Using the symmetries in 3D Smoothed Particle Hydrodynamics

Mathematics – Mathematical Physics

Scientific paper

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Lagrangian Field Theory, Equations Of State, Gravitation, Shock Waves, Canonical Formalism, Lagrangians, And Variational Principles, Thermodynamic Functions And Equations Of State, Relativity And Gravitation, Strong Motions And Shock Waves

Scientific paper

We apply the cartoon SPH technique to solve numerically the Newtonian Euler's equations in scenarios with spherical symmetry with the standard Smoothed Particle Hydrodynamics method, using the equations written in cartesian coordinates. This implementation allow us to increase the resolution of the simulations in order to obtain accurate results. We test it using the Shock tube and the isothermal collapse of a perfect fluid in spherical symmetry.

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