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Highly Accurate Discretization of the Navier–Stokes Equations in Streamfunction Formulation

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Book cover Spectral and High Order Methods for Partial Differential Equations

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 76))

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Abstract

A discrete version of the pure streamfunction formulation of the Navier–Stokes equation is presented. The proposed scheme is fourth order in both two and three spatial dimensions.

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eferences

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Author information

Authors and Affiliations

  1. Afeka-Tel-Aviv Academic College for Engineering, 218 Bnei-Efraim St., Tel-Aviv, 69107, Israel

    D. Fishelov

  2. Institute of Mathematics, The Hebrew University, Jerusalem, 91904, Israel

    M. Ben-Artzi

  3. Department of Mathematics, University of Metz, Metz, France

    J.-P. Croisille

Authors
  1. D. Fishelov
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  2. M. Ben-Artzi
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  3. J.-P. Croisille
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Corresponding author

Correspondence to D. Fishelov .

Editor information

Editors and Affiliations

  1. , Division of Applied Mathematics, Brown University, George Street 182, Providence, 02912, Rhode Island, USA

    Jan S. Hesthaven

  2. , Department of Mathematical Sciences, Norwegian University of Science and Tech, Trondheim, 7491, Norway

    Einar M. Rønquist

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© 2011 Springer Berlin Heidelberg

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Fishelov, D., Ben-Artzi, M., Croisille, JP. (2011). Highly Accurate Discretization of the Navier–Stokes Equations in Streamfunction Formulation. In: Hesthaven, J., Rønquist, E. (eds) Spectral and High Order Methods for Partial Differential Equations. Lecture Notes in Computational Science and Engineering, vol 76. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15337-2_16

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