Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2005-12-19
Appl.Math.Comput. 181 (2006) 256-270
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
8 figures
Scientific paper
10.1016/j.amc.2006.01.031
In this paper, we have solved 1D special relativistic hydrodynamical equations using different numerical method in computational gas dynamics. The numerical solutions of these equations for smooth wave cases give better solution when we use $Non-TVD$(Total Variable Diminishing) but solution of discontinuity wave produces some oscillation behind the shock. On the other hand, $TVD$ type schemes give good approximation at discontinuity cases. Because $TVD$ schemes completely remove the oscillations, they reduce locally the accuracy of the solution around the extrema.
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