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An evaluation of a multi-dimensional FCT algorithm with some higher-order upwind schemes

  • 3. Numerical Methods and Algorithms
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Fourteenth International Conference on Numerical Methods in Fluid Dynamics

Part of the book series: Lecture Notes in Physics ((LNP,volume 453))

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Abstract

Small-scale ripples appearing in solutions of two test problems with the multi-dimensional flux-corrected transport (FCT) algorithm of Zalesak (Z-FCT) [1] are investigated. An alternative derivation of the Z-FCT flux limiter is presented directly from a multi-dimensional discrete equation. Three second-order schemes are tested.

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References

  1. Zalesak, S. T. J. Comp. Phys., 31:335–362, 1979.

    Article  Google Scholar 

  2. Sharif, M. A. R. and Busnaina, A. A. J. Fluid Eng., 115:33–40, 1993.

    Google Scholar 

  3. Tamamidis, P. and Assanis, D.N. Int. J. Numer. Methods Fluids,16:931–948, 1993.

    Article  Google Scholar 

  4. Löhner, R., Morgan, K., Vahdati, M., Boris, J. P. and Book, D. L. Communications in Applied Numerical Methods, 4:717–729, 1988.

    Article  Google Scholar 

  5. Rompteaux, A. and Estivalezes, J. L. Lecture Notes in Physics, 13th International Conference on Numerical Methods in Fluids Dynamics, 140–144, 1992.

    Google Scholar 

  6. Smith, R. M. and Hutton, A. G.Numerical Heat Transfer, 5:439–461, 1982.

    Google Scholar 

  7. Li, Y. and Rudman, M. ”Assessment of higher-order upwind schemes incorporating FCT for linear and nonlinear convection-dominated problems.” Submitted to Numerical Heat Transfer, Part A 1993.

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Suresh M. Deshpande Shivaraj S. Desai Roddam Narasimha

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© 1995 Springer-Verlag

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Li, Y., Rudman, M. (1995). An evaluation of a multi-dimensional FCT algorithm with some higher-order upwind schemes. In: Deshpande, S.M., Desai, S.S., Narasimha, R. (eds) Fourteenth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 453. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-59280-6_157

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  • DOI: https://doi.org/10.1007/3-540-59280-6_157

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-59280-8

  • Online ISBN: 978-3-540-49228-3

  • eBook Packages: Springer Book Archive

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