Evaluation of a two-dimensional moving-mesh method for rigid body motions

摘要

A multi-zone moving-mesh method presented earlier by the authors to simulate general motion of two-dimensional bodies, is studied to demonstrate that in rotational motions this method dose not need the interpolations that are normally required for moving-mesh algorithms. Numerical results demonstrate that dispensing with this interpolation dose not result in a loss of solution accuracy. In this moving-mesh algorithm solution domain is divided into three zones. The first zone which includes the moving body, has a circular boundary and facilitates its rotational motion. The second zone with a square boundary includes the first zone and facilitates the transla-tional motion of the body. The third zone is a background grid, on which the second zone moves. With this configuration of grids any two-dimensional motion of a body can be modelled with almost no grid point insertion or deletion. The solution domain is discretised using a control-volume based finite-element (CVFE) method, and the unsteady form of Euler equations is solved using an advection upstream splitting method (AUSM). The accuracy of the algorithm is assessed by study of the numerical solution of test cases.