Результати застосування модифікованого методу Ньютона при моделюванні перехідних режимів з урахуванням кінетичної енергії

Abstract

The paper presents the results of applying the modified Newton method to simulate transient gas flow regimes in a pipeline section considering kinetic energy. A mathematical model describing non-stationary gas flow is formulated in the form of a quasi-linear system of partial differential equations. A finite difference scheme is used for discretization, which leads to a nonlinear algebraic system solved by the modified Newton method. Numerical experiments were performed for the case of disconnecting a large consumer. The influence of spatial discretization on computational time and accuracy was analyzed