Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8902690 | Applied Numerical Mathematics | 2018 | 24 Pages |
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
Authors
Ta Thi Thanh Mai, Le Van Chien, Pham Ha Thanh,