Code development of three-dimensional general relativistic hydrodynamics with AMR (adaptive-mesh refinement) and results from special and general relativistic hydrodynamics

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dc.contributor.authorDonmez, O
dc.date.accessioned2019-08-01T13:38:39Z
dc.date.available2019-08-01T13:38:39Z
dc.date.issued2004
dc.departmentNiğde ÖHÜ
dc.description.abstractIn 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.
dc.identifier.doi10.1023/B:ASTR.0000044610.53714.95
dc.identifier.endpage354
dc.identifier.issn0004-640X
dc.identifier.issue3
dc.identifier.startpage323
dc.identifier.urihttps://dx.doi.org/10.1023/B:ASTR.0000044610.53714.95
dc.identifier.urihttps://hdl.handle.net/11480/5685
dc.identifier.volume293
dc.identifier.wosWOS:000224437000005
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.institutionauthorDonmez, O
dc.language.isoen
dc.publisherKLUWER ACADEMIC PUBL
dc.relation.ispartofASTROPHYSICS AND SPACE SCIENCE
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectnumerical relativity
dc.subjecthydrodynamic
dc.subjectshock tube
dc.subjectfluid mechanic
dc.subjectadaptive-mesh refinement
dc.subjectblack hole
dc.subjectaccretion disk
dc.titleCode development of three-dimensional general relativistic hydrodynamics with AMR (adaptive-mesh refinement) and results from special and general relativistic hydrodynamics
dc.typeArticle

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