A dipole method for simulation of stirring processes

Applied Mathematics, Mechanics and Physics


Аuthors

Vinnikov V. V.1*, Ganiev K. O.1**, Reviznikov D. L.1***, Ukrainsky L. E.2****

1. Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia
2. Nonlinear Wave Mechanics and Technology Center of the Russian Academy of Science,

*e-mail: vvinnikov@list.ru
**e-mail: thexder@mail.ru
***e-mail: reviznikov@inbox.ru
****e-mail: lukrainsky@nwmtc.ac.ru

Abstract

Some mathematical modeling aspects are discussed in regard to stirring processes. A dipole method is suggested to simulate stirring in fluids as well as to evaluate quality of resulting mixture. It is shown that dipole method is a compromise between high-precision, but resource-wasted contour method and economical, but less accurate marker method. Benefits of the method are versatility and applicability for enclosed and open flow ducts. Besides the method is generalized rather easy for three-dimensional case.

Keywords:

nonlinear wave mechanics; stirring apparatus; homogenization; vortex generators

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