Solution of the system of gas flow equations along geodesic lines in special metric to reduce risks at gas pipelines

Authors

  • Bunyakin A.V. Kuban State Technological University, Krasnodar, Russian Federation

UDC

533, 531

Abstract

The work describes modification of the characteristics method, which consists in integrating of a 4D system of ordinary differential equations along phase paths. These paths can be interpreted as geodesic lines in special metric. The integration problem can be formulated as an extremal one, and its solution (along the curve) reduces the computation problem in comparison with the characteristics method, which uses two-dimensional region for the solution.

Funding information

Работа выполнена при поддержке РФФИ р2003юг (03-01-96690).

Author Biography

  • Aleksey V. Bunyakin

    канд. физ.-мат. наук, доцент Кубанского государственного технологического университета

References

  1. Арнольд В.И. Математические методы классической механики. М.: Наука, 1989. 468 с.
  2. Бунякин А.В. Решение системы уравнений одномерного неустановившегося движения газа вдоль геодезических линий в специальной метрике // Заключ. конф. регионального конкурса р2003юг: Тез. докладов. 2005. С. 22-24.

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Issue

No. 3 (2006)

Pages

39-46

Section

Ecology

Dates

Submitted

March 18, 2006

Accepted

May 27, 2006

Published

September 25, 2006

How to Cite

[1]
Bunyakin, A.V., Solution of the system of gas flow equations along geodesic lines in special metric to reduce risks at gas pipelines. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2006, № 3, pp. 39–46.

License

Copyright (c) 2006 Бунякин А.В.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.