Challenges in Relativistic Hydrodynamics: analytical aspects and novel numerical schemes

RUBIO, M. E; REULA, O. A.; LEHNER, L.

Los Alamos [Webinar]

Seminario; LANL Webinar; 2020

Los Alamos National Laboratory

During the last decades, there came up a series of causal theories for understanding the dynamics of dissipative fluids in relativistic scenarios. It is well known that some of the equations that model energy transport mechanisms are of parabolic type, and thus the information propagates at infinite speed. This fact goes against the causality principles of Einstein´s theory, which postulates that nothing can travel faster than the speed of light, making thus the issue of modeling dissipative relativistic fluids a highly non-trivial task.After a brief motivation and comments on this problem, I will present a recent well-posed family of theories for dissipative fluids, particularly focusing on their ultra-relativistic limit. Then, I will comment on an original way to numerically simulate this class of theories and show some simulations at short and long time scales, within different dissipative regimes. Finally, I will comment on work in progress and present future perspectives. In particular, ourimplementation can be directly adapted for simulating complex fluid systems at different scales: as small as those of colliding elementary particles, up to the largest scales in the Universe.