A new method for the solution of multidimensional heat conduction problems
is formulated. The developed space marching method allows to determine quic
kly and exactly unsteady temperature distributions in the construction elem
ents of irregular geometry. The method is especially appropriate for determ
ining transient temperature distribution in thick-wall pressure components
based on temperature measurements at the outer surface. Two examples are in
cluded to demonstrate the capabilities of the new approach.