Numerical Simulation of Rotating Accretion Disk Around the Schwarzschild Black Hole Using GRH Code

dc.creatorDonmez, Orhan
dc.date2005-12-09
dc.date.accessioned2026-07-07T06:53:56Z
dc.date.available2026-07-07T06:53:56Z
dc.descriptionThe 2D time dependent solution of thin accretion disk in a close binary system have been presented on the equatorial plane around the Schwarzschild black hole. To do that, the special part of the General Relativistic Hydrodynamical(GRH) equations are solved using High Resolution Shock Capturing (HRSC) schemes. The spiral shock waves on the accretion disk are modeled using perfect fluid equation of state with adiabatic indices $γ= 1.05, 1.2$ and 5/3. The results show that the spiral shock waves are created for gammas except the case $γ=5/3$. These results consistent with results from Newtonian hydrodynamic code except close to black hole. Newtonian approximation does not give good solution while matter closes to black hole. Our simulations illustrate that the spiral shock waves are created close to black hole and the location of inner radius of spiral shock wave is around $10M$ and it depends on the specific heat rates. We also find that the smaller $γ$ is the more tightly the spiral winds.
dc.description19 pages 11 figures
dc.identifierhttps://arxiv.org/abs/gr-qc/0512060
dc.identifierhttp://arxiv.org/abs/gr-qc/0512060
dc.identifierAppl.Math.Comput. 175 (2006) 902-922
dc.identifierdoi:10.1016/j.amc.2005.08.009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105765
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleNumerical Simulation of Rotating Accretion Disk Around the Schwarzschild Black Hole Using GRH Code
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