Application of spatial and angular domain based parallelism to a discrete ordinates formulation with unstructured spatial discretization

摘要

A parallel discrete ordinate formulation employing a general, unstructured finite element spatial discretization is presented for steady, gray, nonscattering radiative heat transport within a participating medium. The formulation is based on the first order form of the boltzmann transport equation and allows for any combination of spatial and angular domain based parallelism. The formulation is tested on a massively parallel, distributed memory architecture using a standard three-dimensional benchmark calculation. The results show that the formulation presented provides better parallel performance and accuracy than the author's previously published work. The ultimate objective of both the current and previous efforts is to develop a computationally efficient radiative transport model for use in large scale numerical fire simulations.