Abstract
An algorithm for generating curvilinear block-structured grids in axisymmetric three-dimensional domains of any connectivity is developed. The organization of the connection between the blocks is automated. The grids constructed are used to compute ideal gas steady flows past axisymmetric bodies at a nonzero angle of attack.
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References
T. I. Serezhnikova, A. F. Sidorov, and O. V. Ushakova, “On One Method of Construction of Optimal Curvilinear Grids and Its Applications,” Sov J. Numer. Anal. Math. Model. 4(2), 137–155 (1989).
O. B. Khairullina, A. F. Sidorov, and O. V. Ushakova, “Variational Methods of Construction of Optimal Grids,” in Handbook of Grid Generation (CRC, Boca Raton, FL, 1998), pp. 36-1–36-25.
O. V. Ushakova, “Conditions of Nondegeneracy of Three-Dimensional Cells: A Formula of a Volume of Cells,” SIAM J. Sci. Comput. 23, 1273–1289 (2001).
T. N. Bronina, I. A. Gasilova, and O. V. Ushakova, “Algorithms for Three-Dimensional Structured Grid Generation,” Zh. Vychisl. Mat. Mat. Fiz. 43, 836–844 (2003) [Comp. Math. Math. Phys. 43, 875–883 (2003)].
A. F. Sidorov and T. I. Shabashova, “A Method for Optimal Grid Generation in Multidimensional Domains,” Chislen. Metody Mekh. Sploshn. Sredy 14(5), 139–157 (1983).
A. F. Sidorov, “Examples of Exact Solutions for Geometrically Optimal Two-Dimensional Grids,” Vopr. At. Nauki Tekh. Mat. Model. Fiz. Protsessov 4, 18–22 (1994).
J. F. Thompson, Z. U. A. Warsi, and C. W. Mastin, Numerical Grid Generation: Foundations and Applications (North-Holland, New York, 1985).
O. B. Khairullina, “Method of Constructing Block Regular Optimal Grids in Two-Dimensional Multiply Connected Domains of Complicated Geometries,” Russ. J. Numer. Anal. Math. Model. 11, 343–358 (1996).
O. B. Khairullina, Method for Constructing Block Regular Optimal Grids in Two-Dimensional Multiply Connected Domains of Complex Geometry (MOPS-2a) (Ural. Otd. Ross. Akad. Nauk, Yekaterinburg, 1998) [in Russian].
A. F. Khairullin and O. B. Khairullina, “Automatic Generation of Initial Approximation of a Block-Structured Curvilinear Grid,” Vychisl. Tekhnol. 7(5), 96–107 (2002).
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Original Russian Text © N.A. Artyomova, O.B. Khairullina, 2008, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2008, Vol. 48, No. 11, pp. 2058–2066.
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Artyomova, N.A., Khairullina, O.B. Generation of three-dimensional block-structured grids based on rotation of two-dimensional multiply connected cross sections. Comput. Math. and Math. Phys. 48, 2093–2101 (2008). https://doi.org/10.1134/S0965542508110146
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DOI: https://doi.org/10.1134/S0965542508110146