We describe a numerical computation, based on the finite element metho
d, of an experiment simulating a particular failure of a reactor press
ure vessel, a core melt accident in which the vessel melts. We investi
gate this melt-through as it occurs in a steel crucible. We found that
a crucial parameter in the definition of the failure sequence is the
build-up of heat-driven flows. To characterize the expected natural co
nvection flow patterns, a number of additional, small-scale experiment
s were performed. We present results from calculations on both these s
ets of experiments and compare them with the presently available measu
rements.