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dc.contributor.advisorGanesh, Mahadevan
dc.contributor.advisorMartin, P. A.
dc.contributor.authorSprinkle, Brennan
dc.date.accessioned2007-01-03T04:53:31Z
dc.date.accessioned2022-02-09T08:51:27Z
dc.date.available2007-01-03T04:53:31Z
dc.date.available2022-02-09T08:51:27Z
dc.date.issued2013
dc.identifierT 7222
dc.identifier.urihttps://hdl.handle.net/11124/78743
dc.description2013 Spring.
dc.descriptionIncludes illustrations (some color).
dc.descriptionIncludes bibliographical references (pages 74-76).
dc.description.abstractWe present a method for simulating the evolution of inextensible vesicles suspended in a Stokesian fluid flow. The flow model problem is reformulated as a coupled system of integro-differential equations relating the evolution of the vesicle membrane to the interfacial forces. Variational techniques are applied to derive an exact form for the interfacial forces on the vesicle. A super algebraic algorithm is presented to numerically evaluate weakly singular integrals which arise in the development of the simulation. Discretization of our coupled system of integro-differential equations is done using a fully discrete Galerkin method in space and an explicit scheme in time. This approach yields a high--order spatially accurate solution with relatively few degrees of freedom. Numerical results are given to demonstrate the effectiveness of the reformulation and the high-order algorithm.
dc.format.mediumborn digital
dc.format.mediummasters theses
dc.languageEnglish
dc.language.isoeng
dc.publisherColorado School of Mines. Arthur Lakes Library
dc.relation.ispartof2010-2019 - Mines Theses & Dissertations
dc.rightsCopyright of the original work is retained by the author.
dc.subjectWillmore
dc.subjectvesicle
dc.subjectStokes
dc.subjectharmonic
dc.subject.lcshMathematical models
dc.subject.lcshBiological models
dc.subject.lcshFluid mechanics
dc.subject.lcshStokes equations
dc.subject.lcshAlgorithms
dc.titleSurface integral equation based derivation and algorithm for simulating vesicle flows in three dimensions, A
dc.typeText
dc.contributor.committeememberTenorio, Luis
thesis.degree.nameMaster of Science (M.S.)
thesis.degree.levelMasters
thesis.degree.disciplineApplied Mathematics and Statistics
thesis.degree.grantorColorado School of Mines


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