Математичне моделювання деформації границі в’язкого тіла методом гідродинамічних потенціалів

О. П. Зінькевич, О. М. Нещадим, В. М. Сафонов

Анотація


MATHEMATICAL MODELING OF DEFORMATION BORDER VISCOELASTIC BODY HYDRODYHAMIC POTENTIALS METHOD

A. Zinkevych, A. Neshchadym, V. Safonov

        The viscous fluid theory stands practically important class of problems with pre-unknown (free boundary), which is determined in the process of resolving. One approach to solving this class of hydrodynamics problems is the method of hydrodynamic potentials, switch the main challenges of research and numerical calculations of some boundary integral equations, which relate only to the border area and take into account the boundary conditions directly. This conversion allows you to immediately identify unknown quantities at the border, without calculating them throughout the region. This distinguishes the method of boundary integral equations of the other methods.

        The article posed and solved the problem of viscous deformation of the body under the action of surface tension forces. We construct boundary integral equations, which are considered in conjunction with the kinematic boundary conditions. The method of time steps for the numerical analysis of liquid viscous deformation of the body under the action of surface tension forces.

        The steps method at time allows numerical analysis of liquid viscous deformation of the body under the action of surface tension.


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