Engineering Mechanics

International Conference

Proceedings Vol. 12 (2006)


ENGINEERING MECHANICS 2006

NATIONAL CONFERENCE WITH INTERNATIONAL PARTICIPATION
May 15 – 18, 2006, Svratka, Czech Republic
;
Editors: Jiří Náprstek and Cyril Fischer

Copyright © 2006 Institute of Theoretical and Applied Mechanics, Academy of Sciences of the Czech Republic, Prague

ISBN 80-86246-27-2 (printed, Extended Abstracts)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)

list of papers scientific commitee

Shape sensitivity analysis for flow optimization in closed channels
E. Rohan, R. Cimrman
pages 316 - +12p., full text

The paper deals with the shape sensitivity analysis of the steady viscous incompressible fluid flow in a curved closed channel. The objective function which is analyzed is aimed at reducing nonuniformity of the outlet stream. The geometry of the channel is embedded in a 3D domain parametrized by splines, so that it is handled using positions of control points. This allows for simple computing the design velocity field defined inside the channel and involved in the sensitivity formulae derived using the material derivative and adjoint system technique. The sensitivity algorithm can be employed in gradient-based optimization of the channel shape. Some numerical examples are presented to illustarte performance of the implemented sensitivity formuale.


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