Implicit general relativistic hydrodynamic methods for modeling the late-time explosion mechanism in core collapse supernovae

Details Implicit general relativistic hydrodynamic methods for modeling the late-time explosion mechanism in core collapse supernovae Implicit general relativistic hydrodynamic methods for modeling the late-time explosion mechanism in core collapse supernovae

Jun 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995apj...445..811s&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 445, no. 2, p. 811-827

Computer Science

Performance

11

Chronology, Explosions, Gravitational Collapse, Hydrodynamic Equations, Relativistic Effects, Stellar Cores, Stellar Models, Supernovae, Algorithms, Finite Difference Theory, Neutrinos, Pressure Effects, Shock Waves, Time Lag

Scientific paper

One of the difficulties in numerically modeling supernovae is the great disparity in timescales present in the phenomena. The late-time explosion mechanism is thought to take place on timescales of seconds while the Courant-Friedrichs-Lewy (CFL) stability timescale for explicit hydrodynamic techniques is typically a fraction of a microsecond. We present an implicit finite difference algorithm with variable time centering for solving the equations of general relativistic Langrangean hydrodynamics in the case of spherical symmetry. The use of an implicit algorithm circumvents the CFL stability criterion, thus allowing substantially longer time steps in numerical simulations. The major motivation for this work is to allow us to conduct numerical simulations of the late-time neutrino reheating mechanism for supernovae explosions. In addition to presenting the finite difference scheme for the general relativistic hydrodynamics equations, we discuss the numerical strategy for solving these equations. Finally, and perhaps most important, we evaluate the performance of this scheme on several standard hydrodynamic test problems. The results of the implicit scheme for the test problems are compared to those of a widely used explicit scheme for the purpose of code validation. These tests also serve the secondary purpose of exploring the performance of the explicit algorithm.

Affiliated with

Also associated with

No associations

Rating

Implicit general relativistic hydrodynamic methods for modeling the late-time explosion mechanism in core collapse supernovae 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 Implicit general relativistic hydrodynamic methods for modeling the late-time explosion mechanism in core collapse supernovae, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Implicit general relativistic hydrodynamic methods for modeling the late-time explosion mechanism in core collapse supernovae will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1202245