Implementation of the immersed boundary method for solving problems of fluid dynamics with moving bodies

Abstract

This paper presents the implementation of the immersed boundary method (IBM) for grids consisting of arbitrary cells. This approach allows to combine the IBM with the body-fitted method (BFM). The implementation is based on the combination of the “ghost-cell” method and penalization method. The paper presents the IBM to determine the basic design parameters and the results of the verification of the method for laminar and turbulent flow regimes for both Newtonian and viscoplastic fluids. In the last test, the method was used to simulate a flow in an annular channel with the orbital motion of the inner cylinder.