A Geometric Method and Dimension Split Algorithm for The 3-D Compressible Navier-Stokes Equations in Turbomachine - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 2001

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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Dates and versions

inria-00072497 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00072497 , version 1

Cite

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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