Heat 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.
| Identifer | oai:union.ndltd.org:RICE/oai:scholarship.rice.edu:1911/19560 |
| Date | January 2000 |
| Creators | Thomson, David Lee |
| Contributors | Meade, Andrew J., Jr., Bayazitoglu, Yildiz |
| Source Sets | Rice University |
| Language | English |
| Detected Language | English |
| Type | Thesis, Text |
| Format | 116 p., application/pdf |
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