Finite Element Analysis for Flow Around a Rotating Body using Chimera Method

In this paper, the Chimera method with the Schwarz algorithm, which is one of overlapping domain decomposition methods, is applied for a flow around a rotating body. The incompressible Navier–Stokes equations expressed in a non-inertial frame of reference are used for the governing equations. The implicit scheme with accuracy of the second order is used for the temporal discretization. The mixed finite element formulation with the iso-P2 P1/P1 elements for velocity and pressure elements is used for the spatial discretization. For numerical examples, two-dimensional analyses of flow around a circular cylinder and an ellipse cylinder which rotate uniformly in a uniform flow were performed, the validity of the present technique was verified and the characteristics of the flow were considered.