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Conference publications

Two variants of economical method for solving of the transport equation in r-z geometry on the basis of transition to Vladimirov’S variables

Aristova E. N., Baydin D. F., Gol'din V. Ya.

Russia, Moscow

"Математика. Компьютер. Образование". Cб. трудов XIII международной конференции. Под общей редакцией Г.Ю. Ризниченко Ижевск: Научно-издательский центр "Регулярная и хаотическая динамика", 2006. Vol. 2, 498pp. Pp. 158-170.

The method for numerical solving of 2D steady transport equation on the basis of transition to the Vladimirof’s variables has been suggested. The spatial and angular meshes are rigidly connected in classical variant of Vladimirov’s method. The algorithm for equation solving is suggested with independent construction of these meshes. It allows explicitly resolve the structure of all logarithmical discontinuities of solution. Two variants of the method have been suggested: pure characteristical one and conservative characteristical method. It has been shown that for roof mesh conservative characteristical method allows to construct solution of high accuracy, especially for quasidiffusion tensor.



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