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Evaluation of the Stability and Performance of a Multi-Stage Riemann Solver in Relativistic Hydrodynamic Simulations

J. Sikorski, J. Porter-Sobieraj, D. Kikola, M. Slodkowski, P. Aszklar
University of Warsaw, Faculty of Physics, Hoza 69, 00-681 Warsaw, Poland
arXiv:1510.06340 [nucl-th], (21 Oct 2015)

@article{sikorski2015evaluation,

   title={Evaluation of the Stability and Performance of a Multi-Stage Riemann Solver in Relativistic Hydrodynamic Simulations},

   author={Sikorski, J. and Porter-Sobieraj, J. and Kikola, D. and Slodkowski, M. and Aszklar, P.},

   year={2015},

   month={oct},

   archivePrefix={"arXiv"},

   primaryClass={nucl-th}

}

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The work deals with assessing the quality of a multi-stage Riemann solver for relativistic hydrodynamic simulations of heavy-ion collisions. The physical system is described using hydrodynamic conservation laws and then solved numerically. Because of the nature of such hydrodynamic simulations the numerical method has to cope with problems containing both strong discontinuities and smooth solutions, and reproduce these features with a high precision and stability. Moreover, to verify the correctness of the proposed physical model, a massive number of simulations with a high spatial resolution is needed. Due to the high numerical cost, a highly efficient implementation for solving such large-scale problems is required. The MUSTA-FORCE algorithm is a universal tool for hydrodynamic simulations. It uses simple central schemes and does not require any knowledge of the physical process’s details, thus it can be used for virtually any physical system. We investigate the application of the MUSTA-FORCE scheme for relativistic hydrodynamics with GPU computing using single precision floating-point operations. We assess the quality of our implementation in terms of simulation accuracy and simulation time.
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