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

descriptionPublicationkeyboard_double_arrow_right Article 26 Nov 2001 English Publisher:WileyJournal:Communications in Numerical Methods in Engineering, volume 18, pages 1-14 (issn: 1069-8299, eissn: 1099-0887,

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Authors: Li, Kaitai; Huang, Aixiang; Zhang, Wenling;

doi: 10.1002/cnm.459

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

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Abstract

AbstractIn 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.

Related Organizations

Xi’an Jiaotong-Liverpool University
China (People's Republic of)

Keywords

tensor calculus, finite element method, impeller of ARC No. 3, Gas dynamics (general theory), General theory of rotating fluids, dimension split algorithm, turbomachine flow, stream function, impeller of NASA 1102, Gostelow's compressor, compressible Navier-Stokes equations, stream surface, Finite element methods applied to problems in fluid mechanics

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