Symmetries without symmetries in Smoothed Particle Hydrodynamics
General Relativity and Quantum Cosmology
2011-05-10 v1 Computational Physics
Fluid Dynamics
Abstract
We introduce a technique to solve numerically the relativistic Euler's equations in scenarios with spherical symmetry using the standard Smoothed Particles Hydrodynamics method in cartesian coordinates. This implementation allow us to increase the resolution of the simulations in order to obtain accurate results. We test our implementation studying the evolution of a perfect fluid in a blast wave configuration in a fixed space-time . The technique can be easily generalized to axial symmetric problems.
Keywords
Cite
@article{arxiv.1105.1413,
title = {Symmetries without symmetries in Smoothed Particle Hydrodynamics},
author = {Juan P. Cruz and José A. González},
journal= {arXiv preprint arXiv:1105.1413},
year = {2011}
}