Y.R. ASHRAFOVA.
THE NUMERICAL SCHEME OF CALCULATION OF THE REGIMES OF FLUID FLOW IN THE PIPELINES OF COMPLICATED STRUCTURE


The calculation of regimes of transient processes in oil pipelines of complicated annular structure is considered in the work. The fluid flow is described by the differential equation with partial derivative of hyberbolic type for every linear section. There are non-separated boundary conditions at the points of  connections of the sections.  These conditions are defined from the Kirchoff’s circuit law. The scheme of numerical calculation of the regimes of fluid flow along the pipeline is suggested, which is based on the application of the grid method. The formulas and algorithms based on sweep method are developed. The numerical experiments are carried out by using of suggested approach and the analyse of obtained results is given.

Keywords: sweep method, oil-pipeline, pipeline of complicated structure, hyperbolic equation, non-separated boundary conditions, grid method
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