Abstract
The nonstaggered grids are adopted in this paper for solving the governing equations of flows in the curvilinear coordinate systems. The present paper demonstrates the basic reason and corresponding eliminating method for the pressure oscillation, and deduces the corrected expressions for the curvilinear velocity components in which an additional term representing the difference between the 1-δ and 2-δ difference values for the pressure gradient appears. Thus if an oscillatory pressure field were arisen, the magnitude of this term would be large and would act to remove the oscillation; whereas for nonoscillatory field the magnitude of this term remains small. As examination for the numerical method, 3-D turbulent flow in a square duct with 90° bend and 3-D turbulent mixing flow in a lobed-mixer were calculated respectively. The numerical results are satisfactory.
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Zhang, J., Li, L. & Wu, G. Numerical calculation of 3-D turbulent flow in curvilinear coordinate systems with nonstaggered grids. J. of Thermal Science 5, 158–163 (1996). https://doi.org/10.1007/BF02653179
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DOI: https://doi.org/10.1007/BF02653179