Engineering Mechanics

International Conference

Proceedings Vol. 14 (2008)


ENGINEERING MECHANICS 2008

NATIONAL CONFERENCE WITH INTERNATIONAL PARTICIPATION
May 12 – 15, 2008, Svratka, Czech Republic
;
Editors: Vladimír Fuis and Michal Pásek

Copyright © 2008 Institute of Thermomechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague

ISBN 978-80-87012-11-6 (printed)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)

list of papers scientific commitee

SHAPE SENSITIVITY ANALYSIS FOR STABILIZED NAVIER-STOKES EQUATIONS
Cimrman R., Rohan E.
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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All papers were reviewed by members of the scientific committee.


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