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Towards higher-order accuracy on arbitrary grids

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Book cover Fifteenth International Conference on Numerical Methods in Fluid Dynamics

Part of the book series: Lecture Notes in Physics ((LNP,volume 490))

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Abstract

Several ways of achieving higher order accuracy on arbitrary grids are explored. These include polynomial reconstructions based on point and cell average values and the Discontinuous Galerkin method, in which the solution is expanded within a cell, and evolution equations are derived for the expansion coefficients. The polynomial reconstruction scheme based on cell averages is also extended to deal with unsteady viscous flows to higher order accuracy.

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Author information

Authors and Affiliations

  1. Institute for Computer Applications in Science and Engineering MS 132C, Nasa Langley Research Center, 23681-0001, Hampton, VA, USA

    V. Venkatakrishnan

  2. Metacomp Technologies, Inc., 5540 Wembly Avenue, 91031, Agoura, CA, USA

    Sukumar R. Chakravarthy

Authors
  1. V. Venkatakrishnan
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  2. Sukumar R. Chakravarthy
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Editor information

Paul Kutler Jolen Flores Jean-Jacques Chattot

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© 1997 Springer-Verlag

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Venkatakrishnan, V., Chakravarthy, S.R. (1997). Towards higher-order accuracy on arbitrary grids. In: Kutler, P., Flores, J., Chattot, JJ. (eds) Fifteenth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 490. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0107110

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  • DOI: https://doi.org/10.1007/BFb0107110

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63054-8

  • Online ISBN: 978-3-540-69120-4

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