Three-dimensional radiative heat transfer in glass cooling processes

For the numerical Simulation of 3D radiative heat transfer in glasses and glass melts, practically applicable mathematical methods are needed for optimal handling of problems using workstation-class Computers. Since the exact Solution would require Supercomputer capabilities, approximate Solutions with a high degree of accuracy are given. An improved diffusion approximation is presented. In contrast to the classical Rosseland approximation this method makes use of the geometry and the nongrey character for the absorption of glass. The improved 3D diffusion approximation studied in the following paper has the advantage to be both efficient and sufficiently accurate.