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In this paper we test a special-relativistic formulation of Smoothed ParticleHydrodynamics (SPH) that has been derived from the Lagrangian of an idealfluid. Apart from its symmetry in the particle indices, the new formulationdiffers from earlier approaches in its artificial viscosity and in the use ofspecial-relativistic ``grad-h-terms''. In this paper we benchmark the scheme ina number of demanding test problems. Maybe not too surprising for such aLagrangian scheme, it performs close to perfectly in pure advection tests. Whatis more, the method produces accurate results even in highly relativistic shockproblems.

Special-relativistic Smoothed Particle Hydrodynamics: a benchmark suite