930 resultados para 3-D finite elements


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As an initial step in establishing mechanistic relationships between environmental variability and recruitment in Atlantic cod Gadhus morhua along the coast of the western Gulf of Maine, we assessed transport success of larvae from major spawning grounds to nursery areas with particle tracking using the unstructured grid model FVCOM (finite volume coastal ocean model). In coastal areas, dispersal of early planktonic life stages of fish and invertebrate species is highly dependent on the regional dynamics and its variability, which has to be captured by our models. With state-of-the-art forcing for the year 1995, we evaluate the sensitivity of particle dispersal to the timing and location of spawning, the spatial and temporal resolution of the model, and the vertical mixing scheme. A 3 d frequency for the release of particles is necessary to capture the effect of the circulation variability into an averaged dispersal pattern of the spawning season. The analysis of sensitivity to model setup showed that a higher resolution mesh, tidal forcing, and current variability do not change the general pattern of connectivity, but do tend to increase within-site retention. Our results indicate strong downstream connectivity among spawning grounds and higher chances for successful transport from spawning areas closer to the coast. The model run for January egg release indicates 1 to 19 % within-spawning ground retention of initial particles, which may be sufficient to sustain local populations. A systematic sensitivity analysis still needs to be conducted to determine the minimum mesh and forcing resolution that adequately resolves the complex dynamics of the western Gulf of Maine. Other sources of variability, i.e. large-scale upstream forcing and the biological environment, also need to be considered in future studies of the interannual variability in transport and survival of the early life stages of cod.

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Lobsigensee is a small kettle hole lake 15 km north-west of Bern on the Swiss Plateau, at an altitude of 514 m asl. Its surface is 2ha today, its maximum depth 2.7 m; it has no inlet and the overflow functions mainly during snow melting. The area was covered by Rhone ice during the Last Glaciation (map in Fig.2). Local geology, climate and vegetation are summarized in Figure 3A-C, the history of settlement in Figures 5-7. In order to reconstruct the vegetational and environmental history of the lake and its surroundings pollen analysis and other bio- and isotope stratigraphies were applied to twelve profiles cored across the basin with modified Livingstone corers (Fig.3 D). (1) The standard diagram: The central core LQ-90 is described as the standard pollen diagram (Chapter 3) with 10 local pollen assemblage zones of the Late-Glacial (local PAZ Ll to Ll0, from about 16'000(7) to 10'000 years BP) and 20 PAZ of the Holocene (local PAZ L11 to L30), see Figs. 8-10 and 20-24. Local PAZ L 1 to L3 are in the Late-Glacial clay and record the vegetational development after the ice retreat: L1 shows very low pollen concentration and high Pinus percentages due to long-distance transport and reworking; the latter mechanism is corroborated by the findings of thermophilous and pre-Quaternary taxa. Local PAZ L2 has a high di versi ty of non-arboreal pollen (NAP) and reflects the Late-Glacial steppe rich in heliophilous species. Local PAZ L3 is similar but additionally rich in Betula nana and Sal1x, thus reflecting a "shrub tundra". The PAZ L1 to L3 belong to the Oldest Dryas biozone. Local PAZ L4 to L 10 are found in the gyttja of the profundal or in the lake marl of the littoral and record the Late-Glacial forests. L4 is the shrub phase of reforestation with very high Junlperus and rapidly increasing Betula percentages. L5 is the PAZ with a first, L7 with a second dominance of tree-birches, separated by L6 showing a depression in the Betula curve. L4 to L7 can be assigned to the Balling biozone. Possible correlation of the Betula depression to the Older Dryas biozone is discussed. In local PAZ L8 Plnus immigrates and expands. L9 shows a facies difference in that Plnus dominates over Betula in littoral but not in profundal spectra. L8 and L9 belong to the Allerod biozone. In its youngest part the volcanic ash from Laach/Eifel is regularly found (11,000 BP). The local PAZ Ll0 corresponds to the Younger Dryas blozone. The merely slight increase of the NAP indicates that the pine forests of the lowland were not strongly affected by a cooler climate. In order to evaluate the significance of the littoral accumulation of coniferous pollen the littoral profile LQ-150 is compared to the profundal. Radiocarbon stratigraphies derived from different materials are presented in Figures 13 and 14 and in Tables 2 and 3. The hard-water errors in the gyttja samples and the carbonate samples are similar. The samples of terrestrial plant macrofossils are not affected by hard-water errors. Two plateaux of constant age appear in the age-depth relationship; their consequence for biostratigraphy as well as pollen concentration and influx diagrams are discussed. Radiocarbon ages of the Late-Glacial pollen zones are shown in Table 10. The Holocene vegetational history is recorded in the local PAZ L 11 to L30. After a Preboreal (PAZ L11) dominated by pine and birch the expansions of Corylus, Ulmus and Quercus are very rapid. Among these taxa Corylus dominates dur ing the Boreal (PAZ L 12 and L 1 3), whereas the components of the mixed oak forest dominate in the Older Atlantic (PAZ L14 to L16). In the Younger Atlantic (PAZ L 17 to L 19) Fagus and Alnus play an increasing, the mixed oak forest a decreasing role. During the period of local PAZ L19 Neolithic settlers lived on the shore of Lobsigensee. During the Subboreal (PAZ L20 and L21) and the Older Subatlantic (L22 to L25) strong fluctuations of Fagus and often antagonistic peaks of NAP, Alnus, Betula and Corylus can be interpreted as signs of human impact on vegetation. L23 is characterized not only by high values of NAP (especially apophytes and anthropochorous species) but also by the appearance of Juglans, Castanea and Secale which point to the Roman colonization of the area. For a certain period during the Younger Subatlantic (PAZ L26 to L30) the lake was used for retting hemp (Cannabis). Later the dominance of Quercus pollen indicates the importance of wood pastures. The youngest sediments reflect the wide-spread agricultural grass lands and the plantation of Pinus and Picea. Radiocarbon dates for the Holocene are given in Figure 23 and Table 4, the extrapolated ages of the Holocene pollen zones in Table 15. (2) The cross sections: Figures 25 and 26 give a summary of the litho- and palynostratigraphy of the two cross sections. Based on 11 Late-Glacial and 9 Holocene pollen diagrams (in addition to the standard ones), the consistency of the criteria for the definition of the pollen zones is examined in Tables 7 and 8 for the Late-Glacial and in Tables 11 to 14 for the Holocene. Sediment thicknesses across the basin for each pollen zone are presented in these tables as well as in Figures 43 to 45 for the Late-Glacial and in Figures 59 to 65 for the Holocene. Sediment focusing can explain differences between the gyttja cores of the profundal. Focusing is more than compensated for through "stretching" by carbonate precipitation on the littoral terrace. Pollen influx to the cross section are discussed (Chapters 4.1.5. and 4.2.3.). (3) The regional pollen zones: Based on some selected sites between Lake Geneva and Lake Constance regional pollen zones are proposed (Table 16, 17 and 19). (4) Paleoecology: Climatic change in the Late-Glacial can be inferred from Coleoptera, Trichoptera, Chironomidae and d18O of carbonates: a distinct warming is recorded around 12' 600 BP and around 10' 000 BP. The Younger Dryas biozone (10'700-10'000 BP) was the only cooling found in the Late-Glacial. The Betula depression often correlated wi th the Older Dryas biozone was possibl not colder but dryer than the previous period. During the Holocene the lowland site is not very sensitive to the minor climatic changes. Table 22 summarizes climatic and trophic changes before 8'000 BP as deduced from various biostratigraphies studied by a number of authors. Ostracods, Chironomids and fossil pigments indicate that anoxic conditions prevailed during the BoIling (possibly meromixis). Changes in the lake level are illustrated in Figure 74. A first lake-level lowering occurred in the early Holocene (10'000 to 9'000 BP), a second during the Atlantic (about 6'800 to 5'200 BP). The first "shrinking" of the lake volume resulted in a eutrophication recorded by laminations in the profundal and by pigments of Cyanophyceae. The second fall in water level corresponds to an increase of Nymphaeaceae. Human impact can be inferred in three ways: eutrophication of the lake (since the Neolithic), changes of terrestrial vegetation by deforestations (cyclicity of Fagus, see Figures 78 to 80), and enhanced erosion (increasing sedimentation rates by inwashed clay, particularly since the Roman Colonization, see Figures 49 and 81). Summary: This paper was planned as the final report on Lobsigensee. However, a number of issues are not answered but can only be asked more precisely, for example: (1) For the two periods with the highest rates of change, Le. the Bolling and the Preboreal biozones, pollen influx may reflect vegetation dynamics. Detailed investigations of these periods in annually laminated sediments are planned. (2) Biostratigraphies other than palynostratigraphy are needed to estimate the degree of linkage or independence in the development of terrestrial and lacustrine ecosystems. Often our sampling intervals were not identical, thus influencing our temporal resolution. (3) 6180- and 14C-stratigraPhies with high resolution will elucidate the leads and lags of these dynamic periods. Plateaux of constant age in the age-depth relationship have a strong bearing on both biological and geophysical understanding of Late-Glacial and early Holocene developments. (4) Numerical methods applied to the pollen diagrams of the cross section will help to quantify the significance of similari ties and dissimilarities across a single basin (with Prof. Birks). (5) Numerical methods applied to different sites on the Swiss Plateau and on the transect across the Alps will be helpful in evaluating the influence of different environmental factors (with Prof. Birks). (6) A new map 1: 1000 with 50cm-contour lines prov ided by Prof. Zurbuchen will be combined with a grid of cores sampling the transition from lake marl to peat enabling us to calculate paleo-volumes of the lake. This is interesting for the two "shrinking periods" (in Fig. 74A numbers 2-6 and 7-10), both accompanied by eutrophication. The pal eo-volume during the Neoli thic set tlement of the Cortaillod culture linked wi th an est l.mate of trophic change derived from diatoms (Prof. Smol in prep.) could possibly give an indication of the size of the human population of this period. (7) For the period with the antagonism between Fagus peaks and ABC-peaks close collaboration between palynologists, geochemists and archeologists should enable us to determine the influence of prehistoric and historic people on vegetation (collaboration with Prof. Stockli and Prof. Herzig). (8) The core LL-75 taken with a "cold letter box" will be analysed for major and trace elements by Dr. Sturm for 210pb and 137Cs by Prof.von Gunten and for pollen. We will see if our local PAZ L30 really corresponds to the surface sediment and if the small seepage lake reflects modern pollution.

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This study focuses on the effectiveness of resilient wheels in reducing railway noise and vibrations, and compares the effectiveness of three types of wheels. The finite elements method has been used to characterise the vibratory behaviour of these wheels. The model has been excited with a realistic spectrum of vertical track irregularities, and a spectral analysis has been carried out. Results have been post-processed in order to estimate the sound power emitted. These calculations have been used to assess the effectiveness of the resilient wheel designs in reducing noise emitted to the environment and in propagating structural vibrations.

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SUMMARY Concentration Photovoltaic Systems (CPV) have been proposed as an alternative to conventional systems. During the last years, there has been a boom of the CPV industry caused by the technological progress in all the elements of the system. and mainly caused by the use of multijunction solar cells based on III-V semiconductors, with efficiencies exceeding to 43%. III-V solar cells have been used with high reliability results in a great number of space missions without concentration. However, there are no previous results regarding their reliability in concentration terrestrial applications, where the working conditions are completely different. This lack of experience, together with the important industrial interest, has generated the need to evaluate the reliability of the cells. For this reason, nowadays there are several research centers around the undertaking this task. The evaluation of the reliability of this type of devices by means of accelerated tests is especially problematic when they work at medium or high concentration, because it is practically impossible to emulate real working conditions of the cell inside climatic chambers. In fact, as far as we know, the results that appear in this Thesis are the first estimating the Activation Energy of the failure mechanism involved, as well as the warranty of the III-V concentrator solar cells tested here. To evaluate the reliability of III-V very high concentrator solar cells by means of accelerated tests, a variety of activities, described in this Thesis have been carried out. The First Part of the memory presents the theoretical part of the Doctoral Thesis. After the Introduction, chapter 2 presents the state of the art in degradation and reliability of CPV systems and solar cells. Chapter 3 introduces some reliability definitions and the application of specific statistical functions to the evaluation of the reliability and parameters. From these functions, important parameters will be calculated to be used later in the experimental results of Thesis. The Second Part of the memory contains the experimental. Chapter 4 shows the types of accelerated tests and the main goals pursuit with them when carried out over CPV systems and solar cells. In order to evaluate quantitatively the reliability of the III-V concentrator solar cells used in these tests, some modifications have been introduced which discussion will be tackled here. Based on this analysis the working plan of the tests carried out in this Doctoral Thesis is presented. Chapter 5 presents a new methodology as well as the necessary instrumentation to carry out the tests described here. This new methodology takes into account the adaptation, improvement and novel techniques needed to test concentrator solar cells. The core of this memory is chapter 6, which presents the results of the characterization of the cells during the accelerated life tests and the analysis of the aforementioned results with the purpose of getting quantitative values of reliability in real working conditions. The acceleration factor of the accelerated life tests, under nominal working conditions has been calculated. Accordingly, the validity of the methodology as well as the calculations based on the reliability assessment, have also been demonstrated. Finally, quantitative values of degradation, reliability and warranty of the solar cells under field nominal working conditions have been calculated. With the development of this Doctoral Thesis the reliability of very high concentrator GaAs solar cells of small area has been evaluated. It is very interesting to generalize the procedures described up to this point to III-V multijunction solar cells of greater area. Therefore, chapter 7 develops this generalization and introduces also a useful thermal modeling by means of finite elements of the test cells’ circuits. In the last chapter, the summary of the results and the main contributions of this Thesis are outlined and future research activities are identified. RESUMEN Los Sistemas Fotovoltaicos de Concentración (SFC) han sido propuestos como una alternativa a los sistemas convencionales de generación de energía. Durante los últimos años ha habido un auge de los SFC debido a las mejoras tecnológicas en todos los elementos del sistema, y principalmente por el uso de células multiunión III-V que superan el 43% de rendimiento. Las células solares III-V han sido utilizadas con elevada fiabilidad en aplicaciones espaciales sin concentración, pero no existe experiencia de su fiabilidad en ambiente terrestre a altos niveles de concentración solar. Esta falta de experiencia junto al gran interés industrial ha generado la necesidad de evaluar la fiabilidad de las células, y actualmente hay un significativo número de centros de investigación trabajando en esta área. La evaluación de la fiabilidad de este tipo de dispositivos mediante ensayos acelerados es especialmente problemática cuando trabajan a media o alta concentración por la casi imposibilidad de emular las condiciones de trabajo reales de la célula dentro de cámaras climáticas. De hecho, que sepamos, en los resultados de esta Tesis se evalúa por primera vez la Energía de Activación del mecanismo de fallo de las células, así como la garantía en campo de las células de concentración III-V analizadas. Para evaluar la fiabilidad de células solares III-V de muy alta concentración mediante ensayos de vida acelerada se han realizado diversas actividades que han sido descritas en la memoria de la Tesis. En la Primera Parte de la memoria se presenta la parte teórica de la Tesis Doctoral. Tras la Introducción, en el capítulo 2 se muestra el estado del arte en degradación y fiabilidad de células y Sistemas Fotovoltaicos de Concentración. En el capítulo 3 se exponen de forma resumida las definiciones de fiabilidad y funciones estadísticas que se utilizan para la evaluación de la fiabilidad y sus parámetros, las cuales se emplearán posteriormente en los ensayos descritos en este Tesis. La Segunda Parte de la memoria es experimental. En el capítulo 4 se describen los tipos y objetivos de los ensayos acelerados actualmente aplicados a SFC y a las células, así como las modificaciones necesarias que permitan evaluar cuantitativamente la fiabilidad de las células solares de concentración III-V. En base a este análisis se presenta la planificación de los trabajos realizados en esta Tesis Doctoral. A partir de esta planificación y debido a la necesidad de adaptar, mejorar e innovar las técnicas de ensayos de vida acelerada para una adecuada aplicación a este tipo de dispositivos, en el capítulo 5 se muestra la metodología empleada y la instrumentación necesaria para realizar los ensayos de esta Tesis Doctoral. El núcleo de la memoria es el capítulo 6, en él se presentan los resultados de caracterización de las células durante los ensayos de vida acelerada y el análisis de dichos resultados con el objetivo de obtener valores cuantitativos de fiabilidad en condiciones reales de trabajo. Se calcula el Factor de Aceleración de los ensayos acelerados con respecto a las condiciones nominales de funcionamiento a partir de la Energía de Activación obtenida, y se demuestra la validez de la metodología y cálculos empleados, que son la base de la evaluación de la fiabilidad. Finalmente se calculan valores cuantitativos de degradación, fiabilidad y garantía de las células en condiciones nominales en campo durante toda la vida de la célula. Con el desarrollo de esta Tesis Doctoral se ha evaluado la fiabilidad de células III-V de área pequeña, pero es muy interesante generalizar los procedimientos aquí desarrollados para las células III-V comerciales de área grande. Por este motivo, en el capítulo 7 se analiza dicha generalización, incluyendo el modelado térmico mediante elementos finitos de los circuitos de ensayo de las células. En el último capítulo se realiza un resume del trabajo y las aportaciones realizadas, y se identifican las líneas de trabajo a emprender en el futuro.

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Publicamos la tercera parte y última de este artículo sobre estructuras de hormigón armado bajo carga dinámica severa en el que, los autores, nos han ido exponiendo diferentes ejemplos. En esta ocasión, se pone patente que con el desarrollo de los ordenadores durante las últimas décadas se ha dado la posibilidad de utilizar el método de los elementos finitos (FEM: Finite Elements Method) para estudiar los efectos de una carga dinámica severa, como en el caso de las explosiones. A continuación se describe el uso del método para este tipo de situaciones de carga.

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En las últimas décadas el aumento de la velocidad y la disminución del peso de los vehículos ferroviarios de alta velocidad ha provocado que aumente su riesgo de vuelco. Además, las exigencias de los trazados de las líneas exige en ocasiones la construcción de viaductos muy altos situados en zonas expuestas a fuertes vientos. Esta combinación puede poner en peligro la seguridad de la circulación. En esta tesis doctoral se estudian los efectos dinámicos que aparecen en los vehículos ferroviarios cuando circulan sobre viaductos en presencia de vientos transversales. Para ello se han desarrollado e implementado una serie de modelos numéricos que permiten estudiar estos efectos de una forma realista y general. Los modelos desarrollados permiten analizar la interacción dinámica tridimensional tren-estructura, formulada mediante coordenadas absolutas en un sistema de referencia inercial, en un contexto de elementos _nitos no lineales. Mediante estos modelos se pueden estudiar de forma realista casos extremos como el vuelco o descarrilamiento de los vehículos. Han sido implementados en Abaqus, utilizando sus capacidades para resolver sistemas multi-cuerpo para el vehículo y elementos finitos para la estructura. La interacción entre el vehículo y la estructura se establece a través del contacto entre rueda y carril. Para ello, se han desarrollado una restricción, que permite establecer la relación cinemática entre el eje ferroviario y la vía, teniendo en cuenta los posibles defectos geométricos de la vía; y un modelo de contacto rueda-carril para establecer la interacción entre el vehículo y la estructura. Las principales características del modelo de contacto son: considera la geometría real de ambos cuerpos de forma tridimensional; permite resolver situaciones en las que el contacto entre rueda y carril se da en más de una zona a la vez; y permite utilizar distintas formulaciones para el cálculo de la tensión tangencial entre ambos cuerpos. Además, se ha desarrollado una metodología para determinar, a partir de formulaciones estocásticas, las historias temporales de cargas aerodinámicas debidas al viento turbulento en estructuras grandes y con pilas altas y flexibles. Esta metodología tiene cuenta la variabilidad espacial de la velocidad de viento, considerando la correlación entre los distintos puntos; considera las componentes de la velocidad del viento en tres dimensiones; y permite el cálculo de la velocidad de viento incidente sobre los vehículos que atraviesan la estructura. La metodología desarrollada en este trabajo ha sido implementada, validada y se ha aplicado a un caso concreto en el que se ha estudiado la respuesta de un tren de alta velocidad, similar al Siemens Velaro, circulando sobre el viaducto del río Ulla en presencia viento cruzado. En este estudio se ha analizado la seguridad y el confort de la circulación y la respuesta dinámica de la estructura cuando el tren cruza el viaducto. During the last decades the increase of the speed and the reduction of the weight of high-speed railway vehicles has led to a rise of the overturn risk. In addition, the design requests of the railway lines require some times the construction of very tall viaducts in strong wind areas. This combination may endanger the traffic safety. In this doctoral thesis the dynamic effects that appear in the railway vehicles when crossing viaducts under strong winds are studied. For this purpose it has been developed and implemented numerical models for studying these effects in a realistic and general way. The developed models allow to analyze the train-structure three-dimensional dynamic interaction, that is formulated by using absolute coordinates in an inertial reference frame within a non-linear finite element framework. By means of these models it is possible to study in a realistic way extreme situations such vehicle overturn or derailment. They have been implemented for Abaqus, by using its capabilities for solving multi-body systems for the vehicle and finite elements for the structure. The interaction between the vehicle and the structure is established through the wheel-rail contact. For this purpose, a constraint has been developed. It allows to establish the kinematic relationship between the railway wheelset and the track, taking into account the track irregularities. In addition, a wheel-rail contact model for establishing the interaction of the vehicle and the structure has been developed. The main features of the contact model are: it considers the real geometry During the last decades the increase of the speed and the reduction of the weight of high-peed railway vehicles has led to a rise of the overturn risk. In addition, the design requests of the railway lines require some times the construction of very tall viaducts in strong wind areas. This combination may endanger the traffic safety. In this doctoral thesis the dynamic effects that appear in the railway vehicles when crossing viaducts under strong winds are studied. For this purpose it has been developed and implemented numerical models for studying these effects in a realistic and general way. The developed models allow to analyze the train-structure three-dimensional dynamic interaction, that is formulated by using absolute coordinates in an inertial reference frame within a non-linear finite element framework. By means of these models it is possible to study in a realistic way extreme situations such vehicle overturn or derailment. They have been implemented for Abaqus, by using its capabilities for solving multi-body systems for the vehicle and finite elements for the structure. The interaction between the vehicle and the structure is established through the wheel-rail contact. For this purpose, a constraint has been developed. It allows to establish the kinematic relationship between the railway wheelset and the track, taking into account the track irregularities. In addition, a wheel-rail contact model for establishing the interaction of the vehicle and the structure has been developed. The main features of the contact model are: it considers the real geometry

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This article describes the simulation and characterization of an ultrasonic transducer using a new material called Rexolite to be used as a matching element. This transducer was simulated using a commercial piezoelectric ceramic PIC255 at 8 MHz. Rexolite, the new material, presents an excellent acoustic matching, specially in terms of the acoustic impedance of water. Finite elements simulations were used in this work. Rexolite was considered as a suitable material in the construction of the transducer due to its malleability and acoustic properties, to validate the simulations a prototype transducer was constructed. Experimental measurements were used to determine the resonance frequency of the prototype transducer. Simulated and experimental results were very similar showing that Rexolite may be an excellent matching, particularly for medical applications.

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En el presente proyecto se estudiará la conveniencia de utilizar simulación numérica para evaluar, diseñar y mejorar el diseño de instalaciones geotérmicas planas. Para ello, se modelizará el conjunto de terreno y sistema geotérmico mediante el acoplamiento de un modelo tridimensional (terreno) y un modelo unidimensional, formado por la red de tubería geotérmica, que estará dispuesta en un plano cuya orientación dependerá de las aplicaciones. Para la simulación numérica se utilizará un software de análisis y resolución por elementos finitos tipo comercial. Finalmente, se definirán unos parámetros geométricos de diseño y, teniendo en cuenta las propiedades térmicas de cada material, se realizarán estudios paramétricos para determinar la influencia de cada grupo de parámetros. Ello requerirá la realización de cientos de simulaciones numéricas que permitirán optimizar el rendimiento de sistemas geotérmicos planos tanto horizontales (soleras), como verticales (muros pantalla). ABSTRACT In this project it is going to be studied the convenience of numerical simulation as to evaluate, design and improve the design of geothermal planar installations. With this purpose, the terrain and the geothermal system will be modeled by coupling a three-dimensional model (terrain) and a one-dimensional model formed by the geothermal piping network disposed in a plane with an orientation which will depend on the applications. For the numerical simulation commercial software of analyzing and resolving by finite elements will be used. Finally, geometric design parameters will be defined, and taking into account the thermal properties of each material, parametric studies will be performed to determine the influence of each group of parameters. This will require the completion of hundreds of numerical simulations which will enhance the performance of both horizontal (slabs) and vertical (diaphragm walls) geothermal systems.

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Como en todos los medios de transporte, la seguridad en los viajes en avión es de primordial importancia. Con los aumentos de tráfico aéreo previstos en Europa para la próxima década, es evidente que el riesgo de accidentes necesita ser evaluado y monitorizado cuidadosamente de forma continúa. La Tesis presente tiene como objetivo el desarrollo de un modelo de riesgo de colisión exhaustivo como método para evaluar el nivel de seguridad en ruta del espacio aéreo europeo, considerando todos los factores de influencia. La mayor limitación en el desarrollo de metodologías y herramientas de monitorización adecuadas para evaluar el nivel de seguridad en espacios de ruta europeos, donde los controladores aéreos monitorizan el tráfico aéreo mediante la vigilancia radar y proporcionan instrucciones tácticas a las aeronaves, reside en la estimación del riesgo operacional. Hoy en día, la estimación del riesgo operacional está basada normalmente en reportes de incidentes proporcionados por el proveedor de servicios de navegación aérea (ANSP). Esta Tesis propone un nuevo e innovador enfoque para evaluar el nivel de seguridad basado exclusivamente en el procesamiento y análisis trazas radar. La metodología propuesta ha sido diseñada para complementar la información recogida en las bases de datos de accidentes e incidentes, mediante la provisión de información robusta de los factores de tráfico aéreo y métricas de seguridad inferidas del análisis automático en profundidad de todos los eventos de proximidad. La metodología 3-D CRM se ha implementado en un prototipo desarrollado en MATLAB © para analizar automáticamente las trazas radar y planes de vuelo registrados por los Sistemas de Procesamiento de Datos Radar (RDP) e identificar y analizar todos los eventos de proximidad (conflictos, conflictos potenciales y colisiones potenciales) en un periodo de tiempo y volumen del espacio aéreo. Actualmente, el prototipo 3-D CRM está siendo adaptado e integrado en la herramienta de monitorización de prestaciones de Aena (PERSEO) para complementar las bases de accidentes e incidentes ATM y mejorar la monitorización y proporcionar evidencias de los niveles de seguridad. ABSTRACT As with all forms of transport, the safety of air travel is of paramount importance. With the projected increases in European air traffic in the next decade and beyond, it is clear that the risk of accidents needs to be assessed and carefully monitored on a continuing basis. The present thesis is aimed at the development of a comprehensive collision risk model as a method of assessing the European en-route risk, due to all causes and across all dimensions within the airspace. The major constraint in developing appropriate monitoring methodologies and tools to assess the level of safety in en-route airspaces where controllers monitor air traffic by means of radar surveillance and provide aircraft with tactical instructions lies in the estimation of the operational risk. The operational risk estimate normally relies on incident reports provided by the air navigation service providers (ANSPs). This thesis proposes a new and innovative approach to assessing aircraft safety level based exclusively upon the process and analysis of radar tracks. The proposed methodology has been designed to complement the information collected in the accident and incident databases, thereby providing robust information on air traffic factors and safety metrics inferred from the in depth assessment of proximate events. The 3-D CRM methodology is implemented in a prototype tool in MATLAB © in order to automatically analyze recorded aircraft tracks and flight plan data from the Radar Data Processing systems (RDP) and identify and analyze all proximate events (conflicts, potential conflicts and potential collisions) within a time span and a given volume of airspace. Currently, the 3D-CRM prototype is been adapted and integrated in AENA’S Performance Monitoring Tool (PERSEO) to complement the information provided by the ATM accident and incident databases and to enhance monitoring and providing evidence of levels of safety.

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El objetivo de esta Tesis ha sido la consecución de simulaciones en tiempo real de vehículos industriales modelizados como sistemas multicuerpo complejos formados por sólidos rígidos. Para el desarrollo de un programa de simulación deben considerarse cuatro aspectos fundamentales: la modelización del sistema multicuerpo (tipos de coordenadas, pares ideales o impuestos mediante fuerzas), la formulación a utilizar para plantear las ecuaciones diferenciales del movimiento (coordenadas dependientes o independientes, métodos globales o topológicos, forma de imponer las ecuaciones de restricción), el método de integración numérica para resolver estas ecuaciones en el tiempo (integradores explícitos o implícitos) y finalmente los detalles de la implementación realizada (lenguaje de programación, librerías matemáticas, técnicas de paralelización). Estas cuatro etapas están interrelacionadas entre sí y todas han formado parte de este trabajo. Desde la generación de modelos de una furgoneta y de camión con semirremolque, el uso de tres formulaciones dinámicas diferentes, la integración de las ecuaciones diferenciales del movimiento mediante métodos explícitos e implícitos, hasta el uso de funciones BLAS, de técnicas de matrices sparse y la introducción de paralelización para utilizar los distintos núcleos del procesador. El trabajo presentado en esta Tesis ha sido organizado en 8 capítulos, dedicándose el primero de ellos a la Introducción. En el Capítulo 2 se presentan dos formulaciones semirrecursivas diferentes, de las cuales la primera está basada en una doble transformación de velocidades, obteniéndose las ecuaciones diferenciales del movimiento en función de las aceleraciones relativas independientes. La integración numérica de estas ecuaciones se ha realizado con el método de Runge-Kutta explícito de cuarto orden. La segunda formulación está basada en coordenadas relativas dependientes, imponiendo las restricciones por medio de penalizadores en posición y corrigiendo las velocidades y aceleraciones mediante métodos de proyección. En este segundo caso la integración de las ecuaciones del movimiento se ha llevado a cabo mediante el integrador implícito HHT (Hilber, Hughes and Taylor), perteneciente a la familia de integradores estructurales de Newmark. En el Capítulo 3 se introduce la tercera formulación utilizada en esta Tesis. En este caso las uniones entre los sólidos del sistema se ha realizado mediante uniones flexibles, lo que obliga a imponer los pares por medio de fuerzas. Este tipo de uniones impide trabajar con coordenadas relativas, por lo que la posición del sistema y el planteamiento de las ecuaciones del movimiento se ha realizado utilizando coordenadas Cartesianas y parámetros de Euler. En esta formulación global se introducen las restricciones mediante fuerzas (con un planteamiento similar al de los penalizadores) y la estabilización del proceso de integración numérica se realiza también mediante proyecciones de velocidades y aceleraciones. En el Capítulo 4 se presenta una revisión de las principales herramientas y estrategias utilizadas para aumentar la eficiencia de las implementaciones de los distintos algoritmos. En primer lugar se incluye una serie de consideraciones básicas para aumentar la eficiencia numérica de las implementaciones. A continuación se mencionan las principales características de los analizadores de códigos utilizados y también las librerías matemáticas utilizadas para resolver los problemas de álgebra lineal tanto con matrices densas como sparse. Por último se desarrolla con un cierto detalle el tema de la paralelización en los actuales procesadores de varios núcleos, describiendo para ello el patrón empleado y las características más importantes de las dos herramientas propuestas, OpenMP y las TBB de Intel. Hay que señalar que las características de los sistemas multicuerpo problemas de pequeño tamaño, frecuente uso de la recursividad, y repetición intensiva en el tiempo de los cálculos con fuerte dependencia de los resultados anteriores dificultan extraordinariamente el uso de técnicas de paralelización frente a otras áreas de la mecánica computacional, tales como por ejemplo el cálculo por elementos finitos. Basándose en los conceptos mencionados en el Capítulo 4, el Capítulo 5 está dividido en tres secciones, una para cada formulación propuesta en esta Tesis. En cada una de estas secciones se describen los detalles de cómo se han realizado las distintas implementaciones propuestas para cada algoritmo y qué herramientas se han utilizado para ello. En la primera sección se muestra el uso de librerías numéricas para matrices densas y sparse en la formulación topológica semirrecursiva basada en la doble transformación de velocidades. En la segunda se describe la utilización de paralelización mediante OpenMP y TBB en la formulación semirrecursiva con penalizadores y proyecciones. Por último, se describe el uso de técnicas de matrices sparse y paralelización en la formulación global con uniones flexibles y parámetros de Euler. El Capítulo 6 describe los resultados alcanzados mediante las formulaciones e implementaciones descritas previamente. Este capítulo comienza con una descripción de la modelización y topología de los dos vehículos estudiados. El primer modelo es un vehículo de dos ejes del tipo chasis-cabina o furgoneta, perteneciente a la gama de vehículos de carga medianos. El segundo es un vehículo de cinco ejes que responde al modelo de un camión o cabina con semirremolque, perteneciente a la categoría de vehículos industriales pesados. En este capítulo además se realiza un estudio comparativo entre las simulaciones de estos vehículos con cada una de las formulaciones utilizadas y se presentan de modo cuantitativo los efectos de las mejoras alcanzadas con las distintas estrategias propuestas en esta Tesis. Con objeto de extraer conclusiones más fácilmente y para evaluar de un modo más objetivo las mejoras introducidas en la Tesis, todos los resultados de este capítulo se han obtenido con el mismo computador, que era el top de la gama Intel Xeon en 2007, pero que hoy día está ya algo obsoleto. Por último los Capítulos 7 y 8 están dedicados a las conclusiones finales y las futuras líneas de investigación que pueden derivar del trabajo realizado en esta Tesis. Los objetivos de realizar simulaciones en tiempo real de vehículos industriales de gran complejidad han sido alcanzados con varias de las formulaciones e implementaciones desarrolladas. ABSTRACT The objective of this Dissertation has been the achievement of real time simulations of industrial vehicles modeled as complex multibody systems made up by rigid bodies. For the development of a simulation program, four main aspects must be considered: the modeling of the multibody system (types of coordinates, ideal joints or imposed by means of forces), the formulation to be used to set the differential equations of motion (dependent or independent coordinates, global or topological methods, ways to impose constraints equations), the method of numerical integration to solve these equations in time (explicit or implicit integrators) and the details of the implementation carried out (programming language, mathematical libraries, parallelization techniques). These four stages are interrelated and all of them are part of this work. They involve the generation of models for a van and a semitrailer truck, the use of three different dynamic formulations, the integration of differential equations of motion through explicit and implicit methods, the use of BLAS functions and sparse matrix techniques, and the introduction of parallelization to use the different processor cores. The work presented in this Dissertation has been structured in eight chapters, the first of them being the Introduction. In Chapter 2, two different semi-recursive formulations are shown, of which the first one is based on a double velocity transformation, thus getting the differential equations of motion as a function of the independent relative accelerations. The numerical integration of these equations has been made with the Runge-Kutta explicit method of fourth order. The second formulation is based on dependent relative coordinates, imposing the constraints by means of position penalty coefficients and correcting the velocities and accelerations by projection methods. In this second case, the integration of the motion equations has been carried out by means of the HHT implicit integrator (Hilber, Hughes and Taylor), which belongs to the Newmark structural integrators family. In Chapter 3, the third formulation used in this Dissertation is presented. In this case, the joints between the bodies of the system have been considered as flexible joints, with forces used to impose the joint conditions. This kind of union hinders to work with relative coordinates, so the position of the system bodies and the setting of the equations of motion have been carried out using Cartesian coordinates and Euler parameters. In this global formulation, constraints are introduced through forces (with a similar approach to the penalty coefficients) are presented. The stabilization of the numerical integration is carried out also by velocity and accelerations projections. In Chapter 4, a revision of the main computer tools and strategies used to increase the efficiency of the implementations of the algorithms is presented. First of all, some basic considerations to increase the numerical efficiency of the implementations are included. Then the main characteristics of the code’ analyzers used and also the mathematical libraries used to solve linear algebra problems (both with dense and sparse matrices) are mentioned. Finally, the topic of parallelization in current multicore processors is developed thoroughly. For that, the pattern used and the most important characteristics of the tools proposed, OpenMP and Intel TBB, are described. It needs to be highlighted that the characteristics of multibody systems small size problems, frequent recursion use and intensive repetition along the time of the calculation with high dependencies of the previous results complicate extraordinarily the use of parallelization techniques against other computational mechanics areas, as the finite elements computation. Based on the concepts mentioned in Chapter 4, Chapter 5 is divided into three sections, one for each formulation proposed in this Dissertation. In each one of these sections, the details of how these different proposed implementations have been made for each algorithm and which tools have been used are described. In the first section, it is shown the use of numerical libraries for dense and sparse matrices in the semirecursive topological formulation based in the double velocity transformation. In the second one, the use of parallelization by means OpenMP and TBB is depicted in the semi-recursive formulation with penalization and projections. Lastly, the use of sparse matrices and parallelization techniques is described in the global formulation with flexible joints and Euler parameters. Chapter 6 depicts the achieved results through the formulations and implementations previously described. This chapter starts with a description of the modeling and topology of the two vehicles studied. The first model is a two-axle chassis-cabin or van like vehicle, which belongs to the range of medium charge vehicles. The second one is a five-axle vehicle belonging to the truck or cabin semi-trailer model, belonging to the heavy industrial vehicles category. In this chapter, a comparative study is done between the simulations of these vehicles with each one of the formulations used and the improvements achieved are presented in a quantitative way with the different strategies proposed in this Dissertation. With the aim of deducing the conclusions more easily and to evaluate in a more objective way the improvements introduced in the Dissertation, all the results of this chapter have been obtained with the same computer, which was the top one among the Intel Xeon range in 2007, but which is rather obsolete today. Finally, Chapters 7 and 8 are dedicated to the final conclusions and the future research projects that can be derived from the work presented in this Dissertation. The objectives of doing real time simulations in high complex industrial vehicles have been achieved with the formulations and implementations developed.

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This paper refers to the numerical solution of the classical Darcy's problem of plane fluid through isotropic media. Regarding the numerical procedure,the Laplace equation, is a classical one in mathematical physics and several procedures have been devised in order to solve it. So as to show the capability of the method, the paper presents some exemples.

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Many advantages can be got in combining finite and boundary elements.It is the case, for example, of unbounded field problems where boundary elements can provide the appropriate conditions to represent the infinite domain while finite elements are suitable for more complex properties in the near domain. However, in spite of it, other disadvantages can appear. It would be, for instance, the loss of symmetry in the finite elements stiffness matrix, when the combination is made. On the other hand, in our days, with the strong irruption of the parallel proccessing the techniques of decomposition of domains are getting the interest of numerous scientists. With their application it is possible to separate the resolution of a problem into several subproblems. That would be beneficial in the combinations BEM-FEM as the loss of symmetry would be avoided and every technique would be applicated separately. Evidently for the correct application of these techniques it is necessary to establish the suitable transmission conditions in the interface between BEM domain and FEM domain. In this paper, one parallel method is presented which is based in the interface operator of Steklov Poincarè.

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The pressuremeter test in boreholes has proven itself as a useful tool in geotechnical explorations, especially comparing its results with those obtained from a mathematical model ruled by a soil representative constitutive equation. The numerical model shown in this paper is aimed to be the reference framework for the interpretation of this test. The model analyses variables such as: the type of response, the initial state, the drainage regime and the constitutive equations. It is a model of finite elements able to work with a mesh without deformation or one adapted to it.

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Entre la impresionante floración de procedimientos de cálculo, provocada por la aplicación intensiva del ordenador, el llamado Método de los Elementos de Contorno (Boundary Element Method o Boundary Integral Equation Method) parece afianzarse como una alternativa útil al omnipresente Método de los Elementos Finitos que ya ha sido incorporado, como una herramienta de trabajo más, al cotidiano quehacer de la ingeniería. En España, tras unos intentos precursores que se señalan en el texto, la actividad más acusada en su desarrollo y mejora se ha centrado alrededor del Departamento que dirige uno de los autores. Después de la tesis doctoral de J. Domínguez en 1977 que introdujo en España la técnica del llamado "método directo", se han producido numerosas aportaciones en forma de artículos o tesis de investigación que han permitido alcanzar un nivel de conocimientos notable. En esta obrita se pretende transmitir parte de la experiencia adquirida, siquiera sea a nivel elemental y en un campo limitado de aplicación. La filosofía es semejante a la del pequeño libro de Hinton y Owen "A simple guide to finite elements" (Pineridge Press, 1980) que tanta aceptación ha tenido entre los principiantes. El libro se articula alrededor de un sólo tema, la solución del problema de Laplace, y se limitan los desarrollos matemáticos al mínimo imprescindible para el fácil seguimiento de áquel. Tras unos capítulos iniciales de motivación y centrado se desarrolla la técnica para problemas planos, tridimensionales y axisimétricos, limitando los razonamientos a los elementos más sencillos de variación constante o lineal. Finalmente, se incluye un capítulo descriptivo donde se avizoran temas que pueden provocar un futuro interés del estudioso. Para completar la información se ha añadido un apéndice en el que se recoge un pequeño programa para microordenador, con el objetivo de que se contemple la sencillez de programación para el caso plano. El programa es mejorable en muchos aspectos pero creemos que, con ello, mantiene un nivel de legibilidad adecuado para que el lector ensaye sobre él las modificaciones que se indican en los ejercicios al final del capítulo y justamente la provocación de ese aprendizaje es nuestro objetivo final.

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Cracking of reinforced concrete can occur in certain environments due to rebar corrosion. The oxide layer growing around the bars introduces a pressure which may be enough to lead to the fracture of concrete. To study such an effect, the results of accelerated corrosion tests and finite ele- ment simulations are combined in this work. In previous works, a numerical model for the expansive layer, called expansive joint element , was programmed by the authors to reproduce the effect of the oxide over the concrete. In that model, the expansion of the oxide layer in stress free conditions is simulated as an uniform expansion perpendicular to the steel surface. The cracking of concrete is simulated by means of finite elements with an embedded adaptable cohesive crack that follow the standard cohesive model. In the present work, further accelerated tests with imposed constant cur- rent have been carried out on the same type of specimens tested in previous works (with an embedded steel tube), while measuring, among other things, the main-crack mouth opening. Then, the tests have been numerically simulated using the expansive joint element and the tube as the corroding electrode (rather than a bar). As a result of the comparison of numerical and experimental results, both for the crack mouth opening and the crack pattern, new insight is gained into the behavior of the oxide layer. In particular, quantitative assessment of the oxide expansion relation is deduced from the ex- periments, and a narrower interval for the shear stiffness of the oxide layer is obtained, which could not be achieved using bars as the corroding element, because in that case the numerical results were insensitive to the shear stiffness of the oxide layer within many orders of magnitude