[1] Wan Shui, Mogens Peter Nielsen,. Solving Navier-Stokes equation by mixed interpolation method [J]. Journal of Southeast University (English Edition), 2006, 22 (1): 93-95. [doi:10.3969/j.issn.1003-7985.2006.01.020]

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Solving Navier-Stokes equation by mixed interpolation method()

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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:

22

Issue:

2006 1

Page:

93-95

Research Field:

Civil Engineering

Publishing date:

2006-03-20

Info

Title:

Solving Navier-Stokes equation by mixed interpolation method

Author(s):

Wan Shui¹;  Mogens Peter Nielsen²

¹ College of Transportation, Southeast University, Nanjing 210096, China
² Department of Civil Engineering, Technical University of Denmark, Lyngby, Denmark

Keywords:

Navier-Stokes equation;  finite element method;  incompressible viscous flow;  mixed interpolation method

PACS:

TU311.3

DOI:

10.3969/j.issn.1003-7985.2006.01.020

Abstract:

The operator splitting method is used to deal with the Navier-Stokes equation, in which the physical process described by the equation is decomposed into two processes:a diffusion process and a convection process; and the finite element equation is established.The velocity field in the element is described by the shape function of the isoparametric element with nine nodes and the pressure field is described by the interpolation function of the four nodes at the vertex of the isoparametric element with nine nodes.The subroutine of the element and the integrated finite element code are generated by the Finite Element Program Generator(FEPG)successfully.The numerical simulation about the incompressible viscous liquid flowing over a cylinder is carried out.The solution agrees with the experimental results very well.

References:

[1] Zienkiewicz O C, Taylor R L.The finite element method, vol.3[M]. 5th ed.Butterworth Heinemann, 2000.
[2] Smith I M, Girffiths D V.Programming the finite element method[M].3rd ed.John Wiley & Sons, Inc.1998.
[3] Taylor C, Hughes T G.Finite element programming of the Navier-Stokes equation [M].Swansea:Pineridge Press Ltd, 1981.
[4] FEPG 5.0 user’s guide [R].FEPGENSOFT Co.Ltd., 2004.(in Chinese)
[5] FEPG 5.0 theory menu [R].FEPGENSOFT Co.Ltd., 2004.(in Chinese)
[6] Zhao Xiaobao.Fluid mechanics with engineering applications [M].Nanjing:Southeast University Press, 2004.(in Chinese)

Memo

Memo:

Biography: Wan Shui(1960—), male, doctor, professor, wanshui60421@yahoo.com.

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