Model reduction in numerical heat transfer problems

Ahmet Z. Şahin; Davut Kavranoǧlu; Maamar Bettayeb

doi:10.1016/0096-3003(94)00128-Q

Model reduction in numerical heat transfer problems

Ahmet Z. Şahin^*
, Davut Kavranoǧlu
, Maamar Bettayeb

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Four recent model reduction schemes, namely, balanced truncation, singular perturbation balanced truncation, Hankel norm approximation, and H_∞ norm approximation are applied to a two-dimensional transient heat conduction problem. The approximations of these four model reduction methods for step response in temperature variation were compared with the finite difference model. It is found that a substantial model order reduction for heat transfer problem is possible. The results are encouraging and attractive especially for the purpose of simulation and control problems.

Original language	English
Pages (from-to)	209-225
Number of pages	17
Journal	Applied Mathematics and Computation
Volume	69
Issue number	2-3
DOIs	https://doi.org/10.1016/0096-3003(94)00128-Q
State	Published - May 1995

Bibliographical note

Funding Information:
The authors wish to acknowledge the support provided by King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia for this

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/0096-3003(94)00128-Q

Cite this

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title = "Model reduction in numerical heat transfer problems",

abstract = "Four recent model reduction schemes, namely, balanced truncation, singular perturbation balanced truncation, Hankel norm approximation, and H∞ norm approximation are applied to a two-dimensional transient heat conduction problem. The approximations of these four model reduction methods for step response in temperature variation were compared with the finite difference model. It is found that a substantial model order reduction for heat transfer problem is possible. The results are encouraging and attractive especially for the purpose of simulation and control problems.",

author = "{\c S}ahin, \{Ahmet Z.\} and Davut Kavranoǧlu and Maamar Bettayeb",

note = "Funding Information: The authors wish to acknowledge the support provided by King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia for this",

year = "1995",

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doi = "10.1016/0096-3003(94)00128-Q",

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AU - Şahin, Ahmet Z.

AU - Kavranoǧlu, Davut

AU - Bettayeb, Maamar

N1 - Funding Information: The authors wish to acknowledge the support provided by King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia for this

PY - 1995/5

Y1 - 1995/5

N2 - Four recent model reduction schemes, namely, balanced truncation, singular perturbation balanced truncation, Hankel norm approximation, and H∞ norm approximation are applied to a two-dimensional transient heat conduction problem. The approximations of these four model reduction methods for step response in temperature variation were compared with the finite difference model. It is found that a substantial model order reduction for heat transfer problem is possible. The results are encouraging and attractive especially for the purpose of simulation and control problems.

AB - Four recent model reduction schemes, namely, balanced truncation, singular perturbation balanced truncation, Hankel norm approximation, and H∞ norm approximation are applied to a two-dimensional transient heat conduction problem. The approximations of these four model reduction methods for step response in temperature variation were compared with the finite difference model. It is found that a substantial model order reduction for heat transfer problem is possible. The results are encouraging and attractive especially for the purpose of simulation and control problems.

UR - https://www.scopus.com/pages/publications/58149210198

U2 - 10.1016/0096-3003(94)00128-Q

DO - 10.1016/0096-3003(94)00128-Q

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EP - 225

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2-3

ER -

Model reduction in numerical heat transfer problems

Abstract

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ASJC Scopus subject areas

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