2004
DOI: 10.1103/physrevd.70.124025
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Evolving a puncture black hole with fixed mesh refinement

Abstract: We present an algorithm for treating mesh refinement interfaces in numerical relativity. We detail the behavior of the solution near such interfaces located in the strong field regions of dynamical black hole spacetimes, with particular attention to the convergence properties of the simulations. In our applications of this technique to the evolution of puncture initial data with vanishing shift, we demonstrate that it is possible to simultaneously maintain second order convergence near the puncture and extend … Show more

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Cited by 55 publications
(74 citation statements)
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References 24 publications
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“…where u 0 is the value of the function u at the puncture and m is the mass parameter in (20). Figure 10 shows the maximum radiation content of a number of single black-hole initial-data sets, and a comparison with similar cases for Bowen-York puncture black holes.…”
Section: A Single Boosted Ctsp Black Holementioning
confidence: 99%
See 2 more Smart Citations
“…where u 0 is the value of the function u at the puncture and m is the mass parameter in (20). Figure 10 shows the maximum radiation content of a number of single black-hole initial-data sets, and a comparison with similar cases for Bowen-York puncture black holes.…”
Section: A Single Boosted Ctsp Black Holementioning
confidence: 99%
“…We will focus on the momentum constraint, which takes the form Laguna considered if we choose u = v = 0 (or u = v = 1 in Laguna's notation). The conformal factor and lapse splittings (20) and (21) are then…”
Section: A Single Black Hole With Linear Momentummentioning
confidence: 99%
See 1 more Smart Citation
“…The equal-mass runs were carried out with our Hahndol evolution code [32] using the Paramesh meshrefinement infrastructure [33]. The new X4 00 data, however, uses Hahndol paired with the Einstein Toolkit [34] release of the Cactus Computational Toolkit [35] and the Carpet mesh-refinement driver [36].…”
Section: Simulationsmentioning
confidence: 99%
“…Refs. [9,[11][12][13][14][15][16][17][18][19]). This technology allows groups to push their computational boundaries to very large coordinate distances, reducing the effects of incoming radiation and constraint violating modes introduced by applying boundary conditions at a finite distance.…”
Section: Introductionmentioning
confidence: 99%