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Derivation of a continuous adjoint topology optimization method applied on heat transfer for incompressible flow

Ye, Yi ; Li, Xueying ; Ren, Jing and Sundén, Bengt LU (2023) In Numerical Heat Transfer; Part A: Applications 83(10). p.1067-1079
Abstract

With the development of additive manufacturing, the freedom in developing complex cooling structures has been enlarged greatly. Topology optimization is one of the methods that can give out cooling structures beyond the limits of geometric parameters. In this research, an algorithm of topology optimization with heat transfer is derived. The detailed optimization procedure is presented in this work. The basic assumptions of this optimization method are steady state, incompressible and frozen turbulent flow with constant physical properties. The governing equations, optimization sensitivity formula and boundary conditions are presented, which are essential to the implementation of this method. A detailed derivation process is included.... (More)

With the development of additive manufacturing, the freedom in developing complex cooling structures has been enlarged greatly. Topology optimization is one of the methods that can give out cooling structures beyond the limits of geometric parameters. In this research, an algorithm of topology optimization with heat transfer is derived. The detailed optimization procedure is presented in this work. The basic assumptions of this optimization method are steady state, incompressible and frozen turbulent flow with constant physical properties. The governing equations, optimization sensitivity formula and boundary conditions are presented, which are essential to the implementation of this method. A detailed derivation process is included. This method is applied in a 2-D flow domain using an open-source platform named OpenFOAM.

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Please use this url to cite or link to this publication:
author
; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Continuous adjoint method, heat transfer, topology optimization
in
Numerical Heat Transfer; Part A: Applications
volume
83
issue
10
pages
1067 - 1079
publisher
Taylor & Francis
external identifiers
  • scopus:85135044296
ISSN
1040-7782
DOI
10.1080/10407782.2022.2102348
language
English
LU publication?
yes
id
2ba4348b-6d82-4b92-a597-288568a509c4
date added to LUP
2022-09-12 15:02:06
date last changed
2023-11-21 11:17:00
@article{2ba4348b-6d82-4b92-a597-288568a509c4,
  abstract     = {{<p>With the development of additive manufacturing, the freedom in developing complex cooling structures has been enlarged greatly. Topology optimization is one of the methods that can give out cooling structures beyond the limits of geometric parameters. In this research, an algorithm of topology optimization with heat transfer is derived. The detailed optimization procedure is presented in this work. The basic assumptions of this optimization method are steady state, incompressible and frozen turbulent flow with constant physical properties. The governing equations, optimization sensitivity formula and boundary conditions are presented, which are essential to the implementation of this method. A detailed derivation process is included. This method is applied in a 2-D flow domain using an open-source platform named OpenFOAM.</p>}},
  author       = {{Ye, Yi and Li, Xueying and Ren, Jing and Sundén, Bengt}},
  issn         = {{1040-7782}},
  keywords     = {{Continuous adjoint method; heat transfer; topology optimization}},
  language     = {{eng}},
  number       = {{10}},
  pages        = {{1067--1079}},
  publisher    = {{Taylor & Francis}},
  series       = {{Numerical Heat Transfer; Part A: Applications}},
  title        = {{Derivation of a continuous adjoint topology optimization method applied on heat transfer for incompressible flow}},
  url          = {{http://dx.doi.org/10.1080/10407782.2022.2102348}},
  doi          = {{10.1080/10407782.2022.2102348}},
  volume       = {{83}},
  year         = {{2023}},
}