Group Leader: Manuel Castro Díaz
Description:
RL3 focuses on the development of mathematical technology for the risk management of hazards related to geophysical flows. More precisely, the goal is to obtain robust and fast solvers able to give faster than real-time reliable simulations that are useful tools in operational forecasting and risk prediction.
Our research, has dealt with design and analysis of depth-integrated mathematical models based on the hydrostatic pressure assumption or including dispersive effects; multilayer model for debris flows, bedload and/or suspended sediment models; efficient implementation of the numerical models in GPU architectures using innovative HPC techniques; exhaustive validation of the proposed models with laboratory and real data and model integration into Early Warning Systems related with natural hazards.
Members:
Jorge Macías Sánchez
Gladys Narbona Reina
Research portfolio:
Modeling and simulation of geophysical flows
A. Theory of partial differential equations.
B. Mathematical modeling through conservation laws.
C. Stability and consistency analysis of the numerical methods.
D. Numerical approximation using finite volume and DG techniques.
E. Numerical analysis.
F. Scientific software.
G. GPU implementation.
H. Uncertainty quantification
Geophysics, Environment, Aeronautics, Astrophysics, Natural hazards risk prevention, Energy, Materials, Aquaculture.
Modeling Environmental Systems & Risk analysis
A. Theory of partial differential equations.
B. Mathematical modeling through conservation laws.
C. Stability and consistency analysis related to the physics of the problem.
D. Numerical approximation using finite volume techniques.
E. Numerical analysis.
F. Scientific software.
G. GPU implementation.
H. Uncertainty quantification
Geophysics, Environment, Astrophysics, Aeronautics, Natural hazards risk prevention, Energy, Materials, Aquaculture.
Related projects:
- Modelling and computation of shocks and interfaces
- Modelos multicapa no-hidrostáticos relajados y métodos numéricos de alto orden bien equilibrados para flujos geofísicos
- Accurate numerical methods for free-surface flows
- Desarrollo de simuladores hidrodinámicos y morfodinámicos eficientes para la evaluación y previsión de riesgos II
- Desarrollo, análisis e implementación eficiente de métodos numéricos de alto orden para modelos simplificados de fluidos con incertidumbre en los datos
- Centre of Excellence for Exascale Solid Earth
- Enabling dynamic and Intelligent workflows in the future EuroHPC ecosystem
- All Risk Integrated System TOwards Trans-hoListic Early-warning & Enhanced European Natural Hazards Scientific Partnership
- Acceleration Global science In Tsunami HAzard and Risk analysis
- Tsunami preparedness risk assessment in Andalusian West Coast, Spain
- Study on the estimation of economic losses due to tsunamis in Spain
- Mejora del sistema de alerta temprana de tsunamis en España mediante técnicas de Machine Learning
- Relaxed non-hydrostatic multilayer models and high-order well-balanced numerical MEthods for GeophysicAl FLOWs
- Development of efficient hydrodynamic and morphodynamic simulators for risk assessment and forecasting
- Well balanced high order numerical methods for nonlinear hyperbolic systems. Applications to the simulation of geophysical flows
- Well Balanced High Order Numerical Methods for Nonlinear Hyperbolic Systems: Application to Design of Mathematical Tools for Early Warning of Natural Disasters
Related transfer:
- Design of a theoretical framework to derive high-order numerical methods for hyperbolic systems of PDEs that include nonconservative products and/or source terms with good mathematical properties
- Accurate analysis of courtyard thermal performance with application to project design in Architecture
- Systems for explosive detection
- Faster than real time tsunami modeling
- Use of innovative HPC techniques for faster than real time simulations
- Integration of Tsunami-HySEA as the mathematical model of the Spanish and Italian Tsunami Early Warning Systems
- Integration of Tsunami-HySEA in existing general purpose Natural Hazards tools
