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| Titel |
Numerical simulation of two-dimensional shallow submarine avalanches and generated tsunami |
| VerfasserIn |
Enrique Fernandez-Nieto, Manuel Castro Díaz, Anne Mangeney |
| Konferenz |
EGU General Assembly 2010
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| Medientyp |
Artikel
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| Sprache |
Englisch
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| Digitales Dokument |
PDF |
| Erschienen |
In: GRA - Volume 12 (2010) |
| Datensatznummer |
250032151
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| Zusammenfassung |
| Abstract
In this work we present a 2D two-layer Savage-Hutter type model, with application to aerial
or submarine avalanches over variable topography and generated tsunami. It is an extention of
the model presented in [2]. The first layer is filled with a homogeneous inviscid fluid with
constant density and the second layer is made of a fluidized granular mass. The two fluids
(i.e. water and fluidized debris) are assumed to be immiscible. The definition of the model
contains a Coulomb friction law that takes into account the buoyancy effects over the sand
grains.
To discretize the model, we study different 2D high order well-balanced finite
volume methods (see [1]), with a special treatment of the Coulomb friction term. Its
discretization is important, to properly simulate the landslides and to preserve the
stationary solutions corresponding to water at rest and no movement of the sediment
layer.
Finally, we present some numerical tests, by simulating submarine and sub-aerial
avalanches and the generated tsunami, as well as problems with real bathymetry.
[1] M. Castro, E.D. Fernández, A. Ferreiro, J.A. García and C. Parés. High order
extensions of Roe schemes for two dimensional nonconservative hyperbolic systems. J. Sci.
Comput., 39: 67-114, (2009).
[2] E. D. Fernández-Nieto, F. Bouchut, D. Bresch, M.J. Castro, A. Mangeney. A new
Savage-Hutter type model for submarine avalanches and generated tsunami. J. Comput.
Phys., 227(16): 7720-7754, (2008). |
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