ISSN 2079-3537      


Scientific Visualization, 2018, volume 10, number 1, pages 1 - 17, DOI: 10.26583/sv.10.1.01

Visualization of flow parameters in the branched systems using tree-like graphs (by the example of flow in the pipeline)

Author: S.A. Gubin1, S.I. Sumskoi2, A.M. Sverchkov3*, A.A. Agapov4*, D.Yu. Okunev5

National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)

* CJSC Scientific technical center of industrial safety problems research

1 ORCID: 0000-0001-7211-1103,

2 ORCID: 0000-0001-8308-7356,

3 ORCID: 0000-0002-7643-6543,

4 ORCID: 0000-0002-6778-3068,

5 ORCID: 0000-0001-6402-3349,



The approach to visualization of flow parameters in branched systems (for one-dimensional case here) is described. It is proposed to consider the all flow parameters as a function of a single variable - the distance from the start point of the system. In this case, functions that are continuous in the branching points can be represented as a tree-like structure. That gives us a convenient way to perceive the whole space-time picture of the flow.

The proposed approach is applied to the visualization of flow parameters obtained by solving the water hammer problem in the branching pipes. The model that describes this flow is given, and also the main calculation results are presented. They are visualized both in the form of graphs for defining the moments of time, and in dynamic mode (animation).


Keywords: tree-like graphs, data visualization, pipeline systems, water hammer, Godunov type scheme.