Astronomy and Astrophysics – Astrophysics
Scientific paper
Feb 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994a%26a...282..304f&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 282, no. 1, p. 304-314
Astronomy and Astrophysics
Astrophysics
46
Capture Effect, High Resolution, Hydrodynamics, Jacobi Matrix Method, Oblique Shock Waves, Relativistic Effects, Relativity, Astronomical Models, Computerized Simulation, Conservation Laws, Mathematical Models, Spectral Methods
Scientific paper
We have derived the spectral decomposition of the Jacobian matrices associated to the fluxes of the three-dimensional special relativistic hydrodynamics system of equations. The interest of this analysis, both from the theoretical and from the numerical point of view, is discussed. We have extended modern high-resolution shock-capturing methods to the multidimensional relativistic hydrodynamics as the natural prolongation of our previous work in the one-dimensional case. Two severe tests show the performance of our numerical proposal.
Font José A.
Ibanez Miguel J.
Marquina A.
Marti Jose Ma.
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