Invariant imbedding and hyperbolic heat waves
Degree GrantorUniversity of Canterbury
Degree NameResearch report
This paper builds up a general wave splitting and imbedding theory for solution of both direct and inverse problems associated with thermal processes. It is done by using a full representation of the thermal phenomenon by virtue of Cattaneo's law. This law by ensuring finite thermal propagation speeds, enables an imbedding equation to layer strip the medium; so allowing the solution to the inverse problem of determination of a spatially varying diffusivity. Theoretical results and numerical algorithms are developed and numerical experiments are used to illustrate the effectiveness of the latter.
SubjectsField of Research::02 - Physical Sciences::0203 - Classical Physics::020304 - Thermodynamics and Statistical Physics
- Engineering: Reports