Symmetries without symmetries in Smoothed Particle Hydrodynamics

TL;DR

This paper presents a novel method for solving relativistic Euler's equations with spherical symmetry using Smoothed Particle Hydrodynamics in Cartesian coordinates, enhancing resolution and accuracy in simulations.

Contribution

It introduces a new technique that enables high-resolution relativistic fluid simulations with spherical symmetry in SPH, adaptable to axial symmetry.

Findings

Successful simulation of a relativistic blast wave in fixed spacetime.

Enhanced resolution leads to more accurate results.

Method can be generalized to axial symmetry.

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.