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Shape Sensitivity Analysis of Incompressible Non-Newtonian Fluids

Jan Sokolowski 1 Jan Stebel 2
1 UL - Université de Lorraine
2 IM / CAS - Institute of Mathematics of the Czech Academy of Science
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.
Keywords : shape optimization shape gradient incompressible fluid non-Newtonian fluid Navier-Stokes equations
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IFIP | IFIP-AICT | IFIP-TC | IFIP-TC7 | IFIP-CSMO | IFIP-AICT-391 | UNIV-LORRAINE

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Jan Sokolowski, Jan Stebel. Shape Sensitivity Analysis of Incompressible Non-Newtonian Fluids. 25th System Modeling and Optimization (CSMO), Sep 2011, Berlin, Germany. pp.427-436, ⟨10.1007/978-3-642-36062-6_43⟩. ⟨hal-01347565⟩

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