📄 Comparing Models of Rapidly Rotating Relativistic Stars Constructed b…

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Stergioulas, Nikolaos et al. (1995) · The Astrophysical Journal
Reads: 100 · Citations: 521
DOI: 10.1086/175605

🔗 https://ui.adsabs.harvard.edu/abs/1995ApJ...444..306S/abstract

#Astronomy #Astrophysics #ComputationalAstrophysics #ComputerizedSimulation #NumericalAnalysis

Comparing Models of Rapidly Rotating Relativistic Stars Constructed by Two Numerical Methods

We present the first direct comparison of codes based on two different numerical methods for constructing rapidly rotating relativistic stars. A code based on the Komatsu-Eriguchi-Hachisu (KEH) method (Komatsu et al. 1989), written by Stergioulas, is compared to the Butterworth-Ipser code (BI), as modified by Friedman, Ipser and Parker. We compare models obtained by each method and evaluate the accuracy and efficiency of the two codes. The agreement is surprisingly good. A relatively large discrepancy recently reported (Eriguchi et al. 1994) is found to arise from the use of two different versions of the equation of state. We find, for a given equation of state, that equilibrium models with maximum values of mass, baryon mass, and angular momentum are (generically) all distinct and either all unstable to collapse or are all stable. Our implementation of the KEH method will be available as a public domain program for interested users.

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📄 A Comparison of Numerical Methods for the Study of Star Cluster Dynam…

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Aarseth, S. J. et al. (1974) · Astronomy and Astrophysics
Reads: 5 · Citations: 254
DOI: N/A

🔗 https://ui.adsabs.harvard.edu/abs/1974A&A....37..183A/abstract

#Astronomy #Astrophysics #AstronomicalModels #ComputerizedSimulation #NumericalAnalysis

A Comparison of Numerical Methods for the Study of Star Cluster Dynamics

We compare the results of three different numerical methods for computing the evolution of a spherical star cluster from a given initial state, under the influence of internal relaxation: the N-body integration, the Monte Carlo method, and the fluid-dynamical approach. The general features of the evolution are very similar in all cases. The rates of evolution differ somewhat; for stars of equal masses, taking the N-body integrations as a reference, the Monte Carlo models evolve too fast by a factor 1.5, and the fluid-dynamical models by a factor 2 to 3.

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