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A Dispersion-Relation-Preserving Upwind Combined Compact Scheme for Convection-diffusion Equations with Variable Coefficients

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High Performance Computing and Applications (HPCA 2015)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9576))

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Abstract

In the paper a new dispersion-relation-preserving upwind combined compact difference scheme (DRP-UCCD) to solve a time-dependent convection diffusion equations with variable coefficients is proposed. The developed scheme is constructed by making use of the high-order upwind combined compact difference operators, which can preserve the dispersion relation and enhance the convective stability. The scheme is proved to have the unconditional stability and the error accuracy is six order on space and two order on time. Numerical experiments confirm its high efficiency.

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Acknowledgements

S.H. Zhang was supported by Promotive Research Fund for Excellent Young and Middle-aged Scientists of Shandong Province (BS2013NJ016) and the Project-sponsored by SRF for ROCS, SEM.

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Authors and Affiliations

  1. School of Mathematics, Shandong University, Jinan, 250100, Shandong, China

    Shouhui Zhang & Weidong Zhao

  2. School of Mathematical Sciences, University of Jinan, Jinan, 250022, Shangdong, China

    Shouhui Zhang & Xuanxin Wang

Authors
  1. Shouhui Zhang
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  2. Xuanxin Wang
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  3. Weidong Zhao
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Corresponding author

Correspondence to Shouhui Zhang .

Editor information

Editors and Affiliations

  1. School of Computer Engineering, Shanghai University, Shanghai, China

    Jiang Xie

  2. Chemical and Petroleum Engineering, University of Calgary, Calgary, Alberta, Canada

    Zhangxin Chen

  3. Mathematics Department, University of Wyoming, Laramie, Wyoming, USA

    Craig C. Douglas

  4. School of Computer Engineering, Shanghai University, Shanghai, China

    Wu Zhang

  5. Mathematics and Informatics, South China Agricultural University, Guangzhou, China

    Yan Chen

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Zhang, S., Wang, X., Zhao, W. (2016). A Dispersion-Relation-Preserving Upwind Combined Compact Scheme for Convection-diffusion Equations with Variable Coefficients. In: Xie, J., Chen, Z., Douglas, C., Zhang, W., Chen, Y. (eds) High Performance Computing and Applications. HPCA 2015. Lecture Notes in Computer Science(), vol 9576. Springer, Cham. https://doi.org/10.1007/978-3-319-32557-6_10

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  • DOI: https://doi.org/10.1007/978-3-319-32557-6_10

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-32556-9

  • Online ISBN: 978-3-319-32557-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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