Entropy based flux limiting scheme for conservation laws

• DOI: 10.48550/arxiv.2401.04770
• Publication Date: 2024-01-01
• Authors: Georgios Doulis; Sebastiano Bernuzzi; Wolfgang Tichy
• Keywords: Conservation law

The construction of high-resolution shock-capturing schemes is vital in producing highly accurate gravitational waveforms from neutron star binaries. entropy based flux limiting (EFL) scheme able to perform fast converging binary merger simulations reaching up fourth-order convergence the waveform phase. Here, we extend applicability EFL method beyond special/general relativistic hydrodynamics scalar conservation laws and show how treat systems without a thermodynamic entropy. This an indication that has universal any system partial differential equations can be written form. We also present some further very challenging applications use it construct eccentricity reduced initial data for specific optimal fifth-order phase this simulation.