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Finite difference streamline diffusion method using nonconforming space for incompressible time-dependent Navier-Stokes equations

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Abstract

This paper proposes a new nonconforming finite difference streamline diffusion method to solve incompressible time-dependent Navier-Stokes equations with a high Reynolds number. The backwards difference in time and the Crouzeix-Raviart (CR) element combined with the P0 element in space are used. The result shows that this scheme has good stabilities and error estimates independent of the viscosity coefficient.

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Authors and Affiliations

  1. Department of Mathematics, Sichuan University, Chengdu, 610064, P.R. China

    Gang Chen  (陈 刚) & Min-fu Feng  (冯民富)

  2. School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, 710049, P.R. China

    Yin-nian He  (何银年)

Authors
  1. Gang Chen  (陈 刚)
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  2. Min-fu Feng  (冯民富)
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  3. Yin-nian He  (何银年)
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Corresponding author

Correspondence to Min-fu Feng  (冯民富).

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 11271273 and 11271298)

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Chen, G., Feng, Mf. & He, Yn. Finite difference streamline diffusion method using nonconforming space for incompressible time-dependent Navier-Stokes equations. Appl. Math. Mech.-Engl. Ed. 34, 1083–1096 (2013). https://doi.org/10.1007/s10483-013-1729-x

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  • DOI: https://doi.org/10.1007/s10483-013-1729-x

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Chinese Library Classification

2010 Mathematics Subject Classification

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