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dc.contributor.advisorWise, John H
dc.contributor.authorKinsey, Matthew Christopher
dc.date.accessioned2016-08-22T12:21:39Z
dc.date.available2016-08-22T12:21:39Z
dc.date.created2016-08
dc.date.issued2016-07-29
dc.date.submittedAugust 2016
dc.identifier.urihttp://hdl.handle.net/1853/55557
dc.description.abstractWith the recent first detection of gravitational waves, numerical relativity provides us with the most promising tools of astronomical discovery, particularly for strong dynamical gravity phenomena where analytic solutions remain elusive. However, finding numerical solutions to the Einstein field equations of General Relativity and their accompanying matter source equations often comes at a steep computational cost. In this thesis, I present a Lagrangian formalism for solving the equations of relativistic hydrodynamics in a dynamical 3+1 spacetime using `smoothed particle hydrodynamics' (SPH) techniques. This method comes with numerous advantages over more traditional Eulerian methods. In particular, the resolution of SPH naturally follows the density distribution of the fluid: a distribution that may span many orders of magnitude in relevant astrophysical problems. The accuracy and validity of this method is then established by showing agreement with well-established analytical test cases in relativistic hydrodynamics. Additionally, I highlight the parallel properties of this method and discuss how this approach naturally lends itself well to a scientific computing environment that is increasingly seeing gains, not from higher clock rates, but rather a push towards massive parallelism.
dc.format.mimetypeapplication/pdf
dc.language.isoen_US
dc.publisherGeorgia Institute of Technology
dc.subjectNumerical Relativity
dc.subjectHydrodynamics
dc.subjectGeneral Relativity
dc.subjectSmoothed Particle Hydrodynamics
dc.subjectHierarchical Spatial Hashing
dc.subjectParallel Computing
dc.titleGeneral Relativistic Smoothed Particle Hydrodynamics: a Multi-Scale Formulation of Fluid Flow in Numerical Relativity
dc.typeDissertation
dc.description.degreePh.D.
dc.contributor.departmentPhysics
thesis.degree.levelDoctoral
dc.contributor.committeeMemberLaguna, Pablo
dc.contributor.committeeMemberShoemaker, Deirdre M
dc.contributor.committeeMemberBogdanovic, Tamara
dc.contributor.committeeMemberVuduc, Richard
dc.date.updated2016-08-22T12:21:39Z


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