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Symmetry Preserving Discretization of the Compressible Euler Equations

  • Emma Hoarau
  • Pierre Sagaut
  • Claire David
  • Thiên-Hiêp Lê
Conference paper

Abstract

Symmetries are transformations which act on the physical variables of a system. They can transform the time, the position, the velocity and the thermodynamical properties (density, pressure) of the physical system. But they do not modify the evolution of the physical system. This work deals with continuous symmetries which are described by the Lie group theory. In physics, symmetries are space-time transformations, such as the Galilean transformations, the Lorentz transformations, the projective transformations, the scaling transformations, the translations.

Keywords

Euler Equation Burger Equation Gaussian Pulse Compressible Euler Equation Galilean Transformation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Emma Hoarau
    • 1
  • Pierre Sagaut
    • 2
  • Claire David
    • 2
  • Thiên-Hiêp Lê
    • 1
  1. 1.ONERAChâtillon cedex
  2. 2.Université Pierre et Marie CurieParis

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