PI: Enrique D. Fernández Nieto
Abstract: The main objective of this project is the development of numerical simulators in the field of hydro and morphodynamics that constitute useful tools for the evaluation and forecasting risks related to natural catastrophes. From a modeling point of view, new models will be developed for simulation of floods; generation and propagation of tsunamis; avalanches; erosion, transport and sediment deposition and patterns of storm surges. The expected contributions of these new models are, mainly, the incorporation of dispersive and non-hydrostatic effects, the improvement of vertical profiles of speed by using multilayer models and incorporating terms that adequately model erosion, deposition, and dilation and compaction effects in sediments and avalanches. From the point of view of numerical analysis, the development of new numerical schemes for these models and will be analyzed within the framework of the solutions ‘Entropy-measure valued’. Numerical schemes will be developed to alleviate or solve the difficulty of convergence to the correct weak solutions, which are able to efficiently approximate EDP systems with degenerate diffusion terms and / or Discontinuous coefficients by implicit or semi-implicit treatment of these terms.
Source of Funding: Plan Estatal 2013-2016 Retos – Proyectos I+D+i. Reference: MTM2015-70490-C2-2-R
Implied entities: Universities of Córdoba and Sevilla
iMAT research line: ⊕ RL3. Environmental systems and risk prediction. ⊕ RL7. Numerical Analysis.
Researchers:
