Difference melt model

• Autorzy: Kazhikenova Saule Sh. , Shaltakov Sagyndyk N. , Nussupbekov Bekbolat R.

Identyfikatory

DOI

10.24425/acs.2021.138694

• Języki publikacji: EN

Abstrakty

EN

The basic objective of the research is to construct a difference model of the melt motion. The existence of a solution to the problem is proven in the paper. It is also proven the convergence of the difference problem solution to the original problem solution of the melt motion. The Rothe method is implemented to study the Navier-Stokes equations, which provides the study of the boundary value problems correctness for a viscous incompressible flow both numerically and analytically.

Słowa kluczowe

EN

Navier-Stokes equations; hydrodynamic; approximations; mathematical models; melt

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2021
• Tom: Vol. 31, No. 3
• Strony: 607--627
• Opis fizyczny: Bibliogr. 14 poz., rys., tab., wzory

Twórcy

autor

Kazhikenova Saule Sh.

• Karaganda Technical University, Kazakhstan

• https://orcid.org/0000-0002-6937-1577

autor

Shaltakov Sagyndyk N.

• Karaganda Technical University, Kazakhstan

• https://orcid.org/0000-0002-1186-1178

autor

Nussupbekov Bekbolat R.

• Karaganda Technical University, Kazakhstan

• https://orcid.org/0000-0003-2907-3900

Bibliografia

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• [2] S.Sh. Kazhikenova, S.N. Shaltaqov, D. Belomestny, and G.S. Shaihova: Finite difference method implementation for Numerical integration hydrodynamic equations melts. Eurasian Physical Technical Journal, 17(33), (2020), 50-56.
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• [12] T.A. Barannyk, A.F. Barannyk, and I.I. Yuryk: Exact solutions of the nonliear equation. Ukrains’kyi Matematychnyi Zhurnal, 69(9), (2017), 1180-1186, http://umj.imath.[K]iev.ua/index.php/umj/article/view/1768.
• [13] N.B. Iskakova, A.T. Assanova, and E.A. Bakirova: Numerical method for the solution of linear boundary-value problem for integrodifferential equations based on spline approximations. Ukrains’kyi Matematychnyi Zhurnal, 71(9), (2019), 1176-91, http://umj.imath.[K]iev.ua/index.php/umj/article/view/1508.
• [14] S.L. Skorokhodov and N.P. Kuzmina: Analytical-numerical method for solving an Orr-Sommerfeld type problem for analysis of instability of ocean currents. Zh. Vychisl. Mat. Mat. Fiz., 58(6), (2018), 1022-1039, DOI: 10.7868/S0044466918060133.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).