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Model Order Reduction of a Heat Exchanger Model
KTH, School of Computer Science and Communication (CSC), Numerical Analysis and Computer Science, NADA.
2005 (English)Report (Other academic)
Abstract [en]

A nonlinear PDAE model of a heat exchanger is described. A Krylov based momentmatching method, balanced truncation, and Galerkin projection onto a POD basis areused for generating reduced order models of the nonlinear DAE obtained after discretisationin space, and the results are compared with those from a physically motivatedlumping method.

Place, publisher, year, edition, pages
Stockholm: KTH , 2005. , 11 p.
Series
Trita-NA, ISSN 0348-2952 ; 0521
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-5860OAI: oai:DiVA.org:kth-5860DiVA: diva2:10377
Note

QC 20101013

Available from: 2005-08-30 Created: 2005-08-30 Last updated: 2012-10-01Bibliographically approved
In thesis
1. Model Order Reduction with Rational Krylov Methods
Open this publication in new window or tab >>Model Order Reduction with Rational Krylov Methods
2005 (English)Doctoral thesis, comprehensive summary (Other scientific)
Abstract [en]

Rational Krylov methods for model order reduction are studied. A dual rational Arnoldi method for model order reduction and a rational Krylov method for model order reduction and eigenvalue computation have been implemented. It is shown how to deflate redundant or unwanted vectors and how to obtain moment matching. Both methods are designed for generalised state space systems---the former for multiple-input-multiple-output (MIMO) systems from finite element discretisations and the latter for single-input-single-output (SISO) systems---and applied to relevant test problems. The dual rational Arnoldi method is designed for generating real reduced order systems using complex shift points and stabilising a system that happens to be unstable. For the rational Krylov method, a forward error in the recursion and an estimate of the error in the approximation of the transfer function are studie.

A stability analysis of a heat exchanger model is made. The model is a nonlinear partial differential-algebraic equation (PDAE). Its well-posedness and how to prescribe boundary data is investigated through analysis of a linearised PDAE and numerical experiments on a nonlinear DAE. Four methods for generating reduced order models are applied to the nonlinear DAE and compared: a Krylov based moment matching method, balanced truncation, Galerkin projection onto a proper orthogonal decomposition (POD) basis, and a lumping method.

Place, publisher, year, edition, pages
Stockholm: KTH, 2005. v, 21 p.
Series
Trita-NA, ISSN 0348-2952 ; 0522
Keyword
Model order reduction, dual rational Arnoldi, rational Krylov, moment matching, eigenvalue computation, stability analysis, heat exchanger model
National Category
Computational Mathematics
Identifiers
urn:nbn:se:kth:diva-401 (URN)91-7178-126-9 (ISBN)
Public defence
2005-09-26, Salongen, KTHB, Osquars backe 31, Stockholm, 10:15
Opponent
Supervisors
Note
QC 20101013Available from: 2005-08-30 Created: 2005-08-30 Last updated: 2010-10-13Bibliographically approved

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Citation style
  • apa
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Output format
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  • asciidoc
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