| Issue |
E3S Web Conf.
Volume 397, 2023
Mathematical Models and Methods of the Analysis and Optimal Synthesis of the Developing Pipeline and Hydraulic Systems 2022
|
|
|---|---|---|
| Article Number | 01006 | |
| Number of page(s) | 6 | |
| Section | Methods of Analysis of Pipeline Systems | |
| DOI | https://doi.org/10.1051/e3sconf/202339701006 | |
| Published online | 19 June 2023 | |
Alternative methods for solving a hyperbolic system of equations in a simplified water hammer problem
1 Melentiev Energy Systems Institute SB RAS, 664033, Irkutsk, Lermontov str., 130, Russian Federation
2 Irkutsk State University, Institute of Mathematics and Information Technologies, 664003, Irkutsk, Karl Marx str., 1, Russian Federation
* Corresponding author: inna.sidler@mail.ru
The paper addresses a mathematical model of the transient process in a pipeline, namely, a water hammer model. Based on this model, a mixed problem for a system of partial differential equations of hyperbolic type is set. In this paper, we obtain formulas for the exact solution of the Cauchy problem for a linear homogeneous hyperbolic system. We compare the effectiveness of explicit and implicit numerical methods for solving a simplified system of water hammer equations.
© The Authors, published by EDP Sciences, 2023
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