Numerical method for solving heat-conduction problems for two-dimensional bodies of complex shape / Malikov Yu.K., Lisienko V.G. // Journal of Engineering Physics. - 1981. - V. 40, l. 3. - P. 314-319.

ISSN:
00220841
Type:
Article
Abstract:
A finite-difference scheme is described for a curvilinear orthogonal net which permits the use of a single algorithm for calculating bodies of various shapes. © 1981 Plenum Publishing Corporation.
Author keywords:
Index keywords:
MATHEMATICAL TECHNIQUES - Finite Difference Method; HEAT TRANSFER
DOI:
10.1007/BF00820562
Смотреть в Scopus:
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Соавторы в МНС:
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Affiliations S. M. Kirov Ural Polytechnic Institute, Sverdlovsk, Russian Federation
References Godunov, S.K., Prokopov, G.P., On the calculations of conformal mappings and the construction of difference nets (1967) Zh. Vychisl. Mat. Mat. Fiz., 7, p. 1032; Samarskii, A.A., On an economical difference method for solving a multidimensional parabolic equation in an arbitrary region (1962) Zh. Vychisl. Mat. Mat. Fiz., 2, p. 784; Fryazinov, I.V., On the solution of the third boundary value problem for the two-dimensional heat-conduction equation in an arbitrary region by the locally one-dimensional method (1966) Zh. Vychisl. Mat. Mat. Fiz., 6, p. 487; Izrailev, Lubny-Gertsyk, A.A., A method and algorithm for solving a three-dimensional problem of unsteady heat conduction in bodies of arbitrary shape (1976) Izv. Akad. Nauk SSSR, Energ. Trans., 5, p. 116; Segerlind, L., (1976) Applied Finite Element Analysis, , Wiley, New York; Godunov, S.K., Prokopov, G.P., On the solution of differential equations using curvilinear difference nets (1968) Zh. Vychisl. Mat. Mat. Fiz., 8, p. 28; Emery, A.F., Carson, W.W., An evaluation of the use of the finite-element method in the computation of temperature (1971) Proc. Am. Soc. Mech. Eng., Ser. C. Heat Transfer, 93, p. 136; Malikov, G.K., A numerical method for solving problems of unsteady nonlinear heat conduction for two-dimensional bodies of complex shape (1977) Inzh.-Fiz. Zh., 32, p. 905; Samarskii, A.A., (1971) Introduction to the Theory of Difference Schemes [in Russian], , Nauka, Moscow; Belinskii, P.P., Godunov, S.K., Ivanov, Yanenko, I.K., Application of one class of quasiconformal mappings for the construction of difference nets in regions with curvilinear boundaries (1975) Zh. Vychisl. Mat. Mat. Fiz., 15, p. 1499; Fil'chakov, P.F., (1964) Approximate Methods of Conformal Mappings [in Russian], , Naukova Dumka, Kiev
Correspondence Address Malikov, Yu.K.; S. M. Kirov Ural Polytechnic Institute, Sverdlovsk, Russian Federation
Publisher Kluwer Academic Publishers-Plenum Publishers
Language of Original Document English
Abbreviated Source Title Journal of Engineering Physics
Source Scopus