Detail of the Leith type third-order of upwind scheme and application to viscous incompressible unbounded flows for Re greater than or equal to 1000
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viscous incompressible flow, unbounded flow, flow analysis, Leith type third order upwind scheme, high Reynolds number, open boundary condition, backward facing step flow, blunt based body flow, finite difference method, rectangular cylinder obstacle flow
In this paper, a detailed description of the Leith type three-order upwind finite difference schemes indispensable to compute numerical solutions of incompressible unbounded flows for R(sub e) which is greater than or equal to 1,000 is given. To test the effectiveness of this scheme, three problems are defined, namely, the backward-facing step, the blunt based body, and the rectangular cylinder obstacle. A detailed description is given on finite difference approximations of initial conditions, boundary conditions, and sharp corners for each problem. Also, a detailed description is given on 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.
Detail of the Leith type third-order of upwind scheme and application to viscous incompressible unbounded flows for Re greater than or equal to 1000
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