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Numerical simulation and wave extrac...

Imbiriba, Breno Cesar de Oliveira.

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Numerical simulation and wave extraction of binary black hole system.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Numerical simulation and wave extraction of binary black hole system./
作者:	Imbiriba, Breno Cesar de Oliveira.
面頁冊數:	237 p.
附註:	Adviser: Dieter Brill.
Contained By:	Dissertation Abstracts International68-04B.
標題:	Physics, Theory. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3260270

Numerical simulation and wave extraction of binary black hole system.
Imbiriba, Breno Cesar de Oliveira.

Numerical simulation and wave extraction of binary black hole system. - 237 p.

Adviser: Dieter Brill.

Thesis (Ph.D.)--University of Maryland, College Park, 2007.

In the first part of this work, we apply finite difference methods, specially mesh refinement techniques, in order to numerically evolve a single black hole, which is represented by the puncture initial data. We use standard second order finite differences, and the second order Iterated Crank-Nicholson integrator. We observe that, in order to obtain a second order accurate evolution we must impose second order accurate interface conditions at the refinement boundaries. We test our evolution with both the geodesic and the 1+log slicing conditions, and observe the expected results. We conclude that our mesh refinement technique generates convergent evolutions, and the puncture method behaves very well with it.Subjects--Topical Terms:

1019422
Physics, Theory.

Numerical simulation and wave extraction of binary black hole system.
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100 1 $a Imbiriba, Breno Cesar de Oliveira. $3 1266198
245 1 0 $a Numerical simulation and wave extraction of binary black hole system.
300 $a 237 p.
500 $a Adviser: Dieter Brill.
500 $a Source: Dissertation Abstracts International, Volume: 68-04, Section: B, page: 2428.
502 $a Thesis (Ph.D.)--University of Maryland, College Park, 2007.
520 $a In the first part of this work, we apply finite difference methods, specially mesh refinement techniques, in order to numerically evolve a single black hole, which is represented by the puncture initial data. We use standard second order finite differences, and the second order Iterated Crank-Nicholson integrator. We observe that, in order to obtain a second order accurate evolution we must impose second order accurate interface conditions at the refinement boundaries. We test our evolution with both the geodesic and the 1+log slicing conditions, and observe the expected results. We conclude that our mesh refinement technique generates convergent evolutions, and the puncture method behaves very well with it.
520 $a The second part of this work deals with a modification of the hybrid "Lazarus" method for wave extraction. This method is divided in three parts: an early evolution, a set of transformations to produce perturbations over a Kerr background from the numerical data, and Teukolsky evolution. By using our evolution code (with mesh refinement) and gauges (1+log, gamma-driver, shifting-shift), we deviate from the original Lazarus approach. We used an independent implementation of the Lazarus transformations, validating the original results, and of the Teukolsky equation. We obtained results similar to the original Lazarus, both on the waveforms as well as on the negative results at later times. For instance, strong pulses that contaminate some gauge transformations, which may be explained in part by the propagating gauge modes of the 1+log slicing. Increasing the accuracy of the initial black hole evolution we seem to obtain better final results for the Kerr test case. Because of the gauge problems, we develop an approximated embedding method which approximates location of the numerical slice into the Kerr spacetime. This method is much less sensitive to the gauge perturbations. Given the difficulties of the Lazarus procedure, we decide to use the Lazarus method as a wave extraction tool. Using this embedding technique we developed the "spacelike" wave extraction method. Our preliminary result is consistent with the numerical waveforms for at least three cycles. Although we see some differences, it is too early to claim physical reality on them.
590 $a School code: 0117.
650 4 $a Physics, Theory. $3 1019422
690 $a 0753
710 2 $a University of Maryland, College Park. $b Physics. $3 1266199
773 0 $t Dissertation Abstracts International $g 68-04B.
790 $a 0117
790 1 0 $a Brill, Dieter, $e advisor
791 $a Ph.D.
792 $a 2007
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3260270