Saint Venant’s equations for dense-snow avalanche modelling

[ES] La creciente preocupación por los riesgos naturales, como las avalanchas de nieve, ha propiciado el desarrollo de modelos numéricos ad hoc como una herramienta de soporte para su análisis y evaluación. Los modelos existentes para simulación de aludes se basan en la conservación de la masa y de la cantidad de movimiento, que son unas ecuaciones similares a las ecuaciones de Saint Venant para agua con diferencias sólo en los términos de fricción (modelo reológico). Este documento muestra las posibilidades de estas ecuaciones para simular avalanchas de placa-densa y el tratamiento numérico realizado en Iber. Se ha empleado una nueva metodología para equilibrar el término fuente y el vector de flujo evitando así oscilaciones espurias y movimientos no reales, y que modifica la pendiente de fondo en base a los parámetros del fluido y así detener su movimiento. La herramienta se ha probado en dos casos de estudio para analizar el comportamiento del fluido en función de los parámetros del mode[EN] The growing concern about natural hazards, such as snow avalanches, has led to the development of ad hoc numerical models as a support tool for their analysis and evaluation. Existing models for avalanche simulation are based on the conservation of mass and the momentum, which are similar equations to the Saint Venant equations for water with differences only in terms of friction (rheological model). This document shows the possibilities of these equations to simulate dense-slab avalanches and the numerical treatment carried out in Iber. A new methodology has been used to balance the source term and the flow vector to avoid spurious oscillations and unreal movements, modifying the bottom slope based on the fluid parameters and thus stop its movement. 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