THE NAVIER-STOKES EQUATIONS IN STREAM LAYER AND ON STREAM SURFACE AND A DIMENSION SPLIT METHODS |
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Authors: | Li Kaitai Huang AixiangCollege of Sciences Xi'an Jiaotong University Xi'an China |
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Institution: | College of Sciences, Xi'an Jiaotong University, Xi'an, 710049, China. |
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Abstract: | In this paper,we proposal stream surface and stream layer.By using classical tensor calculus,we derive 3-D Navier-Stokes Equations(NSE)in the stream layer under semigeodesic coordinate system,Navier-Stokes equation on the stream surface and 2-D Navier-Stokes equations on a two dimensional manifold. After introducing stream function on the stream surface,a nonlinear initial-boundary value problem satisfies by stream function is obtained,existence and uniqueness of its solution are proven.Based this theory we proposal a new method called"dimension split method"to solve 3D NSE.OK |
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Keywords: | stream layer stream surface 2D manifold navier-stokes equations dimension split method |
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