FINITE-ELEMENT ANALYSIS OF HEAT-TRANSFER AND FLOW PROBLEMS USING ADAPTIVE REMESHING INCLUDING APPLICATION TO SOLIDIFICATION PROBLEMS

An error estimation technique for adaptive finite element analysis of heat conduction problems is described. The performance of this technique is demonstrated using a two-dimensional steady-state linear benchmark problem with a known analytical solution. A transient non-linear heat conduction problem involving solidification is then solved as a typical practical application. Some preliminary investigations for error indicators in flow problems are presented.