Proceedings Vol. 14 (2008)
ENGINEERING MECHANICS 2008
May 12 – 15, 2008, Svratka, Czech Republic
Copyright © 2008 Institute of Thermomechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)
list of papers scientific commitee
pages 38 - +14p., full text
The paper contributes to solving optimal ﬂow 3D problems in the context of laminar incompressible ﬂows of Newtonian ﬂuid in rigid ducts. A stabilization of the ﬁnite element solution is required in case of problems of low viscosity (air) ﬂows. Analytical sensitivity formulae for extra terms originating from the stabilization of the ﬁnite element discretized Navier-Stokes equations are presented, since the analysis of ﬂow sensitivity to shape changes of a ﬂuid domain has a crucial inﬂuence on efﬁciency of a shape optimization algorithm. Preliminary numerical examples are shown, employing our theoretical results within a steepest descent optimization algorithm.
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