Need in the development of the corresponding mathematical models and numerical methods of solution of the task on water-hammer, including in the Annex to the calculation of the transported substances emission intensity as a result of emergencies at the pipelines is specified hereby. For this purpose, it is proposed to use the method of S.K. Godunov, which is implemented in the form of TOXI+Water-hammer software. The software verification based on the results of natural experiment and the solution of the model task was carried out. Satisfactory coordination was achieved between the calculated (by means of TOXI+Water-hammer) and experimental data on pressure pulsations in the pipe. On the concrete example the conformity of the results was successfully demonstrated, which were obtained using the developed mathematical model, and on the basis of high-precision three-dimensional numerical modeling of water-hammer.

Good accuracy of the used numerical method is shown, further ways of improvement of quality of the numerical decisions implemented in TOXI+Water-hammer impact are defined. The legitimacy is confirmed concerning this software use for modelling of liquid movement in the extended pipeline for the purpose of calculation of both the flow current parameters, and the intensity of substance emission as a result of an emergency situation taking into account the emergence of circulation of the compression waves and discharge, which substantially define the intensity of emissions.

**A.M. Sverchkov, Researcher, sverchkov@safety.ru
STC «Industrial Safety» CJSC, Moscow, Russia
S.I. Sumskoy, Cand. Sci. (Eng.), Senior Lecturer
NRNU MEPhI, Moscow, Russia
**

Need in the development of the corresponding mathematical models and numerical methods of solution of the task on water-hammer, including in the Annex to the calculation of the transported substances emission intensity as a result of emergencies at the pipelines is specified hereby. For this purpose, it is proposed to use the method of S.K. Godunov, which is implemented in the form of TOXI+Water-hammer software. The software verification based on the results of natural experiment and the solution of the model task was carried out. Satisfactory coordination was achieved between the calculated (by means of TOXI+Water-hammer) and experimental data on pressure pulsations in the pipe. On the concrete example the conformity of the results was successfully demonstrated, which were obtained using the developed mathematical model, and on the basis of high-precision three-dimensional numerical modeling of water-hammer.

Good accuracy of the used numerical method is shown, further ways of improvement of quality of the numerical decisions implemented in TOXI+Water-hammer impact are defined. The legitimacy is confirmed concerning this software use for modelling of liquid movement in the extended pipeline for the purpose of calculation of both the flow current parameters, and the intensity of substance emission as a result of an emergency situation taking into account the emergence of circulation of the compression waves and discharge, which substantially define the intensity of emissions.

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