Mathematics – Dynamical Systems
Scientific paper
Jul 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010aipc.1256..326c&link_type=abstract
GRAVITATIONAL PHYSICS: TESTING GRAVITY FROM SUBMILLIMETER TO COSMIC: Proceedings of the VIII Mexican School on Gravitation and M
Mathematics
Dynamical Systems
Hydrodynamics, Black Holes, Dynamics, Lagrangian Field Theory, Partial Differential Equations, Hydrodynamics, Hydraulics, Hydrostatics, Galactic Nuclei, Circumnuclear Matter, And Bulges, General Linear Dynamical Systems, Canonical Formalism, Lagrangians, And Variational Principles, Partial Differential Equations
Scientific paper
In this work we present the Lagrangian formulation of the general relativistic ideal fluid equations. With the help of the standard Smoothed Particle Hydrodynamics (SPH) method we obtain a discretization of the motion equations. Having in mind that several of the most interesting astrophysical systems that we observe in the universe have been shaped by fluid dynamical processes, we want to use this method to study them. We present the first steps to implement such general relativistic SPH codes.
Cruz-Pérez Juan P.
Gonzalez Jose A.
Montoya Edison
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