Numerical Approximation of Heat Transfer on Heterogenous Media. Issue 1 (18th November 2019)

• Record Type: Journal Article
• Authors: Scheuermann, Tobias M.; Kotyczka, Paul; Zanota, Marie-Line; Pitault, Isabelle; Louati, Haithem; Maschke, Bernhard
• Other Names: Eberhardsteiner J. guestEditor.; Schöberl M. guestEditor.
• Is Part Of: Proceedings in applied mathematics and mechanics. Volume 19:Issue 1(2019)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2019-11-18
• Subjects: Applied mathematics -- Periodicals; Engineering mathematics -- Periodicals; Mathematical physics -- Periodicals; 519
• DOI: 10.1002/pamm.201900372
• Languages: English
• ISSNs: 1617-7061

Abstract

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.