MODEL-REDUCTION IN NUMERICAL HEAT-TRANSFER PROBLEMS

Four recent model reduction schemes, namely, balanced truncation, sing ular perturbation balanced truncation, Hankel norm approximation, and H-infinity norm approximation are applied to a two-dimensional transie nt heat conduction problem. The approximations of these four model red uction methods for step response in temperature variation were compare d with the finite difference model. It is found that a substantial mod el order reduction for heat transfer problem is possible. The results are encouraging and attractive especially for the purpose of simulatio n and control problems.