Conformally Flat Hydrodynamic Calculations with a Spectral Methods Field Solver

Details Conformally Flat Hydrodynamic Calculations with a Spectral Methods Field Solver Conformally Flat Hydrodynamic Calculations with a Spectral Methods Field Solver

Oct 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003aipc..686..289f&link_type=abstract

THE ASTROPHYSICS OF GRAVITATIONAL WAVE SOURCES. AIP Conference Proceedings, Volume 686, pp. 289-292 (2003).

Other

Gravitational Radiation, Magnetic Fields, And Other Observations, Cataclysmic Binaries, Symbiotic Stars, Neutron Stars, Hydrodynamics

Scientific paper

We present the first results from our new relativistic hydrodynamics code. Using the equations of the conformally flat (CF) formalism, we solve for the fields using the LORENE libraries, developed by the Meudon group. These libraries, previously used for high-accuracy studies of equilibria, have been combined with a smoothed particle hydrodynamics (SPH) evolution treatment, to allow for a combination of high accuracy as well as computational speed. We have tested the resulting code extensively, finding that it performs well for calculations of a collapsing relativistic dust cloud as well as single-star configurations, for which the exact matter and field solution can be computed. We have also tested the code by computing the orbits of binary neutron stars, with the effects of radiation reaction not included, finding good long-term stability. We have used the code, with an approximate treatment of radiation reaction, to study the case of merging neutron star binaries, finding that we can successfully compute the fields even as the stars become tidally disrupted during the mergers.

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