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Abstract

The Navier-Strokes equations are usually used to solve the convective problems, however, to satisfy the conversation of mass, the uncertainty of pressure terms will easily trigger off the numerical divergence during the iterative process; which results in a calculating failure and makes the numerical solutions impossible. In this study, a vorticity–transport method that avoids the involvement of pressure terms by cross differentiate the governing equations and meets the flow conservation with stream function was proposed. With the aid of the upwind scheme and implicit method, an effective transformation from the partial differential equations into the vortex potential algebraic equations would be completed. From the numerical solution showed, not only agreed with the experiment result and the simulation of CFD package “NISTIR”, but also the available scope of Reynold number and Pelect number could be extended up to 2500, 25 which had approached to the turbulent transition.

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