Radiative transfer solution with discrete wavelets in the angular domain
Doctor of Philosophy thesis
Radiative heat transfer analysis requires the consideration of seven independent variables, three spatial directions, two angular directions, frequency and time. Consequently, the solution of radiative transfer problems demands specialized numerical methods in order to deal with each of these independent variables. In this study, a new numerical scheme is developed, which employs wavelet analysis in the evaluation of radiative intensity in the angular domain. The formulation of the method for one- and two-dimensional problems is presented, and the accuracy and effectiveness of the method are tested by case studies. The wavelet analysis is implemented in the treatment of transient radiative transfer problems and as a test case, imaging of inhomogeneties within an absorbing, scattering medium exposed to short-pulse laser irradiation is studied.