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Integral-consistent numerical technique for gravitationally coupled medium model

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dc.contributor.authorSharova, Yu. S.
dc.contributor.authorPodryga, V. O.
dc.contributor.authorPoveshchenko, Y. A.
dc.contributor.authorGasilov, V. A.
dc.contributor.authorПовещенко, Юрий Андреевич
dc.contributor.authorГасилов, Владимир Анатольевич
dc.date.accessioned2024-11-21T10:34:25Z
dc.date.available2024-11-21T10:34:25Z
dc.date.issued2019
dc.description.abstract© 2019 Author(s).The supercompression of matter caused by gravitational coupling, or self-gravitational forces, leads to density growth by several orders in magnitude. Keeping in mind the importance of self-gravitation in astrophysical processes like supernovae star evolution we consider it reasonable to develop a numerical technique based on the consistent approximation to the terms describing gravitational energy transfer into the kinetic energy of a matter in the star along its life cycle. In the paper, we propose an integrally-consistent difference scheme that utilizes the method of support difference operators thus providing a possibility to conform the balance between kinetic and gravitational energy increments or losses. According to this method, we use the result of the total gravitational energy varying and construct the symmetrized strain rate tensor as the base operator. The result of varying the gravitational energy of the system is a discrete convolution of the Newton gravitational tensor in the difference media under study, which exhaustively answers all the gravitational processes unfolding against the background of the hydrodynamic motion of matter. The symmetrized strain tensor governs the kinematic motion in a considered system. The conjugate operator related to the convolution of these tensors automatically gives the approximation to the gravitational forces acting in the interior of the balance volume of the difference model built via the support operator approach.
dc.identifier.citationIntegral-consistent numerical technique for gravitationally coupled medium model / Sharova, Yu.S. [et al.] // AIP Conference Proceedings. - 2019. - 2116. - 10.1063/1.5114279
dc.identifier.doi10.1063/1.5114279
dc.identifier.urihttps://www.doi.org/10.1063/1.5114279
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dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/18458
dc.relation.ispartofAIP Conference Proceedings
dc.titleIntegral-consistent numerical technique for gravitationally coupled medium model
dc.typeConference Paper
dspace.entity.typePublication
oaire.citation.volume2116
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