TY - JOUR
T1 - Dimension Splitting Method for 3D Rotating Compressible Navier-Stokes Equations in the Turbomachinery
JO - International Journal of Numerical Analysis and Modeling
VL - 3
SP - 420
EP - 439
PY - 2009
DA - 2009/06
SN - 6
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/776.html
KW - 2D manifold, semi-geodesic coordinate Navier-Stokes equations, dimension splitting method.
AB - <p style="text-align: justify;">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.</p>