Article ID Journal Published Year Pages File Type
8902690 Applied Numerical Mathematics 2018 24 Pages PDF
Abstract
In the context of structural optimization in fluid mechanics we propose a numerical method based on a combination of the classical shape derivative and Hadamard's boundary variation method. Our approach regards the viscous flows governed by Stokes equations with the objective function of energy dissipation and a constrained volume. The shape derivative is computed by Lagrange's approach via the solutions of Stokes and adjoint systems. The programs are written in FreeFem++ using the Finite Element method.
Related Topics
Physical Sciences and Engineering Mathematics Computational Mathematics
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