A numerical algorithm based on the discrete ordinate response matrix method is developed for the solution of radiative transfer problems on massively parallel computers. In particular, time-independent, two-dimensional, grey radiative transfer problems in which both scattering and absorption-emission are present and which are nonlinear as a result of temperature-dependent heat sources are considered. The nodal matrices which result from the diamond-differenced equations are utilized in a factored form which minimizes memory requirements and significantly reduces the required number of arithmetic operations per node. The red-black solution algorithm utilizes massive parallelism by assigning each spatial node to a single processor. The method has been implemented on a 16k Connection Machine-2, and S8 solutions have been obtained for arbitrary spatial domains in X-Y geometry with fixed heat sources and with highly temperature-dependent combustion sources, which are characteristic for coal particle suspensions.
ASJC Scopus subject areas
- Mechanical Engineering