6.1 Relativistic shock heating in Numerical Hydrodynamics in Special Relativity5 Summary of Methods

6 Test Bench 

In this section we compare the performance of the numerical methods described in the previous sections based on a couple of test problems which have an analytical solution. In  6.1 we compare how the different methods handle the relativistic shock heating of a cold gas in different geometries based on previously published data. In Table  4 we summarize the results and give for every numerical method both the highest Lorentz factor achieved for this problem and the mean error in the computation of the post-shock density. The results obtained with different numerical methods for two Riemann problems involving shock waves and relativistic velocities appear in Section  6.2.1 (mildly relativistic Riemann problem) and Section  6.2.2 (highly relativistic Riemann problem), respectively. The performance of the methods is summarized in Tables  6 and  7 . Finally, a challenging test problem based on the collision of two relativistic blast waves is discussed in Section  6.2.3 .





6.1 Relativistic shock heating in Numerical Hydrodynamics in Special Relativity5 Summary of Methods

image Numerical Hydrodynamics in Special Relativity
Jose Maria Martí and Ewald Müller
http://www.livingreviews.org/lrr-1999-3
© Max-Planck-Gesellschaft. ISSN 1433-8351
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