Galerkin Least-Squares Stabilization Operators for the Navier-Stokes Equations: A Unified Approach

M.A. Polner

    Research output: ThesisPhD Thesis - Research UT, graduation UT

    525 Downloads (Pure)

    Abstract

    In this dissertation we attempt to approach fluid mechanics problems from a unified point of view and to combine techniques developed originally for compressible or incompressible flows into a more general framework. In order to study the viability of a unified approach, it is necessary to choose a starting formulation, therefore the choice of variables in the governing equations is crucial. For example, conservative variables are not suitable for a unified formulation because they result in a singular limit for incompressible flows. When entropy or pressure primitive variables are used, then the incompressible limit of the Navier-Stokes equations is well-defined, hence they are a suitable choice for obtaining a unified formulation. These two sets of variables are investigated in detail.
    Original languageUndefined
    Awarding Institution
    • University of Twente
    Supervisors/Advisors
    • van der Vegt, Jacobus J.W., Supervisor
    • van Damme, Rudolf Martinus Josephus, Advisor
    Thesis sponsors
    Award date17 Nov 2005
    Place of PublicationZuthpen, The Netherlands
    Publisher
    Print ISBNs90-365-2276-5
    Publication statusPublished - 17 Nov 2005

    Keywords

    • IR-50848
    • EWI-12185
    • METIS-225291

    Cite this