Numerical Approximation of Heat Transfer on Heterogenous Media
Tobias M. Scheuermann, Paul Kotyczka, Marie‐Line Zanota, Isabelle Pitault, Haithem Louati, Bernhard M. Maschke · PAMM · 2019
Abstract In this paper we show the discrete modeling of the heat equation on an open cell metallic foam, exploiting its geometric structure. The topology of the material is described using the incidence matrices of a so called k‐complex. Together with the discrete constitutive equations, a finite‐dimensional model in port‐Hamiltonian form is found.