SMAP-T2 is an advanced two-dimensional finite element computer program developed for the nonlinear heat conduction analysis. SMAP-T2 is an improved follow-on to the original Thermal Analysis Program (TEMP). The program has been applied to various types of heat conduction problems including longterm heat flow from the high-level nuclear waste repository, power requirements to freeze saturated backfilled soils to be used for egress/heat sinks, and design of freezing pipes.