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Technical Briefs

Boundary-Condition-Independent Reduced-Order Modeling of Heat Transfer in Complex Objects by POD-Galerkin Methodology: 1D Case Study

[+] Author and Article Information
Arun P. Raghupathy, Urmila Ghia, Karman Ghia

Computational Fluid Dynamics Research Laboratory, University of Cincinnati, Cincinnati, OH 45221-0072

William Maltz

 Electronic Cooling Solutions, Inc., Mountain View, CA 94043

J. Heat Transfer 132(6), 064502 (Apr 01, 2010) (4 pages) doi:10.1115/1.4000945 History: Received October 16, 2008; Revised December 07, 2009; Published April 01, 2010; Online April 01, 2010

This technical note presents an introduction to boundary-condition-independent reduced-order modeling of complex electronic components using the proper orthogonal decomposition (POD)-Galerkin approach. The current work focuses on how the POD methodology can be used along with the finite volume method to generate reduced-order models that are independent of their boundary conditions. The proposed methodology is demonstrated for the transient 1D heat equation, and preliminary results are presented.

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Copyright © 2010 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

POD and CFD solutions for a right side temperature of 60°C using six POD basis vectors from only 0°C solution

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Figure 2

POD and CFD solution for a right side temperature of 60°C using six POD basis vectors from both 0°C and 80°C solutions

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Figure 3

CFD solution compared with six POD basis vectors for a left side temperature of 25°C

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Figure 4

Eigenvalue spectrum of case 4

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Figure 5

CFD solution compared with 12 POD basis vectors for both ends at fixed

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Figure 6

CFD solution compared with 12 POD basis for left end at −20°C and right end at 200°C temperature of 0°C

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