This paper is devoted to the space-time conservation (STC) method and its application to a water hammer in steel pipelines. The STC method, due to its numerical properties, in particular its high accuracy, can be an interesting alternative to traditional numerical methods, especially when dealing with problems where the numerical errors have the potential to significantly influence the solution, making interpretation very difficult. As the problem of water hammer is one of such problems, an analysis of the application of the STC method to this case can be very interesting.
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The water hammer problem is considered, one of the most important questions of unsteady flows in pipelines. Although first mentioned in the scientific literature more than a hundred years ago and widely analyzed since in many research centers, the problem is not fully recognized yet. It may be considered on two levels: practical and theoretical. In both cases, several difficulties arise rendering the results less than fully satisfactory. The most important difficulties are the proper mathematical description of the phenomenon, the choice of the solution method, estimation of the model parameters and numerical aspects of solving the equations governing the phenomenon's run. They are presented in the paper and typical approaches to their solution are discussed. Numerical solutions are compared with experimental results.
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