Complex Software for Numerical Simulation of Convective Flow of Viscous Incompressible Fluid in a Curvilinear Coordinate System

Авторы

  • N. M. Temirbekov 1D. Serikbayev East Kazakhstan State Technical University, Ust-Kamenogorsk, Kazakhstan
  • Y. A. Malgazhadov S. Amanzholov East Kazakhstan State University, Ust-Kamenogorsk, Kazakhstan
  • S. O. Tokanova D. Serikbayev East Kazakhstan State Technical University, Ust-Kamenogorsk, Kazakhstan
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Ключевые слова:

incompressible fluid, curvilinear coordinate system, convective flow, numerical simulation

Аннотация

In this paper, the development of a complex software for numerical simulation of
convective flow of viscous incompressible fluid in a doubly connected areas in a curvilinear coordinate
system is considered. For the discretization of the physical domain, the technology of construction of
curvilinear structure difference grids using the transfinite interpolation method, the equidistribution
method, and the method of Thompson are presented. In order to test the software, the calculations
for various configurations of the cavity and temperature conditions at the border are conducted

Библиографические ссылки

1. Shokin Yu.I., Danayev N.T, Khakimzyanov G.S., Shokina N.Yu. Lectures on difference schemes on movable
grids– Almaty, 2008. Part 2. – 184 p.
2. Thompson J.F., Warsi Z.U.A., Mastin C.W. Numerical grid generation, foundations and applications. –
1985, New York, etc.: Elsevier.
3. Godunov S.K., Zabrodin A.V., Ivanov M.Ya. Numerical solution of multidimensional problems of gas dynamics
/ Рњoscow: Nauka, 1976
4. Sirochenko V.P. Numerical simulation of convective flows of viscous fluid in multiply connected domains /
Proceedings of International conference RDAMM – 2001. Special Edition, Vol .6, Part 2, pp. 554-562.
5. Prokopov G.P. On the comparison of algorithms and programs of constructing regular two-dimensional
difference grids. M. 1989. (Preprint в„– 18. AS USSR. Keldysh IPM, 27 p.)

Загрузки

Как цитировать

Temirbekov, N. M., Malgazhadov, Y. A., & Tokanova, S. O. (2018). Complex Software for Numerical Simulation of Convective Flow of Viscous Incompressible Fluid in a Curvilinear Coordinate System. Вестник КазНУ. Серия математика, механика, информатика, 86(3), 83–91. извлечено от https://bm.kaznu.kz/index.php/kaznu/article/view/501

Выпуск

Раздел

Математическое моделирование технологических процессов