Comparing the first and second order theories of relativistic dissipative fluid dynamics using the 1+1 dimensional relativistic flux corrected transport algorithm
arXiv:0807.0544 · doi:10.1140/epjc/s10052-009-0927-0
Abstract
Focusing on the numerical aspects and accuracy we study a class of bulk viscosity driven expansion scenarios using the relativistic Navier-Stokes and truncated Israel-Stewart form of the equations of relativistic dissipative fluids in 1+1 dimensions. The numerical calculations of conservation and transport equations are performed using the numerical framework of flux corrected transport. We show that the results of the Israel-Stewart causal fluid dynamics are numerically much more stable and smoother than the results of the standard relativistic Navier-Stokes equations.
16 pages, 17 figures; revised version with added references and updated text and figures; to be published in EPJ C
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- Development of relativistic shock waves in viscous gluon matter
- A relativistic dissipative hydrodynamic description for systems including particle number changing processes
- Hybrid model with viscous relativistic hydrodynamics: a role of constraints on the shear-stress tensor