Numerical simulations of interfaces in relativistic hydrodynamics

Equation of State in Numerical Relativistic Hydrodynamics

Relativistic temperature of gas raises the issue of the equation of state (EoS) in relativistic hydrodynamics. We study the EoS for numerical relativistic hydrodynamics, and propose a new EoS that is simple and yet approximates very closely the EoS of the single-component perfect gas in relativistic regime. We also discuss the calculation of primitive variables from conservative ones for the Eo...

Lattice numerical simulations of hydraulic fractures interacting with oblique natural interfaces

The hydraulic fracturing propagation is strongly influenced by the existence of natural fractures. This is a very important factor in hydraulic fracturing operations in unconventional reservoirs. Various studies have been done to consider the effect of different parameters such as stress anisotropy, toughness, angle of approach and fluid properties on interaction mechanisms including crossing, ...

Relativistic Hydrodynamics and other topics in Numerical Relativity

Numerical Relativistic Hydrodynamics Based on the Total Variation Diminishing Scheme

This paper describes a multidimensional hydrodynamic code which can be used for studies of relativistic astrophysical flows. The code solves the special relativistic hydrodynamic equations as a hyperbolic system of conservation laws based on the total variation diminishing (TVD) scheme. It uses a new set of conserved quantities and employs an analytic formula for transformation from the conserv...

WHAM: A WENO-based general relativistic numerical scheme I: Hydrodynamics

Active galactic nuclei, x-ray binaries, pulsars, and gamma-ray bursts are all believed to be powered by compact objects surrounded by relativistic plasma flows driving phenomena such as accretion, winds, and jets. These flows are often accurately modelled by the relativistic magnetohydrodynamics (MHD) approximation. Timedependent numerical MHD simulations have proven to be especially insightful...