Abstract

A particular inverse design problem is proposed as a benchmark for comparison of five solution techniques used in design of enclosures with radiating sources. The enclosure is three-dimensional and includes some surfaces that are diffuse and others that are specular diffuse. Two aspect ratios are treated. The problem is completely described, and solutions are presented as obtained by the Tikhonov method, truncated singular value decomposition, conjugate gradient regularization, quasi-Newton minimization, and simulated annealing. All of the solutions use a common set of exchange factors computed by Monte Carlo, and smoothed by a constrained maximum likelihood estimation technique that imposes conservation, reciprocity, and non-negativity. Solutions obtained by the various methods are presented and compared, and the relative advantages and disadvantages of these methods are summarized.

Issue Section:
Radiative Heat Transfer
Keywords:
inverse problems, heat radiation, singular value decomposition, conjugate gradient methods, minimisation, simulated annealing, Monte Carlo methods, maximum likelihood estimation
Topics:
Design, Simulated annealing, Temperature, Optimization

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 by American Society of Mechanical Engineers
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