An Iterative Method for Shape Optimal Design of Stokes–Brinkman Equations with Heat Transfer Model
Joint Authors
Yan, Wenjing
Jing, Feifei
Hou, Jiangyong
Gao, Zhiming
Zheng, Nannan
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-29
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This work is concerned with the shape optimal design of an obstacle immersed in the Stokes–Brinkman fluid, which is also coupled with a thermal model in the bounded domain.
The shape optimal problem is formulated and analyzed based on the framework of the continuous adjoint method, with the advantage that the computing cost of the gradients and sensitivities is independent of the number of design variables.
Then, the velocity method is utilized to describe the domain deformation, and the Eulerian derivative for the cost functional is established by applying the differentiability of a minimax problem based on the function space parametrization technique.
Moreover, an iterative algorithm is proposed to optimize the boundary of the obstacle in order to reduce the total dissipation energy.
Finally, numerical examples are presented to illustrate the feasibility and effectiveness of our method.
American Psychological Association (APA)
Yan, Wenjing& Jing, Feifei& Hou, Jiangyong& Gao, Zhiming& Zheng, Nannan. 2020. An Iterative Method for Shape Optimal Design of Stokes–Brinkman Equations with Heat Transfer Model. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1202216
Modern Language Association (MLA)
Yan, Wenjing…[et al.]. An Iterative Method for Shape Optimal Design of Stokes–Brinkman Equations with Heat Transfer Model. Mathematical Problems in Engineering No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1202216
American Medical Association (AMA)
Yan, Wenjing& Jing, Feifei& Hou, Jiangyong& Gao, Zhiming& Zheng, Nannan. An Iterative Method for Shape Optimal Design of Stokes–Brinkman Equations with Heat Transfer Model. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1202216
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1202216