Abstract
The graphics processing unit (GPU) acceleration of the manifold correction algorithm based on the compute unified device architecture (CUDA) technology is designed to simulate the dynamic evolution of the Post-Newtonian (PN) Hamiltonian formulation of spinning compact binaries. The feasibility and the efficiency of parallel computation on GPU have been confirmed by various numerical experiments. The numerical comparisons show that the accuracy on GPU execution of manifold corrections method has a good agreement with the execution of codes on merely central processing unit (CPU-based) method. The acceleration ability when the codes are implemented on GPU can increase enormously through the use of shared memory and register optimization techniques without additional hardware costs, implying that the speedup is nearly 13 times as compared with the codes executed on CPU for phase space scan (including \(314 \times 314\) orbits). In addition, GPU-accelerated manifold correction method is used to numerically study how dynamics are affected by the spin-induced quadrupole–monopole interaction for black hole binary system.
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References
Ascher, U.M.: Numer. Algorithms 14, 1249 (1997)
Barker, B.M., O’connell, R.F.: Gen. Relativ. Gravit. 11, 149 (1979)
Baumgarte, J.: Celest. Mech. 5, 490 (1972)
Buonanno, A., Chen, Y.B., Damour, T.: Phys. Rev. D 74, 104005 (2006)
Chen, R.C., Wu, X.: Commun. Number Theory Phys. 65, 321 (2016)
Chin, H.: Ph. D. thesis Univ. British Columbia, Canada (1995)
Cornish, N.J., Levin, J.: Phys. Rev. D 68, 024004 (2003)
Damour, T.: Phys. Rev. D 64, 124013 (2001)
Elsen, E., Legresley, P., Darve, E.: J. Comput. Phys. 227(24), 10148 (2008)
Forest, E., Ruth, R.: Physica D 43, 105 (1990)
Fukushima, T.: Astron. J. 126, 2567 (2003)
Gopakumar, A., Iyer, B.R.: arXiv:gr-qc/0110100v2, 11 Mar. 2002
Gopakumar, A., Konigsdorffer, C.: Phys. Rev. D 72, 121501 (2005)
Han, W.B., Liao, X.H.: Comput. Phys. Commun. 177, 500 (2007)
Hart, M.D., Buonanno, A.: Phys. Rev. D 71, 024027 (2005)
Huang, G.Q., Wu, X.: Phys. Rev. D 89, 124034 (2014)
Huang, G.Q., Ni, X.T., Wu, X.: Eur. Phys. J. C 74, 3012 (2014)
Huang, L., Wu, X., Ma, D.Z.: Eur. Phys. J. C 76, 488 (2016)
Juba, D., Varshney, A.: J. Mol. Graph. Model. 27(1), 82 (2008)
Kidder, L.E.: Phys. Rev. D 52, 821 (1995)
Levin, J.: Phys. Rev. Lett. 84, 3515 (2000)
Levin, J.: Phys. Rev. D 67, 044013 (2003)
Levin, J.: Phys. Rev. D 74, 044013 (2006)
Levin, J., McWillianms, S.T., Contreras, H.: Class. Quantum Gravity 28, 175001 (2011)
Liu, L., Wu, X., Huang, G.Q.: Mon. Not. R. Astron. Soc. 459, 2246 (2016)
Luo, J.J., Wu, X.: Eur. Phys. J. Plus 132, 485 (2017)
Luo, J.J., Wu, X., Huang, G.Q., Liu, F.Y.: Astrophys. J. 834, 64 (2017)
Ma, D.Z., Long, Z.C.: Celest. Mech. Dyn. Astron. 123, 45 (2015)
Ma, D.Z., Wu, X., Zhong, S.Y.: Astrophys. J. 687, 1294 (2008)
Mei, L.J., Ju, M.J., Wu, X., Liu, S.Q.: Mon. Not. R. Astron. Soc. 435, 2246 (2013a)
Mei, L.J., Wu, X., Liu, F.Y.: Eur. Phys. J. C 73, 2413 (2013b)
Moore, A., Quillen, A.C.: New Astron. 16, 445 (2011)
Murray, L.: IEEE Trans. 23(1), 94 (2012)
Nacozy, P.Q.: Astrophys. Space Sci. 14, 40 (1971)
Ni, X.T., Wu, X.: Res. Astron. Astrophys. 14, 1329 (2014)
Omelyan, I.P., Mryglod, I.M., Folk, R.: Comput. Phys. Commun. 146, 188 (2002)
Rossinelli, D., Bergdorf, M., Cottet, G.H., Koumoutsakos, P.: J. Comput. Phys. 229, 3316 (2010)
Schnittman, J.D., Rasio, F.A.: Phys. Rev. Lett. 87, 121101 (2001)
Shams, R., Sadeghi, P., Kennedy, R., Hartley, R.: Comput. Methods Programs Biomed. 99(2), 133 (2010)
Su, X.N., Wu, X.: Astrophys. Space Sci. 361, 32 (2016)
Szebehely, V., Bettis, D.G.: Astrophys. Space Sci. 13, 365 (1971)
Wang, X.M., Liu, S., Li, X., Zhong, S.Y.: Int. J. RF Microw. Comput.-Aided Eng. 26, 512 (2016a)
Wang, S.C., Wu, X., Liu, F.Y.: Mon. Not. R. Astron. Soc. 463, 1352–1362 (2016b)
Wang, S.C., Huang, G.Q., Wu, X.: Astron. J. 155, 67 (2018)
Wisdom, J., Holman, M.: Astron. J. 102, 1528 (1991)
Wu, X., He, J.Z.: Comput. Phys. Commun. 15, 175 (2006)
Wu, X., Huang, T.Y.: Phys. Lett. A 313, 77 (2003)
Wu, X., Huang, G.Q.: Mon. Not. R. Astron. Soc. 452, 3617 (2015)
Wu, X., Xie, Y.: Phys. Rev. D 76, 124004 (2007)
Wu, X., Xie, Y.: Phys. Rev. D 77, 103012 (2008)
Wu, X., Xie, Y.: Phys. Rev. D 81, 084045 (2010)
Wu, X., Huang, T.Y., Zhang, H.: Phys. Rev. D 74, 083001 (2006)
Wu, X., Huang, T.Y., Wan, X.S.: Astron. J. 133, 2634 (2007)
Wu, X., Mei, L.J., Huang, G.Q., Liu, S.Q.: Phys. Rev. D 91, 024042 (2015)
Zhang, F.: Comput. Phys. Commun. 99, 53 (1996)
Zhang, Q., Bao, H., Rao, C.H., Peng, Z.M.: Opt. Rev. 22, 903 (2015)
Zhong, S.Y., Wu, X.: Phys. Rev. D 81, 104037 (2010)
Zhong, S.Y., Wu, X., Liu, S.Q., Deng, X.F.: Phys. Rev. D 82, 124040 (2010)
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This research is supported by the Natural Science Foundation of China under Contract (Grant No. 11563006, 11165011).
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Ran, Cx., Liu, S. & Zhong, Sy. GPU accelerated manifold correction method for spinning compact binaries. Astrophys Space Sci 363, 65 (2018). https://doi.org/10.1007/s10509-018-3265-6
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DOI: https://doi.org/10.1007/s10509-018-3265-6