Research Interests:
Research Interests:
[ES]Apuntes de la parte de Cálculo Numéricos de la asignatura Matemáticas III del grado en Ingeniería Química, elaborados por la profesora responsable
Research Interests:
[ES]Estos apuntes tienen su origen en las notas elaboradas para la asignatura Métodos Numéricos en Ecuaciones en Derivadas Parciales de la extinta Licenciatura de Matemáticas. Estas notas se han ido ampliando y corrigiendo durante los... more
[ES]Estos apuntes tienen su origen en las notas elaboradas para la asignatura Métodos Numéricos en Ecuaciones en Derivadas Parciales de la extinta Licenciatura de Matemáticas. Estas notas se han ido ampliando y corrigiendo durante los años de docencia de la asignatura Cálculo Científico, del actual grado de Matemáticas. Nuestro objetivo es que sigan creciendo e incorporando nuevos capítulos, es por tanto una obra en crecimiento. Esta versión es una ampliación de los apuntes "Métodos Numéricos para Ecuaciones en derivadas Parciales" (http://hdl.handle.net/10366/136968). El libro incluye las nociones sobre la teoría de distribuciones y los espacios de Sobolev que son estrictamente necesarias para la comprensión del resto de contenidos. El segundo capítulo se dedica a la formulación débil de problemas elípticos. En el tercer capítulo se formula la aproximación general abstracta de estos problemas y se introduce el concepto de Elemento Finito, construyendo el Método de Elementos Finitos a partir de los espacios de dimensión finita donde se busca la solución aproximada. El cuarto capítulo está destinado al Análisis Numérico del Método de Elementos Finitos. El quinto capítulo está destinado a los aspectos prácticos del Método de Elementos Finitos, en particular la programación del Método. En el capítulo sexto se describe el método multimalla como método más eficaz para resolver el sistema algebraico lineal de ecuaciones resultante y se realiza el análisis numérico correspondiente. En los dos últimos capítulos se describe la resolución numérica de problemas de evolución, concretamente de problemas parabólicos (capítulo 7) y problemas hiperbólicos (capítulo 8) combinado el método de Elementos Finitos con los métodos de resolución de Ecuaciones Diferenciales Ordinarias
Research Interests:
Research Interests:
The PhyFire is a simplified physical wildfire spread model that has it origin in a simple 2-D one-phase physical model, based on the energy and mass conservation equations, and takes into account convection and diffusion. As radiation is... more
The PhyFire is a simplified physical wildfire spread model that has it origin in a simple 2-D one-phase physical model, based on the energy and mass conservation equations, and takes into account convection and diffusion. As radiation is one of the dominant thermal transfer mechanism in wildfires, it was incorporated to the initial model with a local radiation term [1]. The influence of moisture content and heat absorption by pyrolysis were introduced in the model by means of a multivalued operator representing the enthalpy [2]. The non-local radiation from the flame above the fuel layer was included in the model enabling to cope with the effect of wind and slope over the flame tilt [3]. Efforts have also been made to improve the feasibility of the PhyFire model with simulations of real fires [4] and experimental fires [5], and it has been adapted to data assimilation techniques [6].
Research Interests:
Research Interests:
Research Interests:
Research Interests:
We present a parallel 2D version of a simplified semi-physical wildland fire spread model based on conservation equations, with convection and radiation as the main heat transfer mechanisms. This version includes some 3D effects. The... more
We present a parallel 2D version of a simplified semi-physical wildland fire spread model based on conservation equations, with convection and radiation as the main heat transfer mechanisms. This version includes some 3D effects. The OpenMP framework allows distributing the prediction operations among the available threads in a multicore architecture, thereby reducing the computational time and obtaining the prediction results much more quickly. The results from the experiments using data from a real fire in Galicia (Spain) confirm the benefits of using the parallel version.
Research Interests:
Research Interests:
Research Interests:
Climate Change is one of the most challenging problems that humanity faces today. To understand the magnitude and significance of the problem, society should use education as a way to create a fair, coherent and coordinated response. In... more
Climate Change is one of the most challenging problems that humanity faces today. To understand the magnitude and significance of the problem, society should use education as a way to create a fair, coherent and coordinated response. In this paper we describe the motivations, the design principles and the contents of a course that has been created to explain the science of Climate Change in simple but rigorous terms. We have created a Massive Online Open Course (MOOC) about the Science of Climate Change for primary and secondary teachers. In this paper, we describe how this course can contribute in the preparation of young generations to mobilize the society in the face of this very important problem. We discuss the general guidelines that were used to design the course and how these principles perfectly match the characteristics of the MOOC platform.
Research Interests:
Climate Change is one of the most challenging problems that humanity faces today. To understand the magnitude and significance of the problem, society should use education as a way to create a fair, coherent and coordinated response. In... more
Climate Change is one of the most challenging problems that humanity faces today. To understand the magnitude and significance of the problem, society should use education as a way to create a fair, coherent and coordinated response. In this paper we describe the motivations, the design principles and the contents of a course that has been created to explain the science of Climate Change in simple but rigorous terms. We have created a Massive Online Open Course (MOOC) about the Science of Climate Change for primary and secondary teachers. In this paper, we describe how this course can contribute in the preparation of young generations to mobilize the society in the face of this very important problem. We discuss the general guidelines that were used to design the course and how these principles perfectly match the characteristics of the MOOC platform.
Research Interests:
We present a parallel 2D version of a simplified semi-physical wildland fire spread model based on conservation equations, with convection and radiation as the main heat transfer mechanisms. This version includes some 3D effects. The... more
We present a parallel 2D version of a simplified semi-physical wildland fire spread model based on conservation equations, with convection and radiation as the main heat transfer mechanisms. This version includes some 3D effects. The OpenMP framework allows distributing the prediction operations among the available threads in a multicore architecture, thereby reducing the computational time and obtaining the prediction results much more quickly. The results from the experiments using data from a real fire in Galicia (Spain) confirm the benefits of using the parallel version.
Research Interests:
Abstract A new global sensitivity analysis has been conducted of fuel-type-dependent input variables of the simplified physical fire spread model (PhyFire) to understand how the use of spatial averages, that is, fuel models, influences... more
Abstract A new global sensitivity analysis has been conducted of fuel-type-dependent input variables of the simplified physical fire spread model (PhyFire) to understand how the use of spatial averages, that is, fuel models, influences the results of PhyFire with a view to enhancing its understanding and improving its design. The model’s simplicity, the numerical techniques used, and a recent code optimisation, allow undertaking the analysis with very competitive computational times. The fuel data used correspond to grasslands, shrublands and forest in the Spanish region of Galicia. The analysis results validate the flame length sub-model proposed in the paper, which significantly improves the model’s efficiency.
Research Interests:
Research Interests:
Abstract A new global sensitivity analysis has been conducted of fuel-type-dependent input variables of the simplified physical fire spread model (PhyFire) to understand how the use of spatial averages, that is, fuel models, influences... more
Abstract A new global sensitivity analysis has been conducted of fuel-type-dependent input variables of the simplified physical fire spread model (PhyFire) to understand how the use of spatial averages, that is, fuel models, influences the results of PhyFire with a view to enhancing its understanding and improving its design. The model’s simplicity, the numerical techniques used, and a recent code optimisation, allow undertaking the analysis with very competitive computational times. The fuel data used correspond to grasslands, shrublands and forest in the Spanish region of Galicia. The analysis results validate the flame length sub-model proposed in the paper, which significantly improves the model’s efficiency.
Research Interests:
Abstract A new global sensitivity analysis has been conducted of fuel-type-dependent input variables of the simplified physical fire spread model (PhyFire) to understand how the use of spatial averages, that is, fuel models, influences... more
Abstract A new global sensitivity analysis has been conducted of fuel-type-dependent input variables of the simplified physical fire spread model (PhyFire) to understand how the use of spatial averages, that is, fuel models, influences the results of PhyFire with a view to enhancing its understanding and improving its design. The model’s simplicity, the numerical techniques used, and a recent code optimisation, allow undertaking the analysis with very competitive computational times. The fuel data used correspond to grasslands, shrublands and forest in the Spanish region of Galicia. The analysis results validate the flame length sub-model proposed in the paper, which significantly improves the model’s efficiency.
Research Interests:
Research Interests:
Research Interests:
En esta Tesis se simulan numericamente procesos de comubustion en medio naturales usando las leyes de conservacion, Se presentan dos modelos simplificados destacando los factores que distinguen los incendios de otros procesos de... more
En esta Tesis se simulan numericamente procesos de comubustion en medio naturales usando las leyes de conservacion, Se presentan dos modelos simplificados destacando los factores que distinguen los incendios de otros procesos de combustion. Se demuestra la existencia y unicidad de una solucion debil del problema. Se resuelven de forma efectiva y con diferentes esquemas los problemas de reaccion difusion no lineales obtenidos. Se utiliza el Metodo de Elementos Finitos Mixtos para desacoplar la no linealidad del termino reactivo y un nuevo modelo de resolucion para la no linealidad del termino difusivo. Para incorporar el termino conectivo se utiliza el Metodo de Godunov. Ademas se realiza el analisis numerico de todos los esquemas, estimando los errores de semidiscretizacion y discretizacion total..
Research Interests: Physics and Combustion
En esta Tesis se simulan numericamente procesos de comubustion en medio naturales usando las leyes de conservacion, Se presentan dos modelos simplificados destacando los factores que distinguen los incendios de otros procesos de... more
En esta Tesis se simulan numericamente procesos de comubustion en medio naturales usando las leyes de conservacion, Se presentan dos modelos simplificados destacando los factores que distinguen los incendios de otros procesos de combustion. Se demuestra la existencia y unicidad de una solucion debil del problema. Se resuelven de forma efectiva y con diferentes esquemas los problemas de reaccion difusion no lineales obtenidos. Se utiliza el Metodo de Elementos Finitos Mixtos para desacoplar la no linealidad del termino reactivo y un nuevo modelo de resolucion para la no linealidad del termino difusivo. Para incorporar el termino conectivo se utiliza el Metodo de Godunov. Ademas se realiza el analisis numerico de todos los esquemas, estimando los errores de semidiscretizacion y discretizacion total..
Research Interests: Physics and Combustion
Research Interests:
... por Gabriel Winter Althaus, Rafael Alejandro Montenegro Armas, Gustavo Montero García, Vol. 1, 1999, ISBN 84-95286-16-5 , págs. 59-80; Recoge los contenidos presentados a: Congreso de Ecuaciones Diferenciales y Aplicaciones (16. 1999.... more
... por Gabriel Winter Althaus, Rafael Alejandro Montenegro Armas, Gustavo Montero García, Vol. 1, 1999, ISBN 84-95286-16-5 , págs. 59-80; Recoge los contenidos presentados a: Congreso de Ecuaciones Diferenciales y Aplicaciones (16. 1999. Las Palmas de Gran Canaria). ...
Research Interests:
Research Interests:
Research Interests: Mechanical Engineering, Civil Engineering, Geology, Genetic Algorithms, Finite element method, and 15 moreFinite Element, Genetic Algorithm, Parameter estimation, Adaptive Mesh Refinement, Análisis Numérico, Metereología, Optimal Control Problem, Wind Speed, Boundary Condition, Numerical Solution, Elsevier, Wind Velocity, Thermal Gradient, surface temperature, and Contaminación atmosférica
El proyecto e-MATE (Ense??anza de las Matem??tica en red) se ha llevado a cabo como un proyecto global del Departamento de Matem??tica Aplicada con el objetivo fundamental de dar respuesta a los retos que la ense??anza de las Matem??ticas... more
El proyecto e-MATE (Ense??anza de las Matem??tica en red) se ha llevado a cabo como un proyecto global del Departamento de Matem??tica Aplicada con el objetivo fundamental de dar respuesta a los retos que la ense??anza de las Matem??ticas tiene en nuestra ...
Research Interests:
Page 1. ¡£¤¥§ Rev. R. Acad. Cien. Senie A. Mat. VOL. 96 S3), 2002, pp. 299-313 MatemiaticaAplicada/AppliedMathematics Modelling of convective phenomena in forest fire M. l. Asensio, L. erragut and J. Simon Abstract. We ...
Research Interests:
Información del artículo Simulación numérica de la propagación de fuego en un bosque: un modelo simplificado.