Estimativa de Parâmetros e Solução de um Problema de Transferência de Calor Utilizando Métodos de Otimização Modificados

ABSTRACT

In this article, the estimation of parameters and the solution of a heat transfer problem is performed, where the numerical results are compared with experimental data obtained in the literature. The mathematical model is solved numerically using the Finite Difference Method (MDF) with implicit formulation. The parameters are estimated using the Luus-Jaakola (LJ) and Particle Collision Algorithm (PCA) stochastic optimization methods, as well as proposed modifications to the referred methods. The results obtained were satisfactory and the modifications presented a reduction in the number of objective function evaluations (NAF) necessary to find the parameters of interest, as well as allowing a good adjustment between the temperatures obtained experimentally and numerical results, motivating new applications in problems of same nature.

Keywords:
heat transfer; Finite Difference Methods; Luus-Jaakola; particle collision algorithm