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Fully discrete Jacobi-spherical harmonic spectral method for Navier-Stokes equations

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Abstract

A fully discrete Jacobi-spherical harmonic spectral method is provided for the Navier-Stokes equations in a ball. Its stability and convergence are proved. Numerical results show efficiency of this approach. The proposed method is also applicable to other problems in spherical geometry.

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Authors and Affiliations

  1. Department of Mathematics, Shanghai University, Shanghai, 200444, P. R. China

    Wei Huang  (黄伟)

  2. Department of Mathematics, Shanghai Normal University, Shanghai, 200234, P. R. China

    Ben-yu Guo  (郭本瑜)

  3. Scientific Computing Key Laboratory of Shanghai Universities, Shanghai, 200234, P. R. China

    Ben-yu Guo  (郭本瑜)

  4. Division of Computational Science of E-Institute of Shanghai Universities, Shanghai, 200234, P. R. China

    Ben-yu Guo  (郭本瑜)

Authors
  1. Wei Huang  (黄伟)
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  2. Ben-yu Guo  (郭本瑜)
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Corresponding author

Correspondence to Wei Huang  (黄伟).

Additional information

Communicated by GUO Xing-ming

Project supported by the National Natural Science Foundation of China (No. 10771142), Science and Technology Commission of Shanghai Municipality (No. 75105118), Shanghai Leading Academic Discipline Projects (Nos. T0401 and J50101), Fund for E-institutes of Universities in Shanghai (No. E03004), and Innovative Foundation of Shanghai University (No. A.10-0101-07-408)

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Huang, W., Guo, By. Fully discrete Jacobi-spherical harmonic spectral method for Navier-Stokes equations. Appl. Math. Mech.-Engl. Ed. 29, 453–476 (2008). https://doi.org/10.1007/s10483-008-0404-1

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  • DOI: https://doi.org/10.1007/s10483-008-0404-1

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