The new discontinuous Galerkin methods based numerical relativity program Nmesh
arXiv:2212.06340 · doi:10.1088/1361-6382/acaae7
Abstract
Interpreting gravitational wave observations and understanding the physics of astrophysical compact objects such as black holes or neutron stars requires accurate theoretical models. Here, we present a new numerical relativity computer program, called Nmesh, that has the design goal to become a next generation program for the simulation of challenging relativistic astrophysics problems such as binary black hole or neutron star mergers. In order to efficiently run on large supercomputers, Nmesh uses a discontinuous Galerkin method together with a domain decomposition and mesh refinement that parallelizes and scales well. In this work, we discuss the various numerical methods we use. We also present results of test problems such as the evolution of scalar waves, single black holes and neutron stars, as well as shock tubes. In addition, we introduce a new positivity limiter that allows us to stably evolve single neutron stars without an additional artificial atmosphere, or other more traditional limiters.
44 pages, 17 figures
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- Performance-Portable Binary Neutron Star Mergers with AthenaK
- Boson star head-on collisions with constraint-violating and constraint-satisfying initial data
- Adaptive mesh refinement in binary black holes simulations
- Simulating binary black hole mergers using discontinuous Galerkin methods
- General relativistic force-free electrodynamics with a discontinuous Galerkin-finite difference hybrid method
- Well-balanced high order finite difference WENO schemes for a first-order Z4 formulation of the Einstein field equations
- High-order discontinuous Galerkin schemes with subcell finite volume limiter and adaptive mesh refinement for a monolithic first-order BSSNOK formulation of the Einstein-Euler equations
- Discontinuous Galerkin scheme for elliptic equations on extremely stretched grids
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- Neutron star evolution by combining discontinuous Galerkin and finite volume methods
- superB/NRPy: Scalable, Task-Based Numerical Relativity for 3G Gravitational Wave Science