PI: Rocío González Díaz Abstract: The general aim of our research is to study fundamental problems that arise in computational topology and their interaction with data analysis and machine learning. The project is divided into three fundamental sections: 1. Advances in computational algebraic topology. The first part of the project is devoted to studying the computability …
Advances in Computational Topology and Applications Leer más »
PI: Antonio Suárez Fernándezco-PI: Francisco Guillén González Abstract: Mathematics has long been intertwined with biological sciences. The synergy between biology and mathematics seems to enrich both fields. Biology is increasingly stimulating the creation of new mathematical theories to explain in a simplified way the complexity of the world of living organisms. On the other hand, the …
PDEs for Biological models with Chemotaxis and Nonlocal effects Leer más »
PI: Tomás Chacón Rebollo co-PI: Macarena Gómez Mármol Acronym: ARIA Abstract: The project Accurate Roms for Industrial Applications aims at developing an array of mathematical methods for constructing predictive reduced-order models (ROMs) with guaranteed accuracy, robustness, reliability and efficiency for applications involving complex physical phenomena. New approaches to this challenge are proposed here with a …
PI: Tomás Chacón Rebollo co-PI: Macarena Gómez Mármol Abstract: In this project we address the use of Reduced Order Modeling (ROM) to optimize the energy consumption of buildings. Buildings are responsible for 40% of energy consumption in the EU. One of the main bottlenecks to perform the energy analysis is the need to use simplified …
PI: Tomás Chacón Rebollo Abstract: This project combines computational fluid mechanics with reduced order modeling with Variational Multi-Scale turbulence models. It has as main objectives on the one hand the precise structural modeling of the closure functions of VMS models. We intend to build order models reduced that allow to obtain precise expressions of the parameterization …
PI: Tomás Chacón Rebollo co-PI: Macarena Gómez Mármol Abstract: World energy needs make it necessary the research in energy saving procedures and renewable energy sources, to contribute to sustainable development. This project is focused on the analysis and structural optimization of courtyards as elements of energy saving in the acclimatization of buildings, as well as …
Modelización de Orden Reducido Orientada al Diseño Eco-Eficiente de Edificios Leer más »
PIs: Enrique D. Fernández Nieto and Yohal Penel Abstract: The objective is to develop new numerical methods to simulate free surface flows. A hierarchy of dispersive models was built from a Galerkin type formalism: a semi-discretization according to the vertical (reinterpretation of the multi-layer formalism) makes it possible to reduce the dimension of the problem …
Accurate numerical methods for free-surface flows Leer más »
PI: Enrique D. Fernández Nieto Abstract: The main objective of this project is to introduce new multilayer non-hydrostatic mathematical models for the simulation of geophysical flows such as tsunami waves, storm surges, debris flows, landslides, etc. that can be used to model real-world problems. A relaxation strategy will be used to impose weakly the zero divergence …
PI: Enrique D. Fernández Nieto Abstract: The objectives of the project are: Development of numerical schemes for nonconservative hyperbolic systems: we aim to complete the investigation of the convergence properties of path-conservative numerical methods and to obtain new families of numerical schemes with improved properties. Application to the simulation of geophysical flows: in order to achieve …
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 …
