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High Order Finite Volume Methods Applied to Sediment Transport and Submarine Avalanches

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Hyperbolic Problems: Theory, Numerics, Applications

In this work different numerical models related with the sediment transport process are presented. Two kinds of models are presented: the first one uses a continuity equation for the sediment layer in order to study bed-load sediment transport phenomena. The second one is a model for submarine avalanches.

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References

  1. M.J. Castro, E.D. Fernández-Nieto, A.M. Ferreiro. Sediment transport models in Shallow Water equations and numerical approach by high order finite volume methods. Submitted (2006).

    Google Scholar 

  2. M.J. Castro, J.M. Gallardo and Carlos Parés. High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems. Math. Comp. 75(255): 1103–1134, (2006).

    Article  MATH  MathSciNet  Google Scholar 

  3. T. Chacón Rebollo, A. Domínguez Delgado, E.D. Fernández Nieto, A family of stable numerical solvers for Shallow Water equations with source terms. Comput. Methods Appl. Mech. Eng. 192, 203–225, (2003).

    Article  Google Scholar 

  4. A.M. Ferreiro. Desarrollo de técnicas de post-proceso de flujos hidrodinámicos, modelización de problemas de transporte de sedimentos y simulación numérica mediante técnicas de volúmenes finitos. Thesis, University of Sevilla, Spain (2006).

    Google Scholar 

  5. A.J. Grass. Sediments transport by waves and currents. SERC London Cent. Mar. Technol., Report No. FL29, (1981).

    Google Scholar 

  6. J. Hudson. Numerical technics for morphodynamic modelling. Thesis, University of Whiteknights, (2001).

    Google Scholar 

  7. E. Meyer-Peter, R. Müller. Formulas for bed-load transport. Rep. 2nd Meet. Int. Assoc. Hydraul. Struct. Res., Stockholm: 39–64, (1948).

    Google Scholar 

  8. C. Parés, M.J. Castro. On the well-balanced property of Roe’s method for nonconservative hyperbolic systems. Applications to shallow water systems. ESAIM: M2AN 38(5): 821–852, (2004).

    Article  MATH  Google Scholar 

  9. S.B. Savage, K. Hutter. The dynamics of avalanches of granular materials frominitiation to run-out. Acta Mech. 86, 201–223 (1991).

    Article  MATH  MathSciNet  Google Scholar 

  10. E.F. Toro, V.A. Titarev. MUSTA schemes for systems of conservation laws. Technical Report NI04033, Isaac Newton Institute for Mathematical Sciences, Univ. Cambridge, (2004).

    Google Scholar 

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Bresch, D., Díaz, M.J.C., Fernández-Nieto, E.D., Ferreiro, A.M., Mangeney, A. (2008). High Order Finite Volume Methods Applied to Sediment Transport and Submarine Avalanches. In: Benzoni-Gavage, S., Serre, D. (eds) Hyperbolic Problems: Theory, Numerics, Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75712-2_20

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