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Evolutions in 3D numerical relativity using fixed mesh refinement

10 Pith papers cite this work. Polarity classification is still indexing.

10 Pith papers citing it
abstract

We present results of 3D numerical simulations using a finite difference code featuring fixed mesh refinement (FMR), in which a subset of the computational domain is refined in space and time. We apply this code to a series of test cases including a robust stability test, a nonlinear gauge wave and an excised Schwarzschild black hole in an evolving gauge. We find that the mesh refinement results are comparable in accuracy, stability and convergence to unigrid simulations with the same effective resolution. At the same time, the use of FMR reduces the computational resources needed to obtain a given accuracy. Particular care must be taken at the interfaces between coarse and fine grids to avoid a loss of convergence at higher resolutions, and we introduce the use of "buffer zones" as one resolution of this issue. We also introduce a new method for initial data generation, which enables higher-order interpolation in time even from the initial time slice. This FMR system, "Carpet", is a driver module in the freely available Cactus computational infrastructure, and is able to endow generic existing Cactus simulation modules ("thorns") with FMR with little or no extra effort.

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method 2 background 1

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fields

gr-qc 10

years

2026 6 2025 4

representative citing papers

Electromagnetic duality degeneracy in dynamical black hole mergers

gr-qc · 2026-05-19 · unverdicted · novelty 7.0 · 2 refs

Numerical relativity simulations of charged black hole mergers demonstrate identical gravitational dynamics across electromagnetic duality rotations, with electromagnetic radiation polarization rotated by the duality angle.

Lessons from binary dynamics of inspiralling equal-mass boson-star mergers

gr-qc · 2026-04-28 · unverdicted · novelty 7.0

Numerical simulations of equal-mass boson-star mergers reveal larger waveform deviations from black-hole binaries in late inspiral and merger, plus odd multipole excitations for certain scalar-field phases, with some signals degenerate until IMR consistency tests are applied.

Ringdown and lensing of triple systems

gr-qc · 2026-05-19 · conditional · novelty 6.0

Head-on black-hole mergers next to a companion show Doppler- and redshift-shifted ringdown, lensing magnification behind the lens, and delayed echo images, with only tentative signs of resonant mode excitation.

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