Shape sensitivity analysis of time-dependent flows of incompressible non-Newtonian fluids

Details Shape sensitivity analysis of time-dependent flows of incompressible non-Newtonian fluids Shape sensitivity analysis of time-dependent flows of incompressible non-Newtonian fluids

2011-09-14

arxiv.org/abs/1109.3217v1

Mathematics

Analysis of PDEs

Scientific paper

We study the shape differentiability of a cost function for the 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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