Relativistic blast wave and single neutron star tests with the Nmesh Code

We present some recent tests that we have performed with the Nmesh code. These include the propagation of relativistic blast waves and evolution of a single neutron star. We propagate the relativistic blast waves entirely with a discontinuous Galerkin (DG) method, and also entirely with a finite volume (FV) method. For the case of evolving the blast wave with the DG method, we apply the MRS limiter to the primitive variables of relativistic hydrodynamics and compare with the results when we apply the limiter to the conservative variables. For the FV method evolution of the blast wave, we apply a WENO scheme implementation that we have developed and we explore the results. For the neutron star, we use the DG method in the interior of the star where the density is smooth, and the FV method near the star surface.