Relativistic smooth particle hydrodynamics on a given background spacetime
Résumé
We review the derivation of fixed-metric, relativistic smooth particle hydrodynamics (SPH) from the Lagrangian of an ideal fluid. Combining the Euler-Lagrange equations with the first law of thermodynamics, we explicitely derive evolution equations for the canonical momentum and energy. This new set of SPH equations also accounts for corrective terms that result from derivatives of the SPH smoothing kernel and that are called " grad-h " terms in non-relativistic SPH. The new equations differ from earlier formulations with respect to these corrective terms and the symmetries in the SPH particle indices while being identical in the gravitational terms.
Fichier principal
PEER_stage2_10.1088%2F0264-9381%2F27%2F11%2F114108.pdf (108.77 Ko)
Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...