«Automation and Informatization of the fuel and energy complex»

Alternative methods for solving a hyperbolic system of equations in a simplified hydraulic shock problem

UDC: 658.264.003.13
DOI: 10.33285/2782-604X-2023-9(602)-53-60

Authors:

¹ Melentiev Energy Systems Institute SB RAS, Irkutsk, Russia

Keywords: hydraulic shock, pipeline, system of partial differential equations of hyperbolic type, numerical methods

Annotation:

A mathematical model of a transient process in a pipeline – a model of hydraulic shock is considered. On the basis of this model a mixed problem for a system of partial differential equations of hyperbolic type is posed. The formulas for the exact solution of the Cauchy problem for a linear homogeneous hyperbolic system are obtained. An example with an analytical solution is used to compare the effectiveness of explicit and implicit numerical methods for solving a system of partial differential equations of hyperbolic type.

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