Numerical Simulation of Incompressible Flows around a Fish Model at Low Reynolds Number Using Seamless Virtual Boundary Method

Abstract

In this paper, the numerical simulation of incompressible flows around a fish model at low Reynolds number using the seamless virtual boundary method is presented. In order to satisfy the velocity conditions on the virtual boundary points, the forcing term is added not only on the grid points near the boundary but also on the grid points inside the boundary in the seamless virtual boundary method, so that the smooth physical quantities can be obtained. The present approach is verified by the flows around a 2D oscillating circular cylinder and a sphere. The flows around the stationary and swimming fish models are simulated for application to the more complicated flow geometry with moving boundary. These results show that the flows with the stationary and moving bodies can be predicted precisely. Then, it is concluded that the present seamless virtual boundary method is very promising for the numerical simulation of incompressible flows with the complicated geometry and the moving boundary.