Heat Source Estimation with the Conjugate Gradient Method in Inverse Linear Diffusive Problems



Document title: Heat Source Estimation with the Conjugate Gradient Method in Inverse Linear Diffusive Problems
Journal: Journal of the Brazilian Society of Mechanical Sciences
Database: PERIÓDICA
System number: 000312096
ISSN: 0100-7386
Authors: 1
Institutions: 1Universidade Federal do Rio de Janeiro, Programa de Engenharia Nuclear, Rio de Janeiro. Brasil
Year:
Volumen: 23
Number: 3
Pages: 321-334
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Experimental
English abstract In this work, we present the solution of a class of linear inverse heat conduction problems for the estimation of unknown heat source terms, with no prior information of the functional forms of timewise and spatial dependence of the source strength, using the conjugate gradient method with an adjoint problem. After describing the mathematical formulation of a general direct problem and the procedure for the solution of the inverse problem, we show applications to three transient heat transfer problems: a one-dimensional cylindrical problem; a two-dimensional cylindrical problem; and a one-dimensional problem with two plates
Disciplines: Física y astronomía
Keyword: Termodinámica y física estadística,
Conducción de calor,
Problemas inversos,
Método del gradiente conjugado,
Problema adjunto
Keyword: Physics and astronomy,
Thermodynamics and statistical physics,
Heat conduction,
Inverse problems,
Conjugate gradient method,
Adjoint problem
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