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A Geometric Method and Dimension Split Algorithm for The 3-D Compressible Navier-Stokes Equations in Turbomachine

Abstract : In this paper,using classical tensor calculus, we derive the compressible Navier-Stokes Equation on a two dimensional manifold as a stream surface , define stream fuction and derive the equation satisfied by stream function. Based on this a new algorithm is proposaled which is called dimension splite algorithm. This new method is difference from domain decomposition method. In domain decomposition method we have to solve 3-D problem in each subdomain but we solve two dimensional problem in each subdomain only in our new method.A numerical experiment for turbomachinery is devoted.
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https://hal.inria.fr/inria-00072497
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 10:07:56 AM
Last modification on : Friday, May 25, 2018 - 12:02:03 PM
Long-term archiving on: : Sunday, April 4, 2010 - 11:10:28 PM

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  • HAL Id : inria-00072497, version 1

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Li Kaitai, Huang Aixiang, Zhang Wen Ling. A Geometric Method and Dimension Split Algorithm for The 3-D Compressible Navier-Stokes Equations in Turbomachine. [Research Report] RR-4131, INRIA. 2001. ⟨inria-00072497⟩

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