Relativistic flows appear in many high-energy astrophysical phenomena in which the magnetic field has a crucial role in dynamics. For example, magnetic fields connecting an accretion disk with a central star, or, different points of accretion disks are twisted and amplified due to the differential rotation, launching jets. Also magnetic fields play an important role in accretion disks to transp...

An activity of many compact objects – Active Galactic Nuclei (AGNs), Young Stellar Objects (YSOs), microquasars – is associated with the highly collimated jets. These jets are thought to be a natural outlet of an excess angular momentum of a central object and accreting matter [1]. The latest observations indicating the jet rotation in AGNs [2] and YSOs [3] support this idea. The most attractiv...

A new parallel code based on models of special relativistic hydrodynamics is presented for describing interacting flows. highly accurate numerical method considered and verified. implementation the by means Coarray Fortran technology its efficiency are described in detail. The scalability 92% a cluster with Intel Xeon 6248R NKS-1P 192 images. Different flows as astrophysical applications.

Black hole accretion flows are the hot, magnetized, turbulent plasma that surround black holes in astrophysical settings and in some cases make them the most luminous objects in the universe. I review recent developments in the numerical modeling of these plasmas. For weakly radiating flows it is now possible to follow the dynamics of the plasma by integrating the equations of general relativis...

In low-collisionality plasmas, anisotropic heat conduction due to a magnetic field leads to buoyancy instabilities for any nonzero temperature gradient. We study analogous instabilities in degenerate collisional plasmas, i.e., when the electron collision frequency is large compared to the electron cyclotron frequency. Although heat conduction is nearly isotropic in this limit, the small residua...