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The Galerkin Lumped Parameter Method for Thermal Problems

[+] Author Affiliations
Alfredo Bermúdez, Francisco Pena

Universidade de Santiago de Compostela, Santiago de Compostela, Spain

Paper No. ESDA2012-83003, pp. 315-320; 6 pages
doi:10.1115/ESDA2012-83003
From:
  • ASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis
  • Volume 1: Advanced Computational Mechanics; Advanced Simulation-Based Engineering Sciences; Virtual and Augmented Reality; Applied Solid Mechanics and Material Processing; Dynamical Systems and Control
  • Nantes, France, July 2–4, 2012
  • Conference Sponsors: International
  • ISBN: 978-0-7918-4484-7
  • Copyright © 2012 by ASME

abstract

In this contribution, we present a method called Galerkin lumped parameter (GLP) method, as a generalization of the lumped parameter models used in engineering. This method can also be seen as a model-order reduction method. Similarities and differences are discussed. In the GLP method, introduced in [1], domain is decomposed into several sub-domains and a time-independent adapted reduced basis is calculated solving elliptic problems in each sub-domain. The method seeks a global solution in the space spanned by this basis, by solving an ordinary differential system. This approach is useful for electric motors, since the decomposition into several pieces is natural. Numerical results concerning heat equation are presented. Firstly, the comparison with an analytic solution is shown to check the implementation of the numerical algorithm. Secondly, the thermal behavior of an electric motor is simulated, assuming that the electric losses are known. A comparison with the solution obtained by the finite element method is shown.

Copyright © 2012 by ASME

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