Rio: A new computational framework for accurate initial data of binary black holes
| Autor: | P. C. M. Clemente, H. P. de Oliveira, W. O. Barreto, Beltran Rodriguez-Mueller |
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| Rok vydání: | 2018 |
| Předmět: |
Physics
Physics and Astronomy (miscellaneous) 010308 nuclear & particles physics Gaussian FOS: Physical sciences Conformal map Domain decomposition methods General Relativity and Quantum Cosmology (gr-qc) 01 natural sciences LU decomposition General Relativity and Quantum Cosmology law.invention Matrix decomposition Numerical relativity symbols.namesake Hamiltonian constraint Binary black hole law 0103 physical sciences symbols Applied mathematics 010306 general physics |
| DOI: | 10.48550/arxiv.1803.05833 |
| Popis: | We present a computational framework (Rio) in the ADM 3+1 approach for numerical relativity. This work enables us to carry out high resolution calculations for initial data of two arbitrary black holes. We use the transverse conformal treatment, the Bowen-York and the puncture methods. For the numerical solution of the Hamiltonian constraint we use the domain decomposition and the spectral decomposition of Galerkin-Collocation. The nonlinear numerical code solves the set of equations for the spectral modes using the standard Newton-Raphson method, LU decomposition and Gaussian quadratures. We show the convergence of the Rio code. This code allows for easy deployment of large calculations. We show how the spin of one of the black holes is manifest in the conformal factor. Comment: 15 pages, 6 figures; updated version to appear in Gen. Rel. Grav |
| Databáze: | OpenAIRE |
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