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Numerical Scheme for a Stratigraphic Model with Erosion Constraint and Nonlinear Gravity Flux

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Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems (FVCA 2017)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 200))

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Abstract

In this work , we study an extension of the model introduced by Eymard et al. [Int. J. Numer. Methods Engrg. 60, 527–248 (2004)] for the simulation of large scale transport processes of sediments, subject to an erosion constraint. The novelty we consider lies in the diffusion law relating the flux of sediments and the slope of the topography, that now involves a p-Laplacian with \(p>2\) in order to get more realistic landscape evolutions. This physical sophistication entails the construction of an entirely new numerical scheme, the details of which shall be supplied.

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References

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Authors and Affiliations

  1. Team RAPSODI, Inria Lille – Nord Europe, 40 avenue Halley, 59650, Villeneuve d’Ascq, France

    Clément Cancès

  2. IFP Energies nouvelles, 1 & 4 avenue de Bois Préau, 92852, Rueil-Malmaison Cedex, France

    Didier Granjeon, Nicolas Peton, Quang Huy Tran & Sylvie Wolf

Authors
  1. Clément Cancès
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  2. Didier Granjeon
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  3. Nicolas Peton
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  4. Quang Huy Tran
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  5. Sylvie Wolf
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Corresponding author

Correspondence to Nicolas Peton .

Editor information

Editors and Affiliations

  1. Equipe RAPSODI, Inria Lille - Nord Europe, Villeneuve-d’Ascq, France

    Clément Cancès

  2. Commissariat à l'énergie atomique et aux énergies alternatives, Centre de Saclay, Gif-sur-Yvette, France

    Pascal Omnes

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Cancès, C., Granjeon, D., Peton, N., Tran, Q.H., Wolf, S. (2017). Numerical Scheme for a Stratigraphic Model with Erosion Constraint and Nonlinear Gravity Flux. In: Cancès, C., Omnes, P. (eds) Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems. FVCA 2017. Springer Proceedings in Mathematics & Statistics, vol 200. Springer, Cham. https://doi.org/10.1007/978-3-319-57394-6_35

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