2004/06/18 by Orhan Donmez, Orhan Dönmez · 49 citations
Engineering · Physics and Astronomy · #Active galactic nucleus #Adaptive mesh refinement #Astrophysical Phenomena and Observations #Astrophysical jet #Astrophysics #Classical mechanics #Code (set theory) #Computational Fluid Dynamics and Aerodynamics #Computer science #Cosmology #Physics #Programming language #Quantum mechanics #Relativistic quantum chemistry #Superconducting Materials and Applications #Theoretical physics #gr-qc
paper · pdf · doi:10.1023/b:astr.0000044610.53714.95
published in Astrophysics and Space Science 293(3), 323-354 (Springer Science+Business Media) · 18 pages, 13 figures. Accepted for publication in Astrophysics and Space Science
arxiv created 2004/06/18 · openalex publication_date 2004/09/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this paper, the general procedure to solve the General Relativistic Hydrodynamical(GRH) equations with Adaptive-Mesh Refinement (AMR) is presented. In order to achieve, the GRH equations are written in the conservation form to exploit their hyperbolic character. The numerical solutions of general relativistic hydrodynamic equations are done by High Resolution Shock Capturing schemes (HRSC), specifically designed to solve non-linear hyperbolic systems of conservation laws. These schemes depend on the characteristic information of the system. The Marquina fluxes with MUSCL left and right states are used to solve GRH equations. First, different test problems with uniform and AMR grids on the special relativistic hydrodynamics equations are carried out to verify the second order convergence of the code in 1D, 2D and 3D. Results from uniform and AMR grid are compared. It is found that adaptive grid does a better job when the number of resolution is increased. Second, the general relativistic hydrodynamical equations are tested using two different test problems which are Geodesic flow and Circular motion of particle In order to this, the flux part of GRH equations is coupled with source part using Strang splitting. The coupling of the GRH equations is carried out in a treatment which gives second order accurate solutions in space and time.