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On the Computational Homogenization of Transient Diffusion Problems
Author(s) -
Kaessmair Stefan,
Steinmann Paul
Publication year - 2016
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201610253
Subject(s) - homogenization (climate) , microscale chemistry , representative elementary volume , transient (computer programming) , mechanics , statistical physics , computer science , materials science , finite element method , physics , mathematics , thermodynamics , ecology , mathematics education , biodiversity , biology , operating system
In this contribution, we address the computational treatment of transient diffusion problems with heterogeneous microstructures using first‐order homogenization. There, we treat two different cases, firstly, when the transient part at the microscale can be neglected due to the vanishingly small size of the representative volume element (RVE) and secondly, when no steady state is reached at the microscale. This is the case when dealing with a relaxed version of the scale separation condition. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)