2010/05/10 by S. Rosswog, Rosswog, S.
Engineering · #Computational Fluid Dynamics and Aerodynamics #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Fluid Dynamics Simulations and Interactions #Instrumentation and Methods for Astrophysics (astro-ph.IM) #Lattice Boltzmann Simulation Studies
paper · pdf · doi:10.48550/arxiv.1005.1679
openalex publication_date 2010/05/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we test a special-relativistic formulation of Smoothed Particle Hydrodynamics (SPH) that has been derived from the Lagrangian of an ideal fluid. Apart from its symmetry in the particle indices, the new formulation differs from earlier approaches in its artificial viscosity and in the use of special-relativistic ``grad-h-terms''. In this paper we benchmark the scheme in a number of demanding test problems. Maybe not too surprising for such a Lagrangian scheme, it performs close to perfectly in pure advection tests. What is more, the method produces accurate results even in highly relativistic shock problems.