Comparing the first- and second-order theories of relativistic dissipative fluid dynamics using the 1 + 1 dimensional relativistic flux corrected transportalgorithm

摘要

Focusing on the numerical aspects and accuracywe study a class of bulk viscosity driven expansion scenar-ios using the relativistic Navier–Stokes and truncated Israel–Stewart form of the equations of relativistic dissipative fluidsin 1 + 1 dimensions. The numerical calculations of conser-vation and transport equations are performed using the nu-merical framework of flux corrected transport. We show thatthe results of the Israel–Stewart causal fluid dynamics arenumerically much more stable and smoother than the resultsof the standard relativistic Navier–Stokes equations.