Modal reduction for a problem of heat transfer with radiation in an enclosure

Olivier Quemener , B. Gaume (1) , F. Joly (2) , O. Quéméner

1 LMEE - Laboratoire de Mécanique et d'Energétique d'Evry
2 U773

We propose an original method to reduce a radiation dominated heat transfer problem. To that end, the Amalgam Reduced Order Modal Model (AROMM) method, which preserves the integrity of the geometry, is coupled to the classical radiosity method. The treated application is a complex titanium piece heated by two radiant panels placed in a furnace. The AROMM method reduces by a factor 100 the computation time needed to obtain the solution, while keeping an average error below 0.1%. These very good performances open the way for control or identification procedure in a reasonable time for these kind of applications.

Keywords: Reduced model; Modal reduction; Finite elements; Radiosity; Thermal radiation; Industrial furnace

Domains: Thermics [physics.class-ph]

Olivier Quemener, B. Gaume, F. Joly, O. Quéméner. Modal reduction for a problem of heat transfer with radiation in an enclosure. International Journal of Heat and Mass Transfer, In press, 141, pp.779-788. ⟨10.1016/j.ijheatmasstransfer.2019.07.039⟩. ⟨hal-02418965⟩