Jv. Daurelle et al., FINITE-ELEMENT MODELING OF RADIATION HEAT-TRANSFER COUPLED WITH CONDUCTION IN AN ADAPTIVE METHOD, Numerical heat transfer. Part B, Fundamentals, 25(1), 1994, pp. 61-73
The study deals with the finite-element modeling of radiation coupled
with diffusion heat transfer. In many engineering problems, radiation
occurs at the field boundary, where transfer is purely conductive. Tra
ditional resolutions of such problems use the lumped radiosity method
by delimiting the field into isothermal surfaces. This isothermal assu
mption implies the use of very refined meshes. An alternative simple m
ethod suppresses this isothermal restriction by integrating the Fredho
lm integral from directly slower but more accurate. In this work we pr
esent a hybrid method that uses both approaches, isothermal approximat
ion and direct integration. This leads to a faster method that is easy
to introduce into a finite-element code.