期刊
APPLIED NUMERICAL MATHEMATICS
卷 126, 期 -, 页码 160-179出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.apnum.2017.12.009
关键词
Shape optimization; Sensitivity analysis; Shape derivative and Stokes equations
资金
- Hanoi University of Science and Technology (HUST) [T2017-PC-070]
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. (C) 2017 IMACS. Published by Elsevier B.V. All rights reserved.
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