Complex Software for Numerical Simulation of Convective Flow of Viscous Incompressible Fluid in a Curvilinear Coordinate System
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Keywords:
incompressible fluid, curvilinear coordinate system, convective flow, numerical simulationAbstract
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
References
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grids– Almaty, 2008. Part 2. – 184 p.
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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.)
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.)
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How to Cite
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. Journal of Mathematics, Mechanics and Computer Science, 86(3), 83–91. Retrieved from https://bm.kaznu.kz/index.php/kaznu/article/view/501
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Mathematical modeling of technological processes
