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Modelling of a helical vortex dynamics based on the nonlinear Schrodinger equation

Russian version

Kuibin P. A.

¹Kutateladze Institute of Thermophysics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia

Email: pak0659@mail.ru

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Abstract
References
Статистика просмотров

The paper is devoted to the study of the dynamics of a conical helical vortex based on a known approach in which the equations of vortex motion within the framework of the local induction approximation are transformed into a nonlinear Schrodinger equation. A conical helical vortex, similar to that observed in experiments, was considered as the initial configuration. Numerical calculations revealed the development of the wave structure and the emergence of conditions preceding vortex reconnection. The results may be utilized to predict the operational regimes of a hydraulic turbine characterized by aperiodic strong pressure pulses in the hydraulic turbine's circuit. Keywords: vortex, local induction approximation, nonlinear Schrodinger equation, numerical simulation.

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