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dc.contributor.advisorLoyalka, S. K.eng
dc.contributor.authorSmith, Zebadiah M., 1979-eng
dc.date.issued2010eng
dc.date.submitted2010 Summereng
dc.descriptionThe entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file.eng
dc.descriptionTitle from PDF of title page (University of Missouri--Columbia, viewed on November 1, 2011).eng
dc.descriptionThesis advisor: Dr. Sudarshan K. Loyalka.eng
dc.descriptionVita.eng
dc.descriptionIncludes bibliographical references.eng
dc.descriptionPh. D. University of Missouri-Columbia 2010.eng
dc.descriptionDissertations, Academic -- University of Missouri--Columbia -- Nuclear engineering.eng
dc.description.abstract[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] The dissertation describes a general, efficient, and parallelized approach to solving the Poisson equation in the volume surrounding multiple, arbitrarily shaped bodies. Green's function method is applied and a quadrature technique approximates the resulting integrals from which singularities are subtracted-yielding a large set of equations. The solution is implemented with a general, parallelized, functional program; the input of which are parametric equations defining the surfaces of multiple, arbitrarily shaped bodies and a number of possible boundary conditions. Taking full advantage of available computational resources, the method can be very efficient. The utility, generality, and efficiency of the approach is demonstrated by application to various problems in electrostatics and diffusion; both to validate its accuracy, and in specific cases, to elucidate the phenomena of interest. As the motivation for this research stems from aerosol science and specifically, the critical need for accurate source term modeling for gas-cooled, graphite-moderated nuclear reactors, discussion of the results is done in light of these topics. However, the approach is applicable to any phenomena governed by the Poisson equation-these phenomena are numerous and have implications in nearly all areas of science and engineering.eng
dc.format.extentxiii, 121 pageseng
dc.identifier.oclc872561957eng
dc.identifier.urihttps://hdl.handle.net/10355/12185
dc.identifier.urihttps://doi.org/10.32469/10355/12185eng
dc.languageEnglisheng
dc.publisher[University of Missouri--Columbia]eng
dc.relation.ispartofcollectionUniversity of Missouri--Columbia. Graduate School. Theses and Dissertationseng
dc.rightsAccess is limited to the campus of the University of Missouri-Columbia.eng
dc.subject.lcshPoisson's equationeng
dc.subject.lcshGreen's functionseng
dc.subject.lcshDiffusion -- Mathematical modelseng
dc.subject.lcshElectrostatics -- Mathematicseng
dc.subject.lcshGas cooled reactors -- Mathematical modelseng
dc.titleNumerical solutions to the Poisson equation in media surrounding multiple arbitrarily shaped bodieseng
dc.typeThesiseng
thesis.degree.disciplineNuclear engineering (MU)eng
thesis.degree.grantorUniversity of Missouri--Columbiaeng
thesis.degree.levelDoctoraleng
thesis.degree.namePh. D.eng


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