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Computational Mechanics
Published in: Computational Mechanics 1/2015

01-01-2015 | Original Paper

Application of multilevel scheme and two level discretization for POD based model order reduction of nonlinear transient heat transfer problems

Authors: A. K. Gaonkar, S. S. Kulkarni

Published in: Computational Mechanics | Issue 1/2015

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Abstract

In the present paper, a method to reduce the computational cost associated with solving a nonlinear transient heat conduction problem is presented. The proposed method combines the ideas of two level discretization and the multilevel time integration schemes with the proper orthogonal decomposition model order reduction technique. The accuracy and the computational efficiency of the proposed methods is discussed. Several numerical examples are presented for validation of the approach. Compared to the full finite element model, the proposed method significantly reduces the computational time while maintaining an acceptable level of accuracy.
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Metadata
Title
Application of multilevel scheme and two level discretization for POD based model order reduction of nonlinear transient heat transfer problems
Authors
A. K. Gaonkar
S. S. Kulkarni
Publication date
01-01-2015
Publisher
Springer Berlin Heidelberg
Published in
Computational Mechanics / Issue 1/2015
Print ISSN: 0178-7675
Electronic ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-014-1089-y

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