ABSTRACT |
In this paper we give a detailed description of the Leith type three-order upwind finite difference schemes indispensable to compute numerical solutions of incompressible unbounded flows for Re>-1,000. To test the effectiveness of this scheme, we define three problems: the backward-facing step, the blunt based body and the rectangular cylinder obstacle; give a detailed description of finite difference approximations of initial conditions, boundary conditions and sharp corners for each problem; and give a detailed description of finite difference approximations for the four investigated open boundary conditions. The results of numerical experiments showed that this scheme is stable and accurate as was expected, and also that there are large differences among the four open boundary conditions in flows in the domain near the open boundary, when the problem becomes more complicated. |