Galerkin-Collocation domain decomposition method for arbitrary binary black holes
| Autor: | H. P. de Oliveira, P. C. M. Clemente, W. O. Barreto, Beltran Rodriguez-Mueller |
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| Rok vydání: | 2018 |
| Předmět: |
Physics
010308 nuclear & particles physics Gaussian FOS: Physical sciences Conformal map Domain decomposition methods General Relativity and Quantum Cosmology (gr-qc) 01 natural sciences General Relativity and Quantum Cosmology LU decomposition law.invention symbols.namesake Numerical relativity Hamiltonian constraint Binary black hole law 0103 physical sciences symbols Applied mathematics 010306 general physics Galerkin method |
| DOI: | 10.48550/arxiv.1803.00850 |
| Popis: | We present a new computational framework for the Galerkin-collocation method for double domain in the context of ADM 3+1 approach in numerical relativity. This work enables us to perform high resolution calculations for initial sets of two arbitrary black holes. We use the Bowen-York method for binary systems and the puncture method to solve the Hamiltonian constraint. 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 convergence of our code for the conformal factor and the ADM mass. Thus, we display features of the conformal factor for different masses, spins and linear momenta. Comment: 9 pages; 6 figures. Updated version to appear in Phys. Rev. D |
| Databáze: | OpenAIRE |
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