Premium
Model order reduction for thermomechanical problems including radiation
Author(s) -
Rother Stephan,
Beitelschmidt Michael
Publication year - 2017
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201710243
Subject(s) - krylov subspace , reduction (mathematics) , computation , thermal , thermal radiation , dimension (graph theory) , subspace topology , constant (computer programming) , transient (computer programming) , radiation , nonlinear system , heat exchanger , matrix (chemical analysis) , mathematics , mechanics , computer science , materials science , mathematical optimization , mathematical analysis , thermodynamics , physics , algorithm , iterative method , geometry , optics , composite material , programming language , operating system , quantum mechanics , pure mathematics
Abstract Thermal field problems including heat exchange by radiation lead to nonlinear system equations with a high number of inputs and outputs as radiation heat fluxes correspond to the fourth power of the temperature and thermal loads are distributed over the whole surface. In an alternative approach presented here, radiation is defined as a part of the load vector. Thus, the system matrices are constant. Furthermore, loads changing synchronously during operation are grouped into one column of the input matrix and load vector snapshots are used to consider the radiation heat fluxes. Hence, the Krylov Subspace Method can be applied to significantly reduce the system dimension and the computation times allowing transient thermal parameter studies. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)