Low-order empirical modeling of distributed parameter systems using temporal and spatial eigenfunctions

Leonidas G. Bleris, Mayuresh V. Kothare

Research output: Contribution to journalArticle

Abstract

We provide a methodology for retrieving spatial and temporal eigenfunctions from an ensemble of data, using Proper Orthogonal Decomposition (POD). Focusing on a Newtonian fluid flow problem, we illustrate that the efficiency of these two families of eigenfunctions can be different when used in model reduction projections. The above observation can be of critical importance for low-order modeling of Distributed Parameter Systems (DPS) in on-line control applications, due to the computational savings that are introduced. Additionally, for the particular fluid flow problem, we introduce the use of the entropy of the data ensemble as the criterion for choosing the appropriate eigenfunction family.

Original languageEnglish (US)
Pages (from-to)817-827
Number of pages11
JournalComputers and Chemical Engineering
Volume29
Issue number4
DOIs
StatePublished - Mar 15 2005
Externally publishedYes

Fingerprint

Eigenvalues and eigenfunctions
Flow of fluids
Entropy
Decomposition

Keywords

  • Distributed parameter systems
  • Eigenfunctions
  • Empirical modeling

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Control and Systems Engineering

Cite this

Low-order empirical modeling of distributed parameter systems using temporal and spatial eigenfunctions. / Bleris, Leonidas G.; Kothare, Mayuresh V.

In: Computers and Chemical Engineering, Vol. 29, No. 4, 15.03.2005, p. 817-827.

Research output: Contribution to journalArticle

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