Predicting a Time Evolving Accumulating Crystalline Formation using a Meshless Boundary Tracking Approach

The work presented attempts to construct a thermal imaging method with potential for numerically detecting the deposition of solidifying industrial process liquors evolving through time. In this simplified case it is assumed that the physical problem can be described by the two-dimensional time dependent heat equation. The problem is then posed mathematically, as an inverse geometric problem, which is solved numerically using the meshless Method of Fundamental Solutions (MFS). This allows the reconstruction of an internal boundary that describes the shape of the solidifying deposit as it develops through time. The main advantage of this method is that only non-invasive data is required, such as wall temperatures and heat fluxes. Numerical results presented correspond to a possible formation occurring due to an industrial pipe leakage.