Numerical Simulation of 2D Relativistic Hydrodynamics Using Adaptive Mesh Refinement Technique

Computer Science – Performance

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Scientific paper

We have developed a code to numerically solve two-dimensional special relativistic hydrodynamics equations based on the LCPFCT algorithm for one-dimensional Newtonian hydrodynamics. We implemented our code using the PARAMESH, Parallel AMR library. We present the details of our algorithm and exhibit its performance on a series of verification tests. Our code will be combined with two-dimensional transport code to build up a code for two-dimensional special relativistic radiation hydrodynamics. The prompt and/or afterglow emission of Gamma-Ray Bursts(GRBs) will be investigated in detail with the numerical simulation of relativistic radiation hydrodynamics.
This work was supported by NASA Cooperative Agreement No. NCC 5-615.

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