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OPTIMIZATION OF THE NUMERICAL SOLUTION OF TRANSPORT EQUATION FOR RADIALLY SYMMETRIC CASE

Annotation

An algorithm for acceleration of numerical calculations of the transport equations for the radially symmetric case with the explicit scheme is considered. The proposed approach is the acceleration time calculation is based on the idea of introducing multiple time steps, subject to agreement with the number of Courant. Description of the properties and steps of the algorithm is given. Application of the proposed algorithm will allow us to achieve a significant acceleration of computing time. Also, the dependence of the number of steps calculated by the radius is constructed.

Keywords

multiphase filtration; radial symmetry; numerical method; the Courant number; the difference scheme

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UDC

532.546

Pages

1533-1536

References

1. Aziz Kh., Settari E. Matematicheskoe modelirovanie plastovykh sistem. M.: Nedra, 1982. 2. Barenblatt G.I., Entov V.M., Ryzhik V.M. Dvizhenie zhidkostey i gazov v prirodnykh plastakh. M.: Nedra, 1982. 3. Shangaraeva A.I. Analiz algoritma uskoreniya rascheta neftenasyshchennosti v odnomernom sluchae // Vestnik Kazanskogo tekhnologicheskogo universiteta. 2014. T. 17. № 14. S. 460–462. 4. Shangaraeva A.I., Shevchenko D.V. Issledovanie vliyaniya lokal'noy neodnorodnosti fazovykh pronitsaemostey na parametry razrabotki neftyanykh mestorozhdeniy // Uchenye zapiski Kazanskogo universiteta. Seriya Fiziko-matematicheskie nauki. 2014. T. 156. Kn. 4. S. 103–111. 5. Badriev I.B. Matematicheskoe modelirovanie statsionarnykh zadach podzemnoy fil'tratsii s mnogoznachnym zakonom // Vestnik Tambovskogo universiteta. Seriya Estestvennye i tekhnicheskie nauki. Tambov, 2013. T. 18. № 5-2. S. 2444–2446. 6. Badriev I.B., Fanyuk B.Ya. Matematicheskoe modelirovanie zadach fil'tratsii s mnogoznachnym zakonom v mnogosloynykh plastakh // Matematicheskoe modelirovanie. 2014. T. 26. № 5. S. 126–136.

Received

2015-06-05

Section of issue

Scientific articles

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