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Evolutions in 3D numerical relativity using fixed mesh refinement

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

9 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 9

years

2026 5 2025 4

representative citing papers

Multimessenger Signatures of Tilted, Self-Gravitating, Black Hole Disks

gr-qc · 2026-04-03 · unverdicted · novelty 8.0

Tilted massive black hole disks develop persistent m=1 nonaxisymmetric modes, launch Blandford-Znajek jets whose collimation depends on spin orientation, and emit gravitational waves in the first self-consistent GRMHD simulations of such systems.

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.

The third wheel: ringdown and lensing of triple systems

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

Numerical relativity simulations of triple black hole systems reveal redshift effects and gravitational lensing in ringdown signals from head-on mergers, with no additional black hole formation from amplified waves.

Spin-up and mass-gain in hyperbolic encounters of spinning black holes

gr-qc · 2025-10-31 · unverdicted · novelty 6.0

Numerical relativity simulations of equal-mass black holes with initial spins from -0.7 to 0.7 in hyperbolic encounters find maximum spin-up of 0.3 and mass increase of 15%, with spin-up decreasing linearly with initial spin at the threshold angle.

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