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Hybrid Methods in Engineering

ISSN Imprimer: 1099-2391
ISSN En ligne: 2641-7359

Archives: Volume 1, 1999 to Volume 4, 2002

Hybrid Methods in Engineering

DOI: 10.1615/HybMethEng.v3.i2-3.70
14 pages

SOLUTION OF HEAT CONDUCTION PROBLEMS WITH DISCONTINUITIES VIA INTEGRAL TRANSFORMS

Humberto Araujo Machado
Institute de Aeronautica e Espaco − IAE Pg. Mal. Eduardo Gomes, 50, Vila das Acacias 12228-904, Sao Jose dos Campos, SP, Brazil; Universidade do Estado do Rio de Janeiro − UERJ, Faculdade de Tecnologia − FAT, Rodovia Presidente Dutra km 298 - Polo Industrial, 27537-000, Resende, RJ, Brazil
Lucilia Batista Dantas
Research and Development Institute, IP&D / UNIVAP, Av. Shishima Hifumi, 2911, 12244-000, Sao Josedos Campos - SP; Mechanical Engineering Department, EE/COPPE, Universidade Federal do Rio de Janeiro, Brasil

RÉSUMÉ

In some important engineering applications of the transport equations, it is common to find discontinuities of several types within the domain. Such discontinuities demand specific treatment by the majority of numerical methods, as coordinate transformation, grid refinement, etc. In this work, the generalized integral transform technique (GITT) is employed to solve two kinds of discontinuities inside a square: variable properties and a localized source term. The treatment used allows the analytical characteristics of the solution to be kept, adding to the conventional GITT approach the indicating function, which defines the presence of the discontinuity.


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