Construction of eccentricity reduced initial data for neutron star binaries with the entropy based flux limiting scheme

Summary

The Entropy-Based Flux Limiting (EFL) scheme is used to construct eccentricity-reduced initial data for neutron star binaries, achieving up to fifth-order convergence in gravitational waveform phase.

Highlights

• The EFL method is used in the construction of initial data through the eccentricity reduction process.
• The method is applied to two binary neutron star configurations: BAM:95 and MPA1q1.6.
• The EFL scheme is compared to the High-Order Lax-Friedrichs (HO-LLF) method.
• The simulations demonstrate the robustness of the EFL method in capturing non-smooth features.
• The EFL method achieves fifth-order convergence in the dominant (2,2)-mode of the strain.
• The method also shows fifth-order convergence in subdominant modes such as (3,2) and (4,4).
• The EFL scheme is suitable for detailed post-merger investigations.

Key Insights

• The use of the EFL method in the construction of initial data significantly enhances the accuracy and convergence properties of binary neutron star simulations.
• The EFL scheme is able to capture non-smooth features throughout the inspiral, merger, and post-merger phases, demonstrating its reliability in complex dynamical conditions.
• The method's ability to adapt and accurately resolve the unique dynamics of each scenario is highlighted by the differences in the entropy production profiles between the BAM:95 and MPA1q1.6 simulations.
• The EFL scheme's fifth-order convergence in the dominant (2,2)-mode of the strain is a notable improvement over the HO-LLF method.
• The method's suitability for detailed post-merger investigations is demonstrated by its ability to accurately capture the intense and highly dynamic interactions characterizing the remnant neutron star.
• The EFL scheme's robust performance highlights its potential as a valuable tool for producing high-quality waveforms suitable for precision gravitational wave astronomy.
• The incorporation of the EFL scheme into the construction of initial data marks a significant advancement in the field of numerical relativity.

Mindmap

Citation

Doulis, G., Bernuzzi, S., & Tichy, W. (2024). Construction of eccentricity reduced initial data for neutron star binaries with the entropy based flux limiting scheme (Version 1). arXiv. https://doi.org/10.48550/ARXIV.2412.17863