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, Российская Федерация

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.

Acknowledgement

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

Author Info

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

2006. No. 3

Section

Ecology

Pages

39-46

Submitted

2006-03-18

Published

2006-09-25

How to Cite

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, no. 3, pp. 39-46. (In Russian)

Copyright (c) 2006 Bunyakin A.V.

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