Classical and relavistic simple wave problems solved with Smoothed Particle Hydrodynamics

TL;DR

This paper applies Smoothed Particle Hydrodynamics to classical and relativistic simple wave problems, specifically the Sod shock tube and gas expansion into vacuum, aiming to improve simulation accuracy and efficiency.

Contribution

It develops and tests SPH techniques for solving classical and relativistic wave problems, enhancing simulation precision and computational speed.

Findings

Improved SPH methods for relativistic wave simulations

Enhanced accuracy in classical shock tube modeling

Faster computation times with optimized techniques

Abstract

To simulate the expansion of the matter created in relativistic nuclear collisions, codes in 3+1 dimensions are used and we are developing a new one. To benchmark such codes, the Sod's shock tube is often used. A closely related problem is the one-dimensional expansion of a gas into vacuum. In this paper, we study this problem classically and relativistically with the Smoothed Particle Method and test various techniques to improve the precision and speed of the solution.