Numerical simulation of the accretion of mass onto a black hole

Dey, Pranayjit (2023) Numerical simulation of the accretion of mass onto a black hole. Masters thesis, Indian Institute of Science Education and Research Kolkata.

Text (MS dissertation of Pranayjit Dey (18MS171)) Thesis_18MS171.pdf - Submitted Version Restricted to Repository staff only Download (3MB)

Abstract

The study of fluid dynamics in the vicinity of a black hole has been conducted through the utilization of the equations of general relativistic hydrodynamics (GRHD). A numerical solution has been devised for the general relativistic hydrodynamic system of equations in three dimensions, utilizing the 3+1 formalism. The present study concerns the derivation of the requisite theoretical components for constructing a numerical algorithm predicated on the resolution of local Riemann problems. Subsequently, we investigate the temporal progression of Bondi accretion flows and sub-Keplerian transonic accretion flows onto black holes through the utilization of a numerical simulation code that incorporates general relativity. Simulations are conducted within the Schwarzschild space-time framework. Initially, we compare the outcomes of our one-dimensional simulation with the theoretical results to authenticate the efficacy of our code. Subsequently, the outcomes of the axisymmetric and two-dimensional simulation of advective currents are exhibited. Shortcomings of the code and future improvements have been discussed.

Actions (login required)

View Item