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ISSN Online: 2377-424X

ISBN Print: 0-89116-130-9

International Heat Transfer Conference 6
August, 7-11, 1978, Toronto, Canada

METHODS FOE SOLVING INVERSE NON-LINEAR HEAT-CONDUCTION PROBLEMS

Get access (open in a dialog) DOI: 10.1615/IHTC6.330
pages 239-244

Аннотация

Methods for solving inverse non-linear problems on analogue and digital computers are discussed. Mathematical simulation method is used, in particular, to study heat-conduction inverse problems where heat exchange boundary conditions, for example, heat transfer coefficients on the surface of the sample, are determined with the help of special analogue devices given the data on the temperature field. To solve linear and non-linear inverse heat-conduction problems the optimum dynamic filtration technique is also used. Ways of improving the quality of the filter, which allow to significantly improve the accuracy of problem solutions, are suggested. An iterative modification of the filter is discussed where the Salman filter algorithm is repeatedly used at one time step. The problems of reconstructing the temperature field with the limited data on temperature at individual points are solved as well as the problems of identifying heat exchange boundary conditions and reconstructing the initial temperature field on the basis of the later information about it.