Cylindrically invariant flows in relativistic fluid dynamics

Chapter 1 Relativistic Fluid Dynamics

Fluid Dynamics for Relativistic Nuclear Collisions

I give an introduction to the basic concepts of fluid dynamics as applied to the dynamical description of relativistic nuclear collisions.

Notes on Statistically Invariant States in Stochastically Driven Fluid Flows

These expository notes address certain stationary and ergodic properties of the equations of fluid dynamics subject to a spatially degenerate (i.e. frequency localized), white in time gaussian forcing. In order to provide an accessible treatment of some recent progress in this subject (cf. [HM06, HM11, FGHRT13]) we will develop ideas in detail for a class of finite dimensional models. DRAFT: Ju...

A Shock-patching Code for Ultra-relativistic Fluid Flows

We have developed a one-dimensional code to solve ultra-relativistic hydrodynamic problems, using the Glimm method for an accurate treatment of shocks and contact discontinuities. The implementation of the Glimm method is based on an exact Riemann solver and van der Corput sampling sequence. In order to improve computational efficiency, the Glimm method is replaced by a finite differencing sche...

Calculation of the relativistic bulk tensor and shear tensor of relativistic accretion flows in the Kerr metric.

In this paper, we calculate the relativistic bulk tensor and shear tensor of the relativistic accretion ows in the Kerr metric, overall and without any approximation. We obtain the relations of all components of the relativistic bulk and shear tensor in terms of components of four-velocity and its derivatives, Christoffel symbols and metric components in the BLF. Then, these components are deri...