Astronomy and Astrophysics – Astronomy
Scientific paper
Feb 1997
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997apj...476..221b&link_type=abstract
Astrophysical Journal v.476, p.221
Astronomy and Astrophysics
Astronomy
132
Hydrodynamics, Methods: Numerical, Relativity, Shock Waves
Scientific paper
We present a general procedure to solve numerically the three-dimensional general relativistic hydrodynamic system of equations within the framework of the {3 + 1} formalism. The equations are written in conservation form to exploit their hyperbolic character. We derive the theoretical ingredients that are necessary in order to build up a numerical scheme based on the solution of local Riemann problems. Hence the spectral decomposition of the Jacobian matrices of the system, i.e., the eigenvalues and eigenvectors, is explicitly shown. We have taken advantage of the analytic solution of the relativistic Riemann problem, recently derived in Minkowski spacetime, to extend the well-known battery of standard shock tube tests to general spacetimes as an important tool for calibrating any hydrocode. A selection of spherical and nonspherical accretion scenarios is presented and compared with the corresponding analytic or numerical solutions obtained by previous authors.
Banyuls Francesc
Font José A.
Ibanez Jose M. A.
Marti Jose M. A.
Miralles Juan A.
No associations
LandOfFree
Numerical {3+1} General Relativistic Hydrodynamics: A Local Characteristic Approach does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Numerical {3+1} General Relativistic Hydrodynamics: A Local Characteristic Approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Numerical {3+1} General Relativistic Hydrodynamics: A Local Characteristic Approach will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1775351