• DocumentCode
    3267396
  • Title

    Geometric discretization of fluid dynamics

  • Author

    Clemente-Gallardo, J. ; Lopezlena, R. ; Scherpen, J.M.A.

  • Author_Institution
    Delft Univ. of Technol., Netherlands
  • Volume
    4
  • fYear
    2002
  • fDate
    10-13 Dec. 2002
  • Firstpage
    4185
  • Abstract
    Based on the Stokes-Dirac structures proposed in, an extension of these descriptions is presented, for the Euler equations in the case of a one-dimensional manifold with boundary in order to include the entropy as a dynamic variable. Furthermore, a discretization procedure is proposed showing several nice properties. The effectiveness of the procedure for simulation purposes is shown with a simple model of an ideal pipeline.
  • Keywords
    Dirac equation; entropy; fluid dynamics; Euler equations; Stokes-Dirac structures; discretization; dynamic variable; entropy; fluid dynamics; geometric discretization; ideal pipeline model; one dimensional manifold; Algebra; Control theory; Entropy; Equations; Fluid dynamics; Hydrodynamics; Lattices; Pipelines; Reduced order systems; Solid modeling;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-7516-5
  • Type

    conf

  • DOI
    10.1109/CDC.2002.1185026
  • Filename
    1185026