Author(s)

R.A. Meric & R.H. Kul

Abstract

Differential and BIE formulations of optimal heating solids R.A. Meric, R.H. Kul Faculty of Aeronautics and Astronautics, Istanbul Technical University, Maslak, 80626 Istanbul, Turkey ABSTRACT Two types of sensitivity analysis methods are proposed for finding analytical sensitivity expressions of an integral objective functional in the case of optimal heating of solids. Basically, the adjoint variable method is utilized along with the differential heat equation and the corresponding BIE in the so-called differen- tial and integral sensitivity formulations, respectively. The discretizations of the primary and adjoint problems are performed using the BEM. Numerical results are first compared with analytical (exact) results for a 1-dim. annular cylinder problem. Solutions are also provided for the optimal cooling of a 2-dim. turbine blade. INTRODUCTION Efficient and accurate calculations of gradients of functional are very crucial for optimization problems, in general. If the

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