Shape sensitivity analysis of incompressible non-Newtonian fluids

0391950 - MÚ 2014 RIV DE eng C - Conference Paper (international conference)
Sokolowski, J. - Stebel, Jan
Shape sensitivity analysis of incompressible non-Newtonian fluids.
System Modeling and Optimization. Berlin: Springer, 2013 - (Hömberg, D.; Tröltzsch, F.), s. 427-436. IFIP Advances in Information and Communication Technology, 391. ISBN 978-3-642-36061-9.
[IFIP TC7 Conference on System Modelling and Optimization /21./. Berlin (DE), 12.09.2011-16.09.2011]
R&D Projects: GA ČR GA201/09/0917
Institutional support: RVO:67985840
Keywords : incompressible fluid * non-Newtonian fluid * implicit constitutive relation * finite element method
Subject RIV: BA - General Mathematics
http://link.springer.com/chapter/10.1007%2F978-3-642-36062-6_43

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.
Permanent Link: http://hdl.handle.net/11104/0220905