A Scalable Well-Balanced Numerical Scheme for the Modeling of Two-Phase Shallow Granular Landslide Consolidation

25 Pages Posted: 14 Aug 2023

See all articles by Federico Gatti

Federico Gatti

affiliation not provided to SSRN

Carlo de Falco

affiliation not provided to SSRN

Simona Perotto

affiliation not provided to SSRN

Luca Formaggia

affiliation not provided to SSRN

Manuel Pastor

Polytechnic University of Madrid

Abstract

We introduce a new method to efficiently solve a variant of the Pitman-Letwo-phase depth-integrated system of equations, for the simulation of a fastlandslide consolidation process. In particular, in order to cope with the loss ofhyperbolicity typical of this system, we generalize Pelanti’s proposition for thePitman-Le model to the case of a non-null excess pore water pressure configuration.The variant of the Pitman-Le model is numerically solved by relyingon the approach the authors set to discretize the corresponding single-phasemodel, jointly with a fictitious inter-phase drag force which avoids arising thespurious numerical oscillations induced by the loss of hyperbolicity. To verifythe reliability of the proposed simulation tool, we first assess the accuracy andefficiency of the new method in ideal scenarios. In particular, we investigatethe well-balancing property and provide some relevant scaling results for theparallel implementation of the method. Successively, we challenge the procedureon real configurations from the available literature.

Keywords: Taylor-Galerkin scheme, Depth-integrated models, Path-conservative methods, Parallel simulations, Two-phase model, Debris flow.

Suggested Citation

Gatti, Federico and de Falco, Carlo and Perotto, Simona and Formaggia, Luca and Pastor, Manuel, A Scalable Well-Balanced Numerical Scheme for the Modeling of Two-Phase Shallow Granular Landslide Consolidation. Available at SSRN: https://ssrn.com/abstract=4540775 or http://dx.doi.org/10.2139/ssrn.4540775

Federico Gatti (Contact Author)

affiliation not provided to SSRN ( email )

No Address Available

Carlo De Falco

affiliation not provided to SSRN ( email )

No Address Available

Simona Perotto

affiliation not provided to SSRN ( email )

No Address Available

Luca Formaggia

affiliation not provided to SSRN ( email )

No Address Available

Manuel Pastor

Polytechnic University of Madrid ( email )

Madrid
Spain

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