A topology optimization method for a coupled thermal–fluid problem using level set boundary expressions

Yaji, Kentaro; Yamada, Takayuki; Kubo, Seiji; Izui, Kazuhiro; Nishiwaki, Shinji

doi:10.1016/j.ijheatmasstransfer.2014.11.005

Cited by 177 publications

(72 citation statements)

References 34 publications

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“…Yaji et al [103] utilized the level-set method to obtain the optimal design for a fully coupled thermo-fluidics problem. Tikhonov-based regularization scheme enabled the qualitative control for the geometric complexity of the generated structures.…”

Section: -2015mentioning

confidence: 99%

Heat Exchanger Design with Topology Optimization

Manuel¹,

Lin²

2017

Heat Exchangers - Design, Experiment and Simulation

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Topology optimization is proving to be a valuable design tool for physical systems, especially for structural systems. However, its application in the field of heat transfer is less evident but is constantly progressing. In this chapter, we would like to introduce topology optimization in the context of heat exchanger design to the general reader. We also provide a chronological review of available literature to see the current progress of topology optimization in the field of heat transfer and heat exchanger design. We expect that topology optimization will prove to be a valuable tool in heat exchanger design for the coming years.

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Section: -2015mentioning

confidence: 99%

Heat Exchanger Design with Topology Optimization

Manuel¹,

Lin²

2017

Heat Exchangers - Design, Experiment and Simulation

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“…For flow field design problems, Borrvall and Petersson [26] proposed a topology optimization method to minimize power dissipation in Stokes flow, and this has been expanded to laminar Navier-Stokes flow problems [27][28][29] and turbulence prob- lems [30,31]. The fluid topology optimization has been applied to multiphysics problems such as fluid-structure interaction problems [32,33], forced convection problems [34][35][36], natural convection problems [37][38][39] and turbulent heat transfer problems [40,41].…”

Section: Introductionmentioning

confidence: 99%

Computational design of flow fields for vanadium redox flow batteries via topology optimization

Chen

Yaji

Yamasaki

et al. 2019

Journal of Energy Storage

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“…Also, Morimoto et al (2010) presented a smoothed shape correction operation to avoid numerical unstable phenomenon of boundary shape in shape updating for shape design of heat exchanger. On the other hand, a study on the topology shape optimization of heat convection fields was shown in a review paper of Dbouk (2017), and topology shape optimization analyses using the adjoint variable method have recently been conducted on heat convection fields by Yaji et al (2015), Kametani and Hasegawa (2017a), and Alexandersen et al (2014). Yaji et al (2015) and Kametani and Hasegawa (2017a) optimized the topology of forced convection fields, while Alexandersen et al (2014) used the adjoint variable method to optimize the topology of natural convection fields.…”

Section: Introductionmentioning

confidence: 99%

“…On the other hand, a study on the topology shape optimization of heat convection fields was shown in a review paper of Dbouk (2017), and topology shape optimization analyses using the adjoint variable method have recently been conducted on heat convection fields by Yaji et al (2015), Kametani and Hasegawa (2017a), and Alexandersen et al (2014). Yaji et al (2015) and Kametani and Hasegawa (2017a) optimized the topology of forced convection fields, while Alexandersen et al (2014) used the adjoint variable method to optimize the topology of natural convection fields. In these cases, the analysis was limited to steady-state problems, but an analysis of unsteady-state problems has been performed recently (Coffin and Maute, 2016;Kametani and Hasegawa, 2017b) .…”

Section: Introductionmentioning

confidence: 99%

Shape design of heat convection fields based on the adjoint method

Katamine

2018

Mechanical Engineering Reviews

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The utilization of shape design to improve heat transfer characteristics in heat convection fields is an important subject in engineering. This review paper explains a numerical solution for the shape design problems involving steady and unsteady heat convection fields. Reshaping for the shape design is carried out by traction method, which is proposed as an approach to solving shape optimization problems. The traction method is a shape optimization method with some advantages such as deformation analysis of pseudo-elastic bodies can be used in the shape update analysis and smoothness in shape update can be maintained. In steady-state heat convection fields, shape design problems that control the temperature distribution in the sub-domains of the heat convection field are introduced. The square integration error between the actual temperature distribution and the target temperature distribution in the specified sub-domains is employed as the objective functional for the shape design. In unsteady heat convection fields, two shape design problems are shown; these problems also involve control of the temperature distribution in sub-domains of the field. In the first problem, in a manner similar to the steady-state problem, the square integration error of the sub-domains during the specified period of time is used as the objective functional. In the second problem, a multi-objective shape design problem that utilizes a normalized objective functional is formulated for the problem to prescribe the temperature distribution and the total dissipated energy minimization problem. The shape gradient of these shape design problems for steady and unsteady fields is derived theoretically using the Lagrange multiplier method, adjoint variable method, and the formulae of the material derivative. Numerical analysis programs for shape design problems using the traction method are developed, and the validity of the demonstrated method is confirmed by results of 2D numerical analyses.

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A topology optimization method for a coupled thermal–fluid problem using level set boundary expressions

Cited by 177 publications

References 34 publications

Heat Exchanger Design with Topology Optimization

Heat Exchanger Design with Topology Optimization

Computational design of flow fields for vanadium redox flow batteries via topology optimization

Shape design of heat convection fields based on the adjoint method

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