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EVALUATION OF THE USE OF CONSTRAINTS IN STEP-BY-STEP ALGORITHMS FOR THE SOLUTION OF A 2D INVERSE HEAT TRANSFER PROBLEM

Rodrigo Vidonscky Pinto, Flávio Augusto Sanzovo Fiorelli
Frontiers in Heat and Mass Transfer (FHMT) 19 - 30 (2022)


Abstract


The present paper provides a discussion about the use of constraints in step-by-step optimization algorithms used for the solution of a two-dimensional inverse heat transfer problem containing a modeling error. It is observed that the unrestricted algorithms provided better estimates to the power map and the introduction of constraints is harmful to the solution of the inverse heat transfer problem, reducing the area in which this solution approaches the actual heat sources distribution, due to the solution of the unrestricted problem adopting negative values in restricted areas, which compensate the high sensitivity of this problem and consequently provide improved solutions.

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DOI: http://dx.doi.org/10.5098/hmt.19.30

ISSN: 2151-8629