The application of adjoint method for shape optimization in Stokes–Oseen flow |
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| Authors: | Wenjing Yan Zhiming Gao |
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| Affiliation: | 1. School of Mathematics and Statistics, Xi'an Jiaotong University, Shaanxi, China;2. Institute of Applied Physics and Computational Mathematics, China |
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| Abstract: | This paper presents a numerical method for shape optimization of a body immersed in an incompressible viscous flow governed by Stokes–Oseen equations. The purpose of this work is to optimize the shape that minimizes a given cost functional. Based on the continuous adjoint method, the shape gradient of the cost functional is derived by involving a Lagrangian functional with the function space parametrization technique. Then, a gradient‐type algorithm is applied to the shape optimization problem. The numerical examples indicate the proposed algorithm is feasible and effective in low Reynolds number flow. Copyright © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | shape optimization adjoint method Stokes– Oseen equations shape gradient gradient‐type algorithm |
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