Numerical Hydrodynamics in General Relativity
The current status of numerical solutions for the equations of ideal general relativistic hydrodynamics is reviewed. With respect to an earlier version of the article, the present update provides additional information on numerical schemes, and extends the discussion of astrophysical simulations in...
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| Fformat: | Erthygl |
| Iaith: | English |
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SpringerOpen
2003-01-01
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| Cyfres: | Living Reviews in Relativity |
| Pynciau: | |
| Mynediad Ar-lein: | http://www.livingreviews.org/lrr-2003-4 |
| _version_ | 1831549582644871168 |
|---|---|
| author | Font José A. |
| author_facet | Font José A. |
| author_sort | Font José A. |
| collection | DOAJ |
| description | The current status of numerical solutions for the equations of ideal general relativistic hydrodynamics is reviewed. With respect to an earlier version of the article, the present update provides additional information on numerical schemes, and extends the discussion of astrophysical simulations in general relativistic hydrodynamics. Different formulations of the equations are presented, with special mention of conservative and hyperbolic formulations well-adapted to advanced numerical methods. A large sample of available numerical schemes is discussed, paying particular attention to solution procedures based on schemes exploiting the characteristic structure of the equations through linearized Riemann solvers. A comprehensive summary of astrophysical simulations in strong gravitational fields is presented. These include gravitational collapse, accretion onto black holes, and hydrodynamical evolutions of neutron stars. The material contained in these sections highlights the numerical challenges of various representative simulations. It also follows, to some extent, the chronological development of the field, concerning advances on the formulation of the gravitational field and hydrodynamic equations and the numerical methodology designed to solve them. |
| first_indexed | 2024-12-17T02:38:54Z |
| format | Article |
| id | doaj.art-6feff1d3fb0f4b7ab8df31c8841e6cda |
| institution | Directory Open Access Journal |
| issn | 1433-8351 |
| language | English |
| last_indexed | 2024-12-17T02:38:54Z |
| publishDate | 2003-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Living Reviews in Relativity |
| spelling | doaj.art-6feff1d3fb0f4b7ab8df31c8841e6cda2022-12-21T22:06:46ZengSpringerOpenLiving Reviews in Relativity1433-83512003-01-0164Numerical Hydrodynamics in General RelativityFont José A.The current status of numerical solutions for the equations of ideal general relativistic hydrodynamics is reviewed. With respect to an earlier version of the article, the present update provides additional information on numerical schemes, and extends the discussion of astrophysical simulations in general relativistic hydrodynamics. Different formulations of the equations are presented, with special mention of conservative and hyperbolic formulations well-adapted to advanced numerical methods. A large sample of available numerical schemes is discussed, paying particular attention to solution procedures based on schemes exploiting the characteristic structure of the equations through linearized Riemann solvers. A comprehensive summary of astrophysical simulations in strong gravitational fields is presented. These include gravitational collapse, accretion onto black holes, and hydrodynamical evolutions of neutron stars. The material contained in these sections highlights the numerical challenges of various representative simulations. It also follows, to some extent, the chronological development of the field, concerning advances on the formulation of the gravitational field and hydrodynamic equations and the numerical methodology designed to solve them.http://www.livingreviews.org/lrr-2003-4Numerical Relativity |
| spellingShingle | Font José A. Numerical Hydrodynamics in General Relativity Living Reviews in Relativity Numerical Relativity |
| title | Numerical Hydrodynamics in General Relativity |
| title_full | Numerical Hydrodynamics in General Relativity |
| title_fullStr | Numerical Hydrodynamics in General Relativity |
| title_full_unstemmed | Numerical Hydrodynamics in General Relativity |
| title_short | Numerical Hydrodynamics in General Relativity |
| title_sort | numerical hydrodynamics in general relativity |
| topic | Numerical Relativity |
| url | http://www.livingreviews.org/lrr-2003-4 |
| work_keys_str_mv | AT fontjosea numericalhydrodynamicsingeneralrelativity |