Shape sensitivity analysis for flow optimization in closed channels

Abstract eng:
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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