Abstract
The chapter describes a numerical technique for modeling the spatial unsteady motion of matter in gas astrophysical objects. Convective processes with the formation of vortex structures in a fast-rotating star under self-gravity conditions are simulated. The modeling of spatially unsteady motion in an accretion disk at the boundary with a neutron star is also performed. The numerical technique used is based on a finite-difference analog of the conservation laws of the medium additive characteristics for a finite volume. For astrophysical objects under self-gravity conditions, the direct calculation of gravitational forces is realized by summing the interaction between all finite volumes in the integration area. Evolutionary calculations are based on the parallel algorithms implemented on the computer complexes of cluster architecture. The algorithms use parallelization in space and in physical factors. Visualized pictures of spatial non-stationary structures are presented.
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References
Belotserkovskii, O.M., Mingalev, I.V., Mingalev, V.S., Mingalev, O.V., Oparin, A.M., Chechetkin, V.M.: Formation of large-scale vortices in shear flows of the lower atmosphere of the earth in the region of tropical latitudes. Cosmic Res. 47(6), 466–479 (2009)
Pudritz, R.E., Norman, C.A.: Bipolar hydromagnetic winds from disks around protostellar objects. Astrophys. J. 301, 571–586 (1986)
Wongwathanarat, A., Muller, E., Janka, H.T.: Three-dimensional simulations of core-collapse supernovae: from shock revival to shock breakout. Astronomy Astrophys. 577, 1–20 (2015)
Velikhov, E.P., Sychugov, K.R., Chechetkin, V.M., Lugovskii, AYu., Koldoba, A.V.: Magneto-rotational instability in the accreting envelope of a protostar and the formation of the large-scale magnetic field. Astronomy Rep. 56(2), 84–95 (2012)
Sawada, K., Matsuda, T., Hachisu, I.: Spiral shocks on a Roche lobe overflow in a semi-detached binary system. Monthly Not. Roy. Astron. Soc. 219, 75–88 (1986)
Dolence, J.C., Burrows, A., Zhang, W.: Two-dimensional core-collapse supernova models with multi-dimensional transport. Astrophys. J. 800, 10 (2015)
Osher, S., Solomon, F.: Upwind difference schemes for hyperbolic systems of conservations laws. Math. Comput. 38, 339–374 (1982)
Einfeldt, B.: On Godunov type methods for gas dynamics. SIAM J. Numer. Anal. 25, 294–318 (1988)
Lugovskii, AYu., Chechetkin, V.M.: The development of large-scale instability in Keplerian stellar accretion disks. Astronomy Rep. 56(2), 96–103 (2012)
Melson, T., Heger, A., Janka, H.T.: Supernova simulations from a 3D progenitor model—impact of perturbations and evolution of explosion properties. Monthly Notices Roy. Astronomical Soc. 472(1), 491–513 (2017)
Lugovsky, AYu., Mukhin, S.I., Popov, YuP, Chechetkin, V.M.: The development of large-scale instability in stellar accretion disks and its influence on the redistribution of angular momentum. Astronomy Rep. 52(10), 811–814 (2008)
Velikhov, Ye.P., Lugovsky, A.Yu., Mukhin, S.I., Popov, Yu.P., Chechetkin V.M.: The impact of large-scale turbulence on the redistribution of angular momentum in stellar accretion disks, Astronomy Rep. 51(2), 154–160 (2007)
Babakov, A.V., Popov, M.V., Chechetkin, V.M.: Mathematical simulation of a massive star evolution based on a gasdynamical model. Math. Models Comput. Simul. 10(3), 357–362 (2018)
Babakov, A.V., Lugovsky, A.Yu., Chechetkin, V.M.: Mathematical modeling of the evolution of compact astrophysical gas objects. In: Petrov, I.B., Favorskaya, A.V., Favorskaya, M.N., Lakhmi, C.J. (eds.) GCM50 2019, SIST, vol. 133, pp. 210–227. Springer, Cham (2019)
Babakov, A.V., Lugovsky, A.Yu., Chechetkin, V.M. Modelling of some astrophysical problems on supercomputers using gasdynamical model. In: Jain, L.C., Favorskaya, M.N., Nikitin, I.S., Reviznikov, D.L. (eds.) Advances in Theory and Practice of Computational Mechanics: Proceedings of the 21st International Conference on Computational Mechanics and Modern Applied Software Systems, SIST, vol. 173, pp. 23–35. Springer, Singapore (2020)
Belotserkovskii, O.M., Severinov, L.I.: The conservative “flow” method and the calculation of the flow of a viscous heat-conducting gas past a body of finite size. Comput. Math. Math. Phys. 13(2), 141–156 (1973)
Belotserkovskii, O.M., Babakov, A.V.: The simulation of the coherent vortex structures in the turbulent flows. Adv. Mech. Poland. 13(3/4), 135–169 (1990)
Babakov, A.V.: Numerical simulation of spatially unsteady jets of compressible gas on a multiprocessor computer system. Comput. Math. Math. Phys. 51(2), 235–244 (2011)
Babakov, A.V.: Program package FLUX for the simulation of fundamental and applied problems of fluid dynamics. Comput. Math. Math. Phys. 56(6), 1151–1161 (2016)
Aksenov, A.G., Babakov, A.V., Chechetkin, V.M.: Mathematical simulation of the vortex structures in the fast rotation astrophysical objects. Comput. Math. Math. Phys. 58(8), 1287–1293 (2018)
Aksenov, A.G.: Numerical solution of the Poisson equation for the three-dimensional modeling of stellar evolution. Astronomy Lett. 25, 185–190 (1999)
Aksenov, A.G., Blinnikov, S.I.: A Newton iteration method for obtaining equilibria of rapidly rotating stars. Astronomy Astrophys. 290, 674–681 (1994)
Acknowledgements
Author is grateful to A.G. Aksenov for helpful discussions of the setting of the initial field for the modeling of fast-spin stellar objects.
Calculations were carried out on the computational resources of the Joint Supercomputer Center of the Russian Academy of Sciences (JSCC RAS).
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Babakov, A.V. (2021). Modeling of Unsteady Flows in Gas Astrophysical Objects on Supercomputers. In: Favorskaya, M.N., Favorskaya, A.V., Petrov, I.B., Jain, L.C. (eds) Smart Modelling For Engineering Systems. Smart Innovation, Systems and Technologies, vol 214. Springer, Singapore. https://doi.org/10.1007/978-981-33-4709-0_4
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