Several methodologies have successfully described the runner blade shape as a set of discrete sections joining the hub and shroud, defined by 3D geometrical forms of considerable complexity. This task requires an appropriate parametric approach for its accurate reconstruction. Among them, piecewise Bernstein polynomials have been used to create parametrizations of twisted runner blades by extracting some cross-sectional hydrofoil profiles from reference CAD data to be approximated by such polynomials. Using the interpolating polynomial coefficients as parameters, more profiles are generated by Lagrangian techniques. The generated profiles are then stacked along the spanwise direction of the blade via transfinite interpolation to obtain a smooth and continuous representation of the reference blade. This versatile approach makes the description of a range of different blade shapes possible within the required accuracy and, furthermore, the design of new blade shapes. However, even though it is possible to redefine new blade shapes using the aforementioned parametrization, a remaining question is whether the parametrized blades are suitable as a replacement for the currently used ones. In order to assess the mechanical feasibility of the new shapes, several stages of analysis are required. In this paper, bearing in mind the standard hydraulic test conditions of the hydrofoil test case of the Norwegian Hydropower Center, we present a structural stress–strain analysis of the reparametrization of a Francis blade, thus showing its adequate computational performance in two model tests.

En este trabajo se presenta la solución numérica al problema de flujo laminar bidimensional en una cavidad con la frontera superior móvil. Utilizando el software GiD Simulation se realiza el preprocesamiento y postprocesamiento de las simulaciones numéricas, el cual permite establecer la geometría del problema y analizar los resultados. Además, se emplea el software Kratos Multiphysics para el procesamiento del problema mediante elementos finitos. Los resultados demuestran la eficiencia de GiD como herramienta para resolver problemas de flujo y la integración con Kratos Multiphysics proporciona una solución confiable.

Rainfall-triggered debris flows are among the most destructive landslides affecting mountainous regions. On July 10, 2018, one such event occurred on the slopes of Cerro del Quinceo, Morelia, Mexico, exemplifying the devastating consequences of extreme {\color{blue} hydro-geological} conditions on settlements located on unstable, steep terrains. This paper investigates the numerical modeling of the complex geomechanical mechanisms behind the event. It shows an application of the Material Point Method (MPM) to provide insight into the simulation of these flow phenomena.