Meade, Andrew J., Jr.Bayazitoglu, Yildiz2009-06-042009-06-042000Thomson, David Lee. "Sequential function approximation of the radiative transfer equation." (2000) Diss., Rice University. <a href="https://hdl.handle.net/1911/19560">https://hdl.handle.net/1911/19560</a>.https://hdl.handle.net/1911/19560Heat transfer in a radiatively participating medium involves higher coupling than is typical for pure conduction and/or convection problems. Consequently, standard discretizing techniques such as partitioning regions of a finite volume domain on separate processors are inefficient. Additionally, standard angular decompositions may introduce discontinuities into the solution which are difficult to model accurately. A scalable method for parallelizing the radiative transport equation is presented. A standard discrete ordinates formulation is used to transform the integro-differential equation into a system of partial differential equations. The resulting system of equations is then solved by an optimal grid-independent, sequential-function approach that captures discontinuities accurately without additional user interaction. Results for one- and two-dimensional cases are given.116 p.application/pdfengCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.Mechanical engineeringRadiationThesisTHESIS M.E. 2000 THOMSON