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A dimension split method for the 3-D compressible Navier-Stokes equations in turbomachine

✍ Scribed by Li, Kaitai ;Huang, Aixiang ;Zhang, Wen ling

Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
138 KB
Volume
18
Category
Article
ISSN
1069-8299

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✦ Synopsis

Abstract

In this paper, by using classical tensor calculus, we derive the compressible Navier–Stokes equation on a so‐called stream surface which is a two‐dimensional (2‐D) manifold that gives a definition of a stream function with the equation satisfied by it. Based on this, a new algorithm is proposed which is called dimension split algorithm. This new method is different from the domain decomposition method. In the domain decomposition method, we have to solve a three‐dimensional problem in each subdomain but we solve a 2‐D problem in each subdomain. A numerical experiment for the turbomachine is provided. Copyright © 2001 John Wiley & Sons, Ltd.

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