WIT Press


Using Spectral Methods, Reduction Techniques And Model Synthesis To Simulate Thermal Systems Behaviour

Price

Free (open access)

Paper DOI

10.2495/HT000391

Volume

27

Pages

10

Published

2000

Size

299 kb

Author(s)

G. Lefebvre & E. Palomo

Abstract

Using spectral method, reduction techniques and model synthesis to simulate thermal systems behaviour G. Lefebvre & E. Palomo - /LT - !Vf%V f an j A77 Abstract When all heat transfers which take place in a system can be described by equations that are linear versus the temperature field, the spectral expansion of the general heat operator offers a new interesting point of view on the thermal systems. Solving the thermal problem is then a calculation of coefficients (the modal state variables) which are the contributions of each eigen-mode to the temperature field evolution. The serie of eigen modes and the one of their corresponding eigenvalues are theoretically infinite. In practice they are calculated by diagonalising matrices resulting from the discretization of the general heat operator and the general boundary conditions operator on a spacing mesh using a finite volume, a finite difference, or a finite element method. It has been observed that only a few number

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