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Erschienen in:
2011 | OriginalPaper | Buchkapitel
Shape Determination of the Rigid Body Located in Incompressible Flow
verfasst von : Jun-Ping Zhao
Erschienen in: Advanced Research on Computer Science and Information Engineering
Verlag: Springer Berlin Heidelberg
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The purpose of this paper is to investigate the shape determination of a rigid body located in incompressible fluid flow in two dimensions. This state problem is controlled by the Stokes equations. The derivative of the cost functional is given by an adjiont method. The level set method is successfully utilized as the minimization algorithm. Since the level set method is implemented in an Eulerian framework, the computational cost is moderate. Finally, a numerical example is presented to illustrate the effectiveness and validity of the proposed algorithm.