Level-set topology optimization for effective control of transient conductive heat response using eigenvalue

Hyun, Jaeyub; Kim, H. Alicia

doi:10.1016/j.ijheatmasstransfer.2021.121374

Cited by 13 publications

(4 citation statements)

References 49 publications

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“…Our approach bears resemblances to the method suggested by Hyun and Kim (2021), which suggests the optimization of thermal response time with a substitute first eigenvalue maximization problem. However, substituting the initial value problem with an eigenvalue problem assumes that the fundamental eigenvalue is non-zero, which is not a requirement for the present formulation.…”

Section: Introductionmentioning

confidence: 98%

“…This assumption significantly simplifies the physics modeling by omitting the need for time-domain analysis of the system associated with initial value problems (IVP). There are, however, a range of applications where controlling the transient behavior of the thermal system is essential to achieve the design goals; hence, solving the problem as an IVP in the time domain becomes necessary (Zhuang et al 2013;Zhuang and Xiong 2014;Xiong 2015, Madsen et al 2016;Long et al 2018;Wu et al 2019, Zeng et al 2020Wu et al 2021;Hyun and Kim 2021;and Sun et al 2023). Solving time-domain gradient-based optimization problems has the computational challenge of requiring both forward and backward time stepping at each iteration to compute adjoint sensitivities Rousselet 1999a and1999b;and Gu et al 2002).…”

Section: Introductionmentioning

confidence: 99%

“…Further, while the eigenvalue problem may be cheaper to solve than solving the original transient problem, solving a harmonic problem is generally even cheaper. In contrast to Hyun and Kim (2021), we here also make a direct comparison and validation with results obtained by the original transient formulation.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Topology Optimization of Thermal Initial Value Problems Exploiting Efficient Harmonic Analysis

Işıklar,

Christiansen,

Sigmund

2024

Preprint

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Topology optimization can be employed to manipulate transient thermal behavior for heat transfer devices. As a gradient-based approach, transient topology optimization faces challenges with the CPU cost of the associated forward and backward time-stepping procedure. This study introduces a harmonic analysis-based substitute optimization method to alleviate these computational challenges. Using an analytical solution for a one-dimensional heat conduction problem, we derive a conversion coefficient linking harmonic excitation frequency to the desired transient time instance. Applying this harmonic formulation in the topology optimization of a two-dimensional transient heat conduction problem shows a remarkable speedup, around a factor of 20 per design iteration, with less than a 5% decrease (at most) in the figure of merit compared to the transient approach. Extending the study to include heat convection displays a stable region where the proposed harmonic substitute method sustains the same computational efficiency with less than a 10% difference for objective value comparison in the worst-case scenario.

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Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

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Topology Optimization of Thermal Initial Value Problems Exploiting Efficient Harmonic Analysis

Işıklar,

Christiansen,

Sigmund

2024

Preprint

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“…Also, the diffuse-interface methods are often employed for topology optimization because of their simple formulations with the additional forcing terms [38]- [40]. Indeed, our previous studies demonstrate that VPM can be combined with the continuous adjoint method to conduct shape optimization for incompressible steady laminar flow [41], unsteady turbulent flows [42], and radiative heat transfer [43]. Therefore, it is interesting to extend the shape optimization algorithm based on VPM to compressible flows.…”

Section: Introductionmentioning

confidence: 99%

Adjoint-based shape optimization for compressible flow based on volume penalization method

Liu,

Hasegawa

2024

Preprint

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Reducing the resistance of compressible flow around a blunt body is of great interest in engineering applications, while an efficient shape optimization method for compressible flows remains far from well established, especially for high Mach numbers. To this end, a volume penalization method for simulating compressible flows past a no-slip and isothermal solid is established by introducing an artificial body force and a heat sink into the governing equations. The level-set functions are introduced as design variables, and the cost functional is defined as the total drag acting on the solid. Then, a continuous adjoint-based shape optimization algorithm for drag reduction is developed by deriving the adjoint equations, the adjoint boundary conditions, and the shape update formula. Both the forward and adjoint simulations are verified by existing studies. The results show that the relative deviations of the drag coefficients obtained in the present study from those reported in the reference studies are around 5% at most, and also a comparable drag reduction rate and also optimal shapes can be reproduced by the present optimization scheme for benchmark problems at relatively low Mach numbers considered in previous studies. Finally, the present method is applied to shape optimization of an initially two-dimensional cylinder and also a three-dimensional sphere in the transonic regime of Ma∞ = 1.2. The drag reduction of over 20% is achieved for both two-dimensional and three-dimensional cases.

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Two-scale topology optimization for transient heat analysis in porous material considering the size effect of microstructure

Sukulthanasorn

Hoshiba

Nishiguchi

et al. 2022

Struct Multidisc Optim

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Level-set topology optimization for effective control of transient conductive heat response using eigenvalue

Cited by 13 publications

References 49 publications

Topology Optimization of Thermal Initial Value Problems Exploiting Efficient Harmonic Analysis

Topology Optimization of Thermal Initial Value Problems Exploiting Efficient Harmonic Analysis

Adjoint-based shape optimization for compressible flow based on volume penalization method

Two-scale topology optimization for transient heat analysis in porous material considering the size effect of microstructure

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