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Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012 pp 415–425Cite as

Two-Phase Flow Solved by High Order Discontinuous Galerkin Method

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Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 95))

Abstract

In this article we present a discretisation of a one-dimensional, hyperbolic model for two-phase pipe flow based on a Discontinuous Galerkin Finite Element Method with a viscous regularisation to suppress the Gibbs phenomenon.

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References

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Author information

Authors and Affiliations

  1. Delft Institute of Applied Mathematics, TU Delft, The Netherlands

    J. S. B. van Zwieten, D. R. van der Heul & C. Vuik

  2. Pipelines, Flow Assurance and Subsea Systems, P&T, Shell, Amsterdam, The Netherlands

    R. H. A. IJzermans & R. A. W. M. Henkes

Authors
  1. J. S. B. van Zwieten
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  2. D. R. van der Heul
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  3. R. H. A. IJzermans
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  4. R. A. W. M. Henkes
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  5. C. Vuik
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Corresponding author

Correspondence to J. S. B. van Zwieten .

Editor information

Editors and Affiliations

  1. Institut Polytechnique de Bordeaux, Université de Bordeaux, Pessac, France

    Mejdi Azaïez

  2. Ecole Nationale d'Ingénieurs de Tunis, Université de Tunis El Manar, Tunis, Tunisia

    Henda El Fekih

  3. EPFL-SB-MATHICSE-MCSS, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    Jan S. Hesthaven

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© 2014 Springer International Publishing Switzerland

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van Zwieten, J.S.B., van der Heul, D.R., IJzermans, R.H.A., Henkes, R.A.W.M., Vuik, C. (2014). Two-Phase Flow Solved by High Order Discontinuous Galerkin Method. In: Azaïez, M., El Fekih, H., Hesthaven, J. (eds) Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012. Lecture Notes in Computational Science and Engineering, vol 95. Springer, Cham. https://doi.org/10.1007/978-3-319-01601-6_34

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