Optimal design of a minimum weight thermal diffuser with constraint on the output thermal power flux
type: Item
instance of: scholarly article
title: Optimal design of a minimum weight thermal diffuser with constraint on the output thermal power flux
zbMATH Open document ID: 0558.49002
DOI: 10.1007/BF01460126
author: D. Kharzeev
published in: Applied Mathematics and Optimization
publication date: 1983-01-01T00:00:00Z
review text: This paper presents an application of the theory of optimal design to find the optimal shape of a minimum weight thermal diffuser with a priori specifications on the inward thermal power flux (TPP) and a bound on the outward T.P.F. The authors prove the differentiability of the scaled temperature with respect to the shape and from that deduce the Eulerian derivative of the cost function (the volume of the domain) and of the constraint. With these results, by introducing an appropriate adjoint system, a practical method of computation of the gradient of the associated penalized cost function is given. From a numerical point of view, the problem is approximated by a finite element method and the expression of the gradient for the approximate problem is obtained. Finally numerical results are presented.
reviewed by: Chr.Saguez
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 49M15
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35K10
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 93B40
Mathematics Subject Classification ID: 35R30
zbMATH DE Number: 3890222
zbMATH Keywords: optimal design
zbMATH Keywords: optimal shape
zbMATH Keywords: minimum weight thermal diffuser
zbMATH Keywords: Eulerian derivative
zbMATH Keywords: adjoint system
zbMATH Keywords: approximate problem
MaRDI profile type: Publication
cites work: Q4091004
cites work: Q4402368
cites work: Q4075304
full work available at URL: https://doi.org/10.1007/bf01460126
OpenAlex ID: W2274807828
description: scientific article; zbMATH DE number 3890222