Numerical {3 + 1} General Relativistic Hydrodynamics: A Local Characteristic Approach

1997 ◽  
Vol 476 (1) ◽  
pp. 221-231 ◽  
Author(s):  
Francesc Banyuls ◽  
Jose A. Font ◽  
Jose Ma. Ibanez ◽  
Jose Ma. Marti ◽  
Juan A. Miralles
Keyword(s):  
Local Characteristic ◽  
Relativistic Hydrodynamics ◽  
General Relativistic

scholarly journals General relativistic hydrodynamics on a moving-mesh I: static space–times

2020 ◽  
Vol 496 (1) ◽  
pp. 206-214
Author(s):  
Philip Chang ◽  
Zachariah B Etienne
Keyword(s):  
Initial Pressure ◽  
Second Order ◽  
Moving Mesh ◽  
Central Density ◽  
Relativistic Hydrodynamics ◽  
Time Stepping ◽  
Spatial Reconstruction ◽  
General Relativistic ◽  
Mesh Grid ◽  
Static Space

ABSTRACT We present the moving-mesh general relativistic hydrodynamics solver for static space–times as implemented in the code, MANGA. Our implementation builds on the architectures of MANGA and the numerical relativity python package NRPy+. We review the general algorithm to solve these equations and, in particular, detail the time-stepping; Riemann solution across moving faces; conversion between primitive and conservative variables; validation and correction of hydrodynamic variables; and mapping of the metric to a Voronoi moving-mesh grid. We present test results for the numerical integration of an unmagnetized Tolman–Oppenheimer–Volkoff star for 24 dynamical times. We demonstrate that at a resolution of 106 mesh generating points, the star is stable and its central density drifts downwards by 2 per cent over this time-scale. At a lower resolution, the central density drift increases in a manner consistent with the adopted second-order spatial reconstruction scheme. These results agree well with the exact solutions, and we find the error behaviour to be similar to Eulerian codes with second-order spatial reconstruction. We also demonstrate that the new code recovers the fundamental mode frequency for the same TOV star but with its initial pressure depleted by 10 per cent.

scholarly journals Numerical 3+1 General Relativistic Magnetohydrodynamics: A Local Characteristic Approach

2006 ◽  
Vol 637 (1) ◽  
pp. 296-312 ◽  
Author(s):  
Luis Anton ◽  
Olindo Zanotti ◽  
Juan A. Miralles ◽  
Jose M. Marti ◽  
Jose M. Ibanez ◽  
...  
Keyword(s):  
Local Characteristic ◽  
General Relativistic ◽  
Relativistic Magnetohydrodynamics

scholarly journals High-order fully general-relativistic hydrodynamics: new approaches and tests

2014 ◽  
Vol 31 (7) ◽  
pp. 075012 ◽  
Author(s):  
David Radice ◽  
Luciano Rezzolla ◽  
Filippo Galeazzi
Keyword(s):  
High Order ◽  
Relativistic Hydrodynamics ◽  
New Approaches ◽  
General Relativistic
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