Sequential function approximation of the radiative transfer equation

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dc.contributor.advisorMeade, Andrew J., Jr.
dc.contributor.advisorBayazitoglu, Yildiz
dc.creatorThomson, David Lee
dc.date.accessioned2009-06-04T06:53:40Z
dc.date.available2009-06-04T06:53:40Z
dc.date.issued2000
dc.description.abstractHeat 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.
dc.format.extent116 p.en_US
dc.format.mimetypeapplication/pdf
dc.identifier.callnoTHESIS M.E. 2000 THOMSON
dc.identifier.citationThomson, 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>.
dc.identifier.urihttps://hdl.handle.net/1911/19560
dc.language.isoeng
dc.rightsCopyright 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.
dc.subjectMechanical engineering
dc.subjectRadiation
dc.titleSequential function approximation of the radiative transfer equation
dc.typeThesis
dc.type.materialText
thesis.degree.departmentMechanical Engineering
thesis.degree.disciplineEngineering
thesis.degree.grantorRice University
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy
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