Impedance transformations and mesh coarsening in TLM heat flow modelling

Numerical models of multimaterial systems are often constrained by stiffness factors, which impede numerical efficiency. Thus, heat flow simulations in problems involving widely different thermal time constants can require excessively fine meshes, extremely small iteration time steps, or both. The transmission line matrix method is an unconditionally stable technique that uses a network of impedances and resistances to model thermal diffusion, This paper outlines a method by which these parameters can be transformed as a means of improving computational efficiency while maintaining compatibility with microscopic models.