Discontinuous finite/boundary element method for radiative heat transfer with application in laser cancer therapy.

摘要

The present study presents new algorithms that are developed on the basis of the boundary element method discontinuous or finite element formulation for the computation of thermal radiation problems. Since the external and internal thermal radiation problems are described using different mathematical formulations, based on the two different control equations of surface radiation exchanges (external thermal radiation) and radiative transfer in a medium (internal thermal radiation), the discontinuous boundary/finite element methods are developed to solve these two different type problems. The corresponding algorithms of thermal radiation for different geometries and applications are developed, and the coupling problems are also presented.; A Galerkin boundary element numerical method for surface radiation exchange has been developed in this study, which includes (1) two dimensional geometries without/with blockages and (2) three dimensional geometries without/with blockages. The parallel algorithm for boundary element method is also developed by PVM (Parallel Virtual Machine). For integral radiative heat transfer problems, the discontinuous finite element method is implemented to solve one-dimensional and multidimensional problems. These include (1) one-dimensional problems with emitting, absorbing, and/or scattering effects. (2) Two dimensional and three dimensional problems with emitting, absorbing, and/or scattering effects. (3) Axisymmetric problems with emitting, absorbing, and/or scattering effects. For internal radiative heat transfer problems, the parallel computation techniques are also developed for discontinuous finite element method. (4) Numerical simulations of radiative transport in laser hyperthermia.; The techniques we developed for calculating the external and internal radiation problems are proved more accurate and faster, compared with the techniques being used commonly, and the methodologies are easy to couple with calculations of heat transfer and fluid flow.