D. Pelletier et al., ADAPTIVE REMESHING FOR CONVECTIVE HEAT-TRANSFER WITH VARIABLE FLUID PROPERTIES, Journal of thermophysics and heat transfer, 8(4), 1994, pp. 687-694
This article presents an adaptive finite element method based on remes
hing to solve incompressible viscous flow problems for which fluid pro
perties present a strong temperature dependence. Solutions are obtaine
d in primitive variables using a highly accurate finite element approx
imation on unstructured grids. Two general purpose error estimators ar
e presented, which take into account the temperature dependence of flu
id properties. The methodology is applied to a problem of practical in
terest: the thermal convection of corn syrup in an enclosure with loca
lized heating. Predictions are in good agreement with experimental mea
surements. The method leads to improved accuracy and reliability of fi
nite element predictions.