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    Investigation of the Stabilization Parameters of the Stabilized Finite Element Formulations

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    Author
    Curlett, Tracee Lee
    Date
    2011
    Advisor
    Tezduyar, Tayfun E.
    Degree
    Master of Science
    Abstract
    The Team for Advanced Flow Simulation and Modeling at Rice University specializes in finite element computation of complex problems, relying on stabilized formulations such as the streamline-upwind/Petrov-Galerkin and pressure-stabilizing/PetrovGalerkin methods. These stabilization methods involve a stabilization parameter, T. Alternatives to the currently-used T definitions were provided in terms of element-level matrices and vectors. An extensive investigation of these stabilization parameters is performed with comparison to currently-used T definitions to determine their performance. Numerical data is reported to evaluate the behavior of these alternative stabilization parameters with changing element size, type, and distortion. This is accomplished through evaluation of the matrix-assembly outcome and test computations, with focus on boundary layer behavior. Test calculations are carried out in the context of a time-dependent advection-diffusion equation and the N avier-Stokes equations of incompressible flows, for both the semi-discrete formulation and the Deforming-Spatial-Domain/Stabilized Space-Time method.
    Keyword
    Mechanical engineering; Materials science
    Citation
    Curlett, Tracee Lee. "Investigation of the Stabilization Parameters of the Stabilized Finite Element Formulations." (2011) Master’s Thesis, Rice University. https://hdl.handle.net/1911/64412.
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    Home | FAQ | Contact Us | Privacy Notice | Accessibility Statement
    Managed by the Digital Scholarship Services at Fondren Library, Rice University
    Physical Address: 6100 Main Street, Houston, Texas 77005
    Mailing Address: MS-44, P.O.BOX 1892, Houston, Texas 77251-1892
    Site Map