Code development of three-dimensional general relativistic hydrodynamics with AMR (adaptive-mesh refinement) and results from special and general relativistic hydrodynamics
Küçük Resim Yok
Tarih
2004
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
KLUWER ACADEMIC PUBL
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
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 GRH equations are obtained by high resolution shock Capturing schemes (HRSC), specifically designed to solve nonlinear 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 one, two and three dimensions. 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 GRH equations are tested using two different test problems which are Geodesic flow and Circular motion of particle In order to do 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.
Açıklama
Anahtar Kelimeler
numerical relativity, hydrodynamic, shock tube, fluid mechanic, adaptive-mesh refinement, black hole, accretion disk
Kaynak
ASTROPHYSICS AND SPACE SCIENCE
WoS Q Değeri
Q4
Scopus Q Değeri
Cilt
293
Sayı
3
