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

Abstract

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.

57 pages, 18 figures

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Cited by in corpus (25)

• Causality and existence of solutions of relativistic viscous fluid dynamics with gravity
• Bayesian analysis of heavy ion collisions with the heavy ion computational framework Trajectum
• Pseudorapidity distribution and decorrelation of anisotropic flow within CLVisc hydrodynamics
• Nonlinear Constraints on Relativistic Fluids Far From Equilibrium
• (3+1)-dimensional dissipative relativistic fluid dynamics at non-zero net baryon density
• Far-from-equilibrium search for the QCD critical point
• Hydrodynamic attractor and the fate of perturbative expansions in Gubser flow
• Bayesian parameter estimation for relativistic heavy-ion collisions
• Dissipative Magnetohydrodynamics for Non-Resistive Relativistic Plasmas
• Critical lensing and kurtosis near a critical point in the QCD phase diagram in and out-of-equilibrium
• (3+1)-dimensional anisotropic fluid dynamics with a lattice QCD equation of state
• Interpretable deep learning for nuclear deformation in heavy ion collisions
• Anisotropic fluid dynamical simulations of heavy-ion collisions
• Towards a full solution of relativistic Boltzmann equation for quark-gluon matter on GPUs
• Applications of deep learning to relativistic hydrodynamics
• The JETSCAPE framework
• Hydrodynamic generators in relativistic kinetic theory
• Including off-diagonal anisotropies in anisotropic hydrodynamics
• Far From Equilibrium Hydrodynamics and the Beam Energy Scan
• Hydrodynamic description of the baryon-charged quark-gluon plasma
• Off-of-equilibrium effects on Kurtosis Along Strangeness-Neutral Trajectories
• Extension of the integrated hydrokinetic model to nuclear collision energies relevant for the RHIC Beam-Energy Scan program and the research program at GSI-FAIR
• Far-from-equilibrium hydrodynamic simulations of ultrarelativistic nuclear collisions
• Holography in Quark-Gluon Plasma and Neutron Stars
• Optimized fluid dynamics for heavy ion collisions