Abstract
In this paper, a finite-volume method on a moving unstructured computational grid for simulation of incompressible flows is presented and developed. In order to strictly assure both physical and geometric conservation laws, the unstructured moving-grid finite-volume method is constructed based on four-dimensional control volume in which space and time are unified. In the method, the velocity and the pressure are connected through a fractional step approach in four-dimensional control volume. We show the detailed formulation of the method and that the method works effectively for numerical simulations of flows including moving boundary. Furthermore, the method is applied for coupled simulation of fluid and motion dynamics. The motion equation with six degrees of freedom is solved in a coupled manner together with the fluid Navier-Stokes equations. Hukidama, which is a japanese toy that has been around since long ago, is lifted up in a jet stream while swinging. The motion of Hukidama is demonstrated and it is shown that the method works effectively for coupled simulation of fluid and motion dynamics.
