The shape gradient of the least-squares objective functional in optimal shape design problems of radiative heat transfer

Rukolaine, Sergey A.

doi:10.1016/j.jqsrt.2010.06.016

Cited by 9 publications

(2 citation statements)

References 20 publications

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“…Monte-Carlo methods are preferred for complex geometry process simulations where radiative transfer is preponderant [1]. Optimization methods, such as the gradient descent method, can provide information on a local extremum, and stochastic methods (genetic algorithms, particle swarm optimization) can inform on a global extremum [2][3][4]. In any case, the derivative of J( π) with respect to π is a valuable piece of information for the optimization of engineering processes.…”

Section: Introductionmentioning

confidence: 99%

Monte-Carlo and Domain-Deformation Sensitivities

Lapeyre

Blanco

Caliot

et al. 2019

Proceeding of Proceedings of the 9th International Symposium on Radiative Transfer, RAD-19

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We address the question of evaluating shape derivatives of objective functions for radiative-transfer engineering involving semi-transparent media. After recalling the standard Monte-Carlo approach to sensitivity estimation and its current limitations, a new method is presented for the specific case of geometrical sensitivities. This method is then tested in a square cavity filled by a multiple-scattering and absorbing (non-emitting) semi-transparent medium, irradiated by an emissive cylinder. A new geometrical sensitivity algorithm is presented with full genericity in order to allow its future implementation in complex geometries.

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Section: Introductionmentioning

confidence: 99%

Monte-Carlo and Domain-Deformation Sensitivities

Lapeyre

Blanco

Caliot

et al. 2019

Proceeding of Proceedings of the 9th International Symposium on Radiative Transfer, RAD-19

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“…Some relevant issues were published in [1][2][3]. A similar topic is adresses Rukolaine [4], whose work presents the possibility of optimal shape design related to radiative heat transfer. In [4] work the inverse problem is reduced by a least squares objective functional to an optimised one.…”

Section: Introductionmentioning

confidence: 99%

Simulation of Radiative Heat Flux Distribution Under an Infrared Heat Emitter

Loufek

Královcová

2015

Acta Polytech

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<p>The article deals with a heat radiation model used for heat flux calculation of an infrared heater. In general, we consider a system consisting of a set of objects, whereas a single object could stand for a heater, a reflector or a heated body. Each of the objects is defined by its bounding surface. The presented model applies a 2D restriction of the real system. The aim of a particular simulation is to obtain a heat flux distribution all over the heated body under given conditions such as objects temperature and material properties. Furthermore, the implemented model is used to design a reflector profile to obtain a desired heat flux distribution. The paper presents the implemented model, a comparison of simulated and measured data and an example of reflector design.</p>

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Adjoint-based shape optimization for radiative transfer using level-set function and volume penalization method

Liu

Hasegawa

2023

International Journal of Heat and Mass Transfer

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The shape gradient of the least-squares objective functional in optimal shape design problems of radiative heat transfer

Cited by 9 publications

References 20 publications

Monte-Carlo and Domain-Deformation Sensitivities

Monte-Carlo and Domain-Deformation Sensitivities

Simulation of Radiative Heat Flux Distribution Under an Infrared Heat Emitter

Adjoint-based shape optimization for radiative transfer using level-set function and volume penalization method

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