СРАВНЕНИЕ МЕТОДА ТРУБОК ТОКА С ОБЫЧНЫМИ ЧИСЛЕННЫМИ МЕТОДАМИ ПРИ ДВУМЕРНОЙ ФИЛЬТРАЦИИ МЕЧЕНОЙ ЖИДКОСТИ

S V Denisov; V E Lyalin; R O Sultanov

doi:10.22213/2410-9304-2018-3-129-135

Authors

S. V. Denisov Ufa State Petroleum Technical University
V. E. Lyalin Kalashnikov ISTU
R. O. Sultanov Kalashnikov ISTU

DOI:

https://doi.org/10.22213/2410-9304-2018-3-129-135

Keywords:

method of current tubes, finite volume method, finite difference method

Abstract

The finite volume method (FVM) was chosen as a widely used numerical method for solving equations without allowance for the dispersion term,. The paper presents an introduction to the essence of the method applied to the field of hydrodynamics, and its comparison with other numerical methods. The finite volume method (FVM) initially developed as a special formulation of the finite difference method (FDM). It is shown that the finite difference method (FDM) and the finite element method (FEM) can be used to implement the finite volume method. The finite volume method uses the concept of control volume or control surface, so sometimes this method is called the control volume method. In this case, the basic conservation equation is written in integral form. Further, the discretization of this equation is carried out, which in this example will be performed by the FDM method. It is shown that for a large number of current tubes, a solution based on the current tube method is accurate for the case of lack of diffusion, and can be used to calculate the spatial error.

Author Biographies

S. V. Denisov, Ufa State Petroleum Technical University

PhD in Engineering, Associate Professor

V. E. Lyalin, Kalashnikov ISTU

DSc in Engineering, DSc in Geology and Mineralogy, Professor

R. O. Sultanov, Kalashnikov ISTU

PhD in Engineering, Associate Professor

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