Abstract
We study the shape differentiability of a cost function for the steady flow of an incompressible viscous fluid of power-law type. The fluid is confined to a bounded planar domain surrounding an obstacle. For smooth perturbations of the shape of the obstacle we express the shape gradient of the cost function which can be subsequently used to improve the initial design.
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Sokołowski, J., Stebel, J. (2013). Shape Sensitivity Analysis of Incompressible Non-Newtonian Fluids. In: Hömberg, D., Tröltzsch, F. (eds) System Modeling and Optimization. CSMO 2011. IFIP Advances in Information and Communication Technology, vol 391. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36062-6_43
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DOI: https://doi.org/10.1007/978-3-642-36062-6_43
Publisher Name: Springer, Berlin, Heidelberg
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