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Massively parallel simulations of relativistic fluid dynamics on graphics processing units with CUDA

Dennis Bazow, Ulrich W. Heinz, Michael Strickland
Department of Physics, The Ohio State University, Columbus, OH 43210 United States
arXiv:1608.06577 [physics.comp-ph], (23 Aug 2016)

@article{bazow2016massively,

   title={Massively parallel simulations of relativistic fluid dynamics on graphics processing units with CUDA},

   author={Bazow, Dennis and Heinz, Ulrich W. and Strickland, Michael},

   year={2016},

   month={aug},

   archivePrefix={"arXiv"},

   primaryClass={physics.comp-ph}

}

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Relativistic fluid dynamics is a major component in dynamical simulations of the quark-gluon plasma created in relativistic heavy-ion collisions. Simulations of the full three-dimensional dissipative dynamics of the quark-gluon plasma with fluctuating initial conditions are computationally expensive and typically require some degree of parallelization. In this paper, we present a GPU implementation of the Kurganov-Tadmor algorithm which solves the 3+1d relativistic viscous hydrodynamics equations including the effects of both bulk and shear viscosities. We demonstrate that the resulting CUDA-based GPU code is approximately two orders of magnitude faster than the corresponding serial implementation of the Kurganov-Tadmor algorithm. We validate the code using (semi-)analytic tests such as the relativistic shock-tube and Gubser flow.
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