论文信息 - Topological Sensitivity and Shape Optimization for the Stokes Equations

Topological Sensitivity and Shape Optimization for the Stokes Equations

The topological sensitivity analysis provides an asymptotic expansion of a shape function with respect to the insertion of a small hole or obstacle inside a domain. This expansion can then be used for shape optimization. In this paper, such an expansion is obtained for the Stokes equations with general shape functions and arbitrarily shaped holes. A numerical example illustrates the use of the topological sensitivity in a shape optimization problem.

Ph. Guillaume | K. Sid Idris | Philippe Guillaume | K. Idris

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