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A SPH model for dike overtopping and dam liquefaction with bed-load transport, bottom drag and mobile boundaries

pubblicazioni - Memoria

A SPH model for dike overtopping and dam liquefaction with bed-load transport, bottom drag and mobile boundaries

Un modello di miscela per trasporto solido di fondo e frane rapide sviluppato in SPHERA v.8.0 (RSE SpA) e applicato a: dam break di miscela, dam break erosivo, tracimazione di un argine in terra. La liquefazione della diga inferiore di San Fernando simulata tramite un nuovo schema semplificato per la liquefazione dei terreni. Uno schema per il trattamento delle condizioni al contorno con sforzi di taglio sviluppato e validato su flussi alla Couette sferici.

A mixture model for bed-load transport is developed and coupled with the SPH boundary treatment scheme of Di Monaco et al. (2011). The model formulation is consistent with the packing limit of the Kinetic Theory of Granular Flow (KTGF), despite the approximations underlying a mixture model. Preliminary validations refer to an experimental dike overtopping (Schmocker & Hager, 2012) and a mixture dam break (Komatina & Jovanovic, 1997).

A demonstrative erosional dam break is investigated to compare the mixture model with a 2-phase SPH model for geotechnical applications (Gadget Soil, TUHH; Grabe & -2014, 2015-; Ulrich -2013-). A simplified approach for soil liquefaction is integrated in the mixture model for a preliminary representation of the liquefaction of the Lower San Fernando dam (USA, 1971). This approach is simply based on linearized pore pressure functions and can be improved by simulating mobile frontiers.

In this perspective, the shear stress boundary terms of Ferrand et al. (2013) are adapted to mobile frontiers and integrated in a boundary treatment scheme with discrete elements and a Linearized Partial Riemann Solver (Amicarelli et al., 2013). These terms are validated by comparison with the analytical solutions of the spherical Couette flows. The numerical developments of this study are implemented in the SPH code SPHERA v.8.0 (RSE SpA), which is distributed as FOSS (Free/Libre and Open Source Software) on a GitHub public repository (SPHERA v.8.0, RSE SpA).

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