The Application of Symmetric Splitting Method At Solving Magneto gas dynamic Flow Problems
Статья в журнале
In mathematical modeling of the problem of the conductive medium flow in complex systems of gas pipelines two models are used – a viscous heat-conducting gas and an ideal gas. The first is used mainly for detailing the picture of the magnetogasdynamic flow in the areas of geometric features of the highways, and the second – for the development of calculation methods designed to determine the flow parameters in the spatial highways. In both models, it is assumed that the magnetic Reynolds number ReH i.e. magnetic fields from induced currents are not taken into account. The paper presents the application of the symmetric splitting method to solve the problem of magnetogasdynamic flow based on the Navier-Stokes equations and the implicit conservative finite-difference scheme. The choice of such a difference scheme is due to the fact that the solution of three-dimensional systems of difference equations by direct methods of matrix run requires a very significant cost of estimated time and therefore is not used in practice. In addition, the use of an implicit conservative finite-difference scheme for solving the Navier-Stokes equations makes it possible to organize a cyclic scheme of calculations, the essence of which is to change both the order of the calculation stages along the coordinate directions and the direction of the run. As a result, these measures made it possible to achieve the symmetrization of the calculation algorithm, which allows strengthening its stability in the presence of the right parts of the original Navier-Stokes equations.
Журнал:
- Jour of Adv Research in Dynamical & Control Systems
- Institute of Advanced Scientific Research (Irvine)
- Индексируется в Scopus
Библиографическая запись: Borovskoy, I. G. The Application of Symmetric Splitting Method At Solving Magneto gas dynamic Flow Problems / I. G. Borovskoy, E. A. Shelmina // Jour of Adv Research in Dynamical & Control Systems. - 2018. - Vol. 10. - Issue 6. - P. 1690-1700.
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