Title :
Geometric discretization of fluid dynamics
Author :
Clemente-Gallardo, J. ; Lopezlena, R. ; Scherpen, J.M.A.
Author_Institution :
Delft Univ. of Technol., Netherlands
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;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1185026
