Causal relativistic fluid dynamics

Numerical tests of causal relativistic dissipative fluid dynamics

We present numerical methods to solve the Israel– Stewart (IS) equations of causal relativistic dissipative fluid dynamics with bulk and shear viscosities. We then test these methods studying the Riemann problem in (1+ 1)and (2+ 1)-dimensional geometry. The numerical schemes investigated here are applicable to realistic (3 + 1)-dimensional modeling of a relativistic dissipative fluid. PACS 24.1...

Causal Theories of Dissipative Relativistic Fluid Dynamics for Nuclear Collisions

In the early stages of heavy ion collisions, non– equilibrium effects play a dominant role. A complete description of the dynamics of heavy ion reactions needs to include the effects of dissipation through non– equilibrium/dissipative fluid dynamics. As is well–known [1], extended theories (which are hyperbolic and causal) of dissipative fluids due to Grad [2], Müller [3], and Israel and Stewar...

Chapter 1 Relativistic Fluid Dynamics

Subluminality and damping of plane waves in causal dissipative relativistic fluid dynamics

In this paper and its companion [2], the authors introduce a causal hyperbolic modification of the Eckart-Landau-Weinberg dissipation tensor, for the dynamics of collision-dominated radiation. The resulting system of partial differential equations for relativistic fluid dynamics is shown to exclusively admit subluminal, decaying modes for any finite wavelength. This validates the new relativist...

Causal dissipation and shock profiles in the relativistic fluid dynamics of pure radiation.

CURRENT THEORIES OF DISSIPATION IN THE RELATIVISTIC REGIME SUFFER FROM ONE OF TWO DEFICITS: either their dissipation is not causal or no profiles for strong shock waves exist. This paper proposes a relativistic Navier-Stokes-Fourier-type viscosity and heat conduction tensor such that the resulting second-order system of partial differential equations for the fluid dynamics of pure radiation is ...