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Numerical Approximation of Heat Transfer on Heterogenous Media
Author(s) -
Scheuermann Tobias M.,
Kotyczka Paul,
Zanota Marie-Line,
Pitault Isabelle,
Louati Haithem,
Maschke Bernhard
Publication year - 2019
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201900372
Subject(s) - heat transfer , hamiltonian (control theory) , mathematics , numerical modeling , topology (electrical circuits) , mathematical analysis , mechanics , physics , mathematical optimization , combinatorics , statistics
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.