Fig. 2
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Slice at y = y0 of primitive quantities at time t = 0.4 of the Balsara1 test. The magnetic field divergence in units of the magnetic field intensity is plotted in the seventh panel. Blue squares (Powell) and red triangles (Dedner) mark the MFM solutions, while cyan stars (Powell) and orange circles (Dedner) indicate the MFV ones. In the bottom panel, we display the specific internal energy when the problem is initialized with equal-mass particles and evolved with the MFV scheme; gold diamonds mark the solution employing standard slope limiters, while olive triangles show the results using more diffusive slope limiters. The correct solution, evaluated through the exact Riemann Solver by Giacomazzo & Rezzolla (2006), is plotted with a dashed black line.
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