Symmetry Preserving Discretization of the Compressible Euler Equations
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.
KeywordsEuler Equation Burger Equation Gaussian Pulse Compressible Euler Equation Galilean Transformation
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