Proceedings Vol. 12 (2006)
ENGINEERING MECHANICS 2006
May 15 – 18, 2006, Svratka, Czech Republic
Copyright © 2006 Institute of Theoretical and Applied Mechanics, Academy of Sciences of the Czech Republic, Prague
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)
list of papers scientific commitee
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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