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