stale University York University , Ames 1A, 50011-2064, Toronto, Ontario, M3J IP3, Canada;2. Flow Modeling and Control Branch , Mail Stop 170 NASA Langley Research Center, Hampton, VA, 23681, USA |
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Abstract: | Abstract This article is concerned with penalty methods for solving optimal Dirichlet control problems governed by the steady-state and time-dependent Navier-Stokes equations. We present, in two different versions, the penalized methods for solving the steady-slate Dirichlet control problems. These approaches are implemented and compared numerically. We also generalize the penalty methods to the time-dependent case. Scmidiscrete and fully discrete approximations of time-dependent Dirichlet control problems are discussed and implemented. Numerical results for solving both the steady-state and the time dependent Dirichlet control problems are reported. |
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Keywords: | Optimal flow control incompressible flows penalty methods |
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