Sensitivities, adjoints and flow optimization.

*(English)*Zbl 0962.76030Summary: We consider several issues related to the calculation of flow sensitivities and to the solution of flow optimization problems. For the latter, one-shot Lagrange multiplier methods are presented, as well as sensitivity- and adjoint-based iterative algorithms. A sample application of each method to a specific flow optimization problem is provided. Then we discuss difficulties associated with the practical implementation of methods. Particular emphasis is placed on the effect of flow discontinuities on approximate sensitivities and adjoints. A discussion of these issues is given in the context of the Riemann problem for which exact solution is known.

##### MSC:

76D55 | Flow control and optimization for incompressible viscous fluids |

##### Keywords:

flow sensitivities; flow optimization; one-shot Lagrange multiplier methods; adjoint-based iterative algorithms; effect of flow discontinuities; Riemann problem##### Software:

ADIFOR
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\textit{M. D. Gunzburger}, Int. J. Numer. Methods Fluids 31, No. 1, 53--78 (1999; Zbl 0962.76030)

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