Dimension Splitting Method for 3D Rotating Compressible Navier-Stokes Equations in the Turbomachinery
Year: 2009
International Journal of Numerical Analysis and Modeling, Vol. 6 (2009), Iss. 3 : pp. 420–439
Abstract
In this paper, we propose a dimension splitting method for Navier-Stokes equations (NSEs). The main idea is as follows. The domain of flow in 3D is decomposed into several thin layers. In each layer, The 3D NSEs can be represented as the sum of a membrane operator and a normal (bending) operator on the boundary of layer. And The Euler central difference is used to approximate the bending operator. When restricting the 3D NSEs on the boundary in each layer, we obtain a series of two dimensional-three components NSEs (called as 2D-3C NSEs). Then we construct an approximate solution of 3D NSES by solutions of those 2D-3C NSEs.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-IJNAM-776
International Journal of Numerical Analysis and Modeling, Vol. 6 (2009), Iss. 3 : pp. 420–439
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: 2D manifold semi-geodesic coordinate Navier-Stokes equations dimension splitting method.