REVERSE TIME TLM MODELING OF THERMAL PROBLEMS DESCRIBED BY THE HYPERBOLIC HEAT CONDUCTION EQUATION

Abstract

A method for reverse-time transmission line matrix (TLM) modeling of thermal diffusion problems described by the hyperbolic heat conduction equation is presented. The method involves pulse scattering governed by the inverse of the usual scattering matrix. Consideration is given to the accuracy of the reverse time method by comparison with the forward scatter. The numerical behavior of the reverse-time algorithm is investigated, and related to the amplification factor of the inverse scattering matrix.