• Login
    View Item 
    •   SMARTech Home
    • Georgia Tech Theses and Dissertations
    • Georgia Tech Theses and Dissertations
    • View Item
    •   SMARTech Home
    • Georgia Tech Theses and Dissertations
    • Georgia Tech Theses and Dissertations
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    General Relativistic Smoothed Particle Hydrodynamics: a Multi-Scale Formulation of Fluid Flow in Numerical Relativity

    Thumbnail
    View/Open
    KINSEY-DISSERTATION-2016.pdf (10.84Mb)
    Date
    2016-07-29
    Author
    Kinsey, Matthew Christopher
    Metadata
    Show full item record
    Abstract
    With 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.
    URI
    http://hdl.handle.net/1853/55557
    Collections
    • School of Physics Theses and Dissertations [577]
    • Georgia Tech Theses and Dissertations [22398]

    Browse

    All of SMARTechCommunities & CollectionsDatesAuthorsTitlesSubjectsTypesThis CollectionDatesAuthorsTitlesSubjectsTypes

    My SMARTech

    Login

    Statistics

    View Usage StatisticsView Google Analytics Statistics
    • About
    • Terms of Use
    • Contact Us
    • Emergency Information
    • Legal & Privacy Information
    • Accessibility
    • Accountability
    • Accreditation
    • Employment
    • Login
    Georgia Tech

    © Georgia Institute of Technology

    • About
    • Terms of Use
    • Contact Us
    • Emergency Information
    • Legal & Privacy Information
    • Accessibility
    • Accountability
    • Accreditation
    • Employment
    • Login
    Georgia Tech

    © Georgia Institute of Technology