929 resultados para non-uniform scale perturbation finite difference scheme


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Since the epoch-making "memoir" of Saint-Venant in 1855 the torsion of prismatic and cilindrical bars has reduced to a mathematical problem: the calculation of an analytical function satisfying prescribed boundary values. For over one century, till the first applications of the F.E.M. to the problem, the only possibility of study in irregularly shaped domains was the beatiful, but limitated, theory of complex function analysis, several functional approaches and the finite difference method. Nevertheless in 1963 Jaswon published an interestingpaper which was nearly lost between the splendid F. E.M. boom. The method was extended by Rizzo to more complicated problems and definitively incorporated to the scientific community background through several lecture-notes of Cruse recently published, but widely circulated during past years. The work of several researches has shown the tremendous possibilities of the method which is today a recognized alternative to the well established F .E. procedure. In fact, the first comprehensive attempt to cover the method, has been recently published in textbook form. This paper is a contribution to the implementation of a difficulty which arises if the isoparametric elements concept is applicated to plane potential problems with sharp corners in the boundary domain. In previous works, these problems was avoided using two principal approximations: equating the fluxes round the corner or establishing a binode element (in fact, truncating the corner). The first approximation distortes heavily the solution in thecorner neighbourhood, and a great amount of element is neccesary to reduce its influence. The second is better suited but the price payed is increasing the size of the system of equations to be solved. In this paper an alternative formulation, consistent with the shape function chosen in the isoparametric representation, is presented. For ease of comprehension the formulation has been limited to the linear element. Nevertheless its extension to more refined elements is straight forward. Also a direct procedure for the assembling of the equations is presented in an attempt to reduce the in-core computer requirements.

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Neuronal growth is a complex process involving many intra- and extracellular mechanisms which are collaborating conjointly to participate to the development of the nervous system. More particularly, the early neocortical development involves the creation of a multilayered structure constituted by neuronal growth (driven by axonal or dendritic guidance cues) as well as cell migration. The underlying mechanisms of such structural lamination not only implies important biochemical changes at the intracellular level through axonal microtubule (de)polymerization and growth cone advance, but also through the directly dependent stress/stretch coupling mechanisms driving them. Efforts have recently focused on modeling approaches aimed at accounting for the effect of mechanical tension or compression on the axonal growth and subsequent soma migration. However, the reciprocal influence of the biochemical structural evolution on the mechanical properties has been mostly disregarded. We thus propose a new model aimed at providing the spatially dependent mechanical properties of the axon during its growth. Our in-house finite difference solver Neurite is used to describe the guanosine triphosphate (GTP) transport through the axon, its dephosphorylation in guanosine diphosphate (GDP), and thus the microtubules polymerization. The model is calibrated against experimental results and the tensile and bending mechanical stiffnesses are ultimately inferred from the spatially dependent microtubule occupancy. Such additional information is believed to be of drastic relevance in the growth cone vicinity, where biomechanical mechanisms are driving axonal growth and pathfinding. More specifically, the confirmation of a lower stiffness in the distal axon ultimately participates in explaining the controversy associated to the tensile role of the growth cone.

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Non-uniform irradiance patterns created by Concentrated Photovoltaics (CPV) concentrators over Multi-Junction Cells (MJC) can originate significant power losses, especially when there are different spectral irradiance distributions over the different MJC junctions. This fact has an increased importance considering the recent advances in 4 and 5 junction cells. This work presents a new CPV optical design, the 9-fold Fresnel Köhler concentrator, prepared to overcome these effects at high concentrations while maintaining a large acceptance angle, paving the way for a future generation of high efficiency CPV systems of 4 and 5 junction cells.

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Esta tesis constituye un gran avance en el conocimiento del estudio y análisis de inestabilidades hidrodinámicas desde un punto de vista físico y teórico, como consecuencia de haber desarrollado innovadoras técnicas para la resolución computacional eficiente y precisa de la parte principal del espectro correspondiente a los problemas de autovalores (EVP) multidimensionales que gobiernan la inestabilidad de flujos con dos o tres direcciones espaciales inhomogéneas, denominados problemas de estabilidad global lineal. En el contexto del trabajo de desarrollo de herramientas computacionales presentado en la tesis, la discretización mediante métodos de diferencias finitas estables de alto orden de los EVP bidimensionales y tridimensionales que se derivan de las ecuaciones de Navier-Stokes linealizadas sobre flujos con dos o tres direcciones espaciales inhomogéneas, ha permitido una aceleración de cuatro órdenes de magnitud en su resolución. Esta mejora de eficiencia numérica se ha conseguido gracias al hecho de que usando estos esquemas de diferencias finitas, técnicas eficientes de resolución de problemas lineales son utilizables, explotando el alto nivel de dispersión o alto número de elementos nulos en las matrices involucradas en los problemas tratados. Como más notable consecuencia cabe destacar que la resolución de EVPs multidimensionales de inestabilidad global, que hasta la fecha necesitaban de superordenadores, se ha podido realizar en ordenadores de sobremesa. Además de la solución de problemas de estabilidad global lineal, el mencionado desarrollo numérico facilitó la extensión de las ecuaciones de estabilidad parabolizadas (PSE) lineales y no lineales para analizar la inestabilidad de flujos que dependen fuertemente en dos direcciones espaciales y suavemente en la tercera con las ecuaciones de estabilidad parabolizadas tridimensionales (PSE-3D). Precisamente la capacidad de extensión del novedoso algoritmo PSE-3D para el estudio de interacciones no lineales de los modos de estabilidad, desarrollado íntegramente en esta tesis, permite la predicción de transición en flujos complejos de gran interés industrial y por lo tanto extiende el concepto clásico de PSE, el cuál ha sido empleado exitosamente durante las pasadas tres décadas en el mismo contexto para problemas de capa límite bidimensional. Típicos ejemplos de flujos incompresibles se han analizado en este trabajo sin la necesidad de recurrir a restrictivas presuposiciones usadas en el pasado. Se han estudiado problemas vorticales como es el caso de un vórtice aislado o sistemas de vórtices simulando la estela de alas, en los que la homogeneidad axial no se impone y así se puede considerar la difusión viscosa del flujo. Además, se ha estudiado el chorro giratorio turbulento, cuya inestabilidad se utiliza para mejorar las características de funcionamiento de combustores. En la tesis se abarcan adicionalmente problemas de flujos compresibles. Se presenta el estudio de inestabilidad de flujos de borde de ataque a diferentes velocidades de vuelo. También se analiza la estela formada por un elemento rugoso aislado en capa límite supersónica e hipersónica, mostrando excelentes comparaciones con resultados obtenidos mediante simulación numérica directa. Finalmente, nuevas inestabilidades se han identificado en el flujo hipersónico a Mach 7 alrededor de un cono elíptico que modela el vehículo de pruebas en vuelo HIFiRE-5. Los resultados comparan favorablemente con experimentos en vuelo, lo que subraya aún más el potencial de las metodologías de análisis de estabilidad desarrolladas en esta tesis. ABSTRACT The present thesis constitutes a step forward in advancing the frontiers of knowledge of fluid flow instability from a physical point of view, as a consequence of having been successful in developing groundbreaking methodologies for the efficient and accurate computation of the leading part of the spectrum pertinent to multi-dimensional eigenvalue problems (EVP) governing instability of flows with two or three inhomogeneous spatial directions. In the context of the numerical work presented in this thesis, the discretization of the spatial operator resulting from linearization of the Navier-Stokes equations around flows with two or three inhomogeneous spatial directions by variable-high-order stable finite-difference methods has permitted a speedup of four orders of magnitude in the solution of the corresponding two- and three-dimensional EVPs. This improvement of numerical performance has been achieved thanks to the high-sparsity level offered by the high-order finite-difference schemes employed for the discretization of the operators. This permitted use of efficient sparse linear algebra techniques without sacrificing accuracy and, consequently, solutions being obtained on typical workstations, as opposed to the previously employed supercomputers. Besides solution of the two- and three-dimensional EVPs of global linear instability, this development paved the way for the extension of the (linear and nonlinear) Parabolized Stability Equations (PSE) to analyze instability of flows which depend in a strongly-coupled inhomogeneous manner on two spatial directions and weakly on the third. Precisely the extensibility of the novel PSE-3D algorithm developed in the framework of the present thesis to study nonlinear flow instability permits transition prediction in flows of industrial interest, thus extending the classic PSE concept which has been successfully employed in the same context to boundary-layer type of flows over the last three decades. Typical examples of incompressible flows, the instability of which was analyzed in the present thesis without the need to resort to the restrictive assumptions used in the past, range from isolated vortices, and systems thereof, in which axial homogeneity is relaxed to consider viscous diffusion, as well as turbulent swirling jets, the instability of which is exploited in order to improve flame-holding properties of combustors. The instability of compressible subsonic and supersonic leading edge flows has been solved, and the wake of an isolated roughness element in a supersonic and hypersonic boundary-layer has also been analyzed with respect to its instability: excellent agreement with direct numerical simulation results has been obtained in all cases. Finally, instability analysis of Mach number 7 ow around an elliptic cone modeling the HIFiRE-5 flight test vehicle has unraveled flow instabilities near the minor-axis centerline, results comparing favorably with flight test predictions.

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Non-uniform irradiance patterns created by Concentrated Photovoltaics (CPV) concentrators over Multi-Junction Cells (MJC) can originate significant power losses, especially when there are different spectral irradiance distributions over the different MJC junctions. This fact has an increased importance considering the recent advances in 4 and 5 junction cells. This work presents a new CPV optical design, the 9-fold Fresnel Köhler concentrator, prepared to overcome these effects at high concentrations while maintaining a large acceptance angle, paving the way for a future generation of high efficiency CPV systems of 4 and 5 junction cells.

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En este estudio se ha realizado el diseño de un receptor de una central de Torre Central de energía solar para generación directa de vapor, mediante el uso de métodos numéricos, con un perfil de potencia incidente variable longitudinal y transversalmente. Para ello se ha dividido la geometría del receptor según el método de diferencias finitas, y se ha procedido a resolver las ecuaciones del balance de energía. Una vez resuelto el sistema de ecuaciones se dispone de la distribución de temperaturas en el receptor y se puede proceder a analizar los resultados así como a calcular otros datos de interés. ABSTRACT In this study it has been made a Central Receiver Solar Thermal Power Plant’s Receiver design for direct steam production, by using numerical methods, with a variable longitudinally and transversely income solar power profile. With this propose, the receiver’s geometry has been divided using the finite difference method, and the energy balance equations have been solved. Once the equations system has been solved, the receiver´s temperature distribution is known, and you can analyze the results as well as calculate other interesting data.

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La presente tesis doctoral pretende arrojar nueva luz sobre la utilización de la prensa durante los primeros años del franquismo. En concreto, el objetivo ha sido estudiar la censura del tema deportivo dentro del sistema censorio de los primeros años de posguerra civil en España, una área no estudiada hasta hoy y que entendemos fundamental para entender el desarrollo del deporte durante el llamado primer franquismo. Para ello, se estudiaron de manera pormenorizada los actores principales y los pasos básicos del proceso de censura; los métodos utilizados, tanto materiales como personales, para hacer efectiva ésta; y, por último, sus manifestaciones reales en el ámbito de la información deportiva: qué se censuró, por parte de quién, de qué forma y por qué motivos. De este modo, pretendemos llenar una de las lagunas de investigación que aún quedan dentro del estudio de la censura de prensa durante el franquismo. La metodología utilizada es la técnica historiográfica. Basado en el análisis crítico y en la interpretación de fuentes primarias, dicho método trata de establecer marcos históricos de referencia a través del estudio pormenorizado de las circunstancias del pasado. Ello implica una estructura algo distinta a la de las tesis doctorales de otras áreas de estudio puesto que, exceptuando la introducción, toda la tesis es la exposición de los resultados de la investigación llevada a cabo. Se ha utilizado cuantiosa documentación de los archivos General de la Administracion (Alcalá de Henares) y Centrale dello Stato (Roma) no manejada anteriormente por ningún investigador. La prensa periódica de la época y la legislación que afecta a nuestro tema de estudio también han sido ampliamente investigadas, tanto en el contexto español como en el italiano. Nuestra investigación arroja los siguientes resultados. Efectivamente, existió censura de prensa en el tema deportivo en las siguientes temáticas fundamentales: cuestiones económicas, autoridades y jerarquías, uso del lenguaje y comportamiento de los deportistas. En la mayor parte de los casos, la censura se ejerce en la información deportiva por razones ajenas al propio deporte. No se puede afirmar que existan diferencias en el tratamiento general entre medios de la Prensa del Movimiento y otros de titularidad privada o eclesiástica, si bien la aplicación de la censura no fue homogénea sino arbitraria en muchos casos. El sistema de censura de prensa español del primer franquismo toma la mayoría de sus rasgos del modelo fascista italiano, aunque tiene alguna característica propia como la censura previa y el catolicismo imperante. ABSTRACT This doctoral thesis aims to shed light on the use of press during the first years of francoism. The particular objective was to study the censorship of the sport topic into the general system of censorship carried out after the Spanish Civil War. It is a subject comparatively understudied to date but a key aspect to understand the development of sport during the so called early francoism. To this end, an in-depth study was made on key actors, main steps of censorship process, human and material methods used to ensure its effectiveness, and the actual manifestations in sports information area: what was censored, by whom, how and why. This should ensure us to fill the historiographical gap within the research on Francoʼs press censorship. Methodology used was historiographic research. It is based on critical analysis and interpretation of primary sources and seeks to establish historical reference frameworks tracing back the past in detail. It determines a different doctoral thesis structure in some aspects. Except the introduction, the whole document is the report and explanation of the results of research. A large amount of unexplored documents from the Archivo General de la Administración (Alcalá de Henares, Spain) and the Archivio Centrale dello Stato (Rome, Italy) has been used. The press of the period and legislation about our topic have also been analysed in detail both in Spain and Italy. Our research states these results. We can affirm that press censorship actually existed on sports topic in these thematic priorities: economical issues, authorities and hierarchies, use of language and sportsmen behaviours. In most cases, the censorship of sports information is exercised for reasons unconnected to sport. It cannot be concluded that general differences were applied in press censorship between State-owned media and private or church media although its implementation was non-uniform and arbitrary in many cases. The system of press censorship in Spain during the early francoism is clearly inspired by fascist Italy system copying most of its features although Spain had a few specific characteristics like prior censorship and catholicism.

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Se ha utilizado un programa de modelización de ondas sísmicas por métodos finitos en dos dimensiones para analizar el efecto Source Ghost en profundidades de 4, 14, 24 y 34 metros. Este efecto se produce cuando se dispara una fuente enterrada y, debido al contacto suelo-aire, se genera una onda reflejada que, en cierto momento, se superpone con la onda principal, produciéndose una disminución de la amplitud de la onda (Source Ghost). Los resultados teóricos del efecto se han comparado con los resultados prácticos del programa de modelización concluyéndose que es posible determinar el rango de frecuencias afectado por el efecto. Sin embargo, la distancia entre receptor y fuente es una nueva variable que desplaza el efecto hacia frecuencias más altas impidiendo su predicción. La utilización de una técnica de procesamiento básica como la corrección del Normal Move-Out (NMO) en el apilado de las trazas, contrarresta la variable distancia receptor-fuente, y por tanto es posible calcular el rango de frecuencias del efecto Source Ghost. Abstract A seismic wave forward modeling in two dimensions using finite-difference method has been used for analyzing the Source Ghost effect at depths between 4-34 meters. A shot from a buried source generates a down going reflection due to the free surface boundary and, at some point, it interferes with the main wave propagation causing a reduction of wave amplitude at some frequency range (Source Ghost). Theoretical results and experimental results provided by the forward modeling are compared for concluding that the forward modeling is able to identify the frequency range affected by the source ghost. Nevertheless, it has been found that the receiver-source distance (offset) is a new variable that modifies the frequency range to make it unpredictable. A basic seismic processing technique, Normal Move-Out (NMO) correction, has been used for a single twenty fold CMP gather. The final stack shows that the processing technique neutralize the offset effect and therefore the forward modeling is still capable to determine the affected frequency range by the source ghost regardless the distance between receiver and source.

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Plant diseases represent a major economic and environmental problem in agriculture and forestry. Upon infection, a plant develops symptoms that affect different parts of the plant causing a significant agronomic impact. As many such diseases spread in time over the whole crop, a system for early disease detection can aid to mitigate the losses produced by the plant diseases and can further prevent their spread [1]. In recent years, several mathematical algorithms of search have been proposed [2,3] that could be used as a non-invasive, fast, reliable and cost-effective methods to localize in space infectious focus by detecting changes in the profile of volatile organic compounds. Tracking scents and locating odor sources is a major challenge in robotics, on one hand because odour plumes consists of non-uniform intermittent odour patches dispersed by the wind and on the other hand because of the lack of precise and reliable odour sensors. Notwithstanding, we have develop a simple robotic platform to study the robustness and effectiveness of different search algorithms [4], with respect to specific problems to be found in their further application in agriculture, namely errors committed in the motion and sensing and to the existence of spatial constraints due to land topology or the presence of obstacles.

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This paper discusses the torsional response of a scaled reinforced concrete frame structure subjected to several uniaxial shaking table tests. The tested structure is nominally symmetric in the direction of shaking and exhibits torsion attributable to non-uniform yielding of structural components and uncertainties in the building process. Asymmetric behavior is analyzed in terms of displacement, strain in reinforcing bars, energy dissipated at plastic hinges, and damage at section and frame levels. The results show that for low levels of seismic hazard, for which the structure is expected to perform basically within the elastic range, the accidental eccentricity is not a concern for the health of the structure, but it significantly increases the lateral displacement demand in the frames (about 30%) and this might cause significant damage to non-structural components. For high levels of seismic hazard the effects of accidental torsion become less important. These results underline the need to consider accidental eccentricity in evaluating the performance of a structure for very frequent or frequent earthquakes, and suggest that consideration of torsion may be neglected for performance levels associated with rare or very rare earthquakes.

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Non-uniform irradiance patterns over Multi-Junction Cells gives rise to power losses, especially when considering spectral irradiance distributions over different junctions. Thermal effects on Silicone-on-Glass lenses affect spectral irradiance distributions. A new Photovoltaic Concentrator (CPV), formed by nine optical channels, each one with a Köhler configuration, has been designed to overcome these effects at high concentrations for a large acceptance angle. A Fresnel Lens with a Variable Focal Point is proposed to prevent optical crosstalk in multichannel systems. When integrated into the concentrator, improves the acceptance angle. These designs are designed to fulfill the expected requirements of four junction CPV systems.

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Spotlighting is one illumination field where the application of light emitting diodes (LED) creates many advantages. Commonly, the system for spot lights consists of a LED light engine and collimating secondary optics. Through angular or spatial separated emitted light from the source and imaging optical elements, a non uniform far field appears with colored rings, dots or patterns. Many feasible combinations result in very different spatial color distributions. Several combinations of three multi-chip light sources and secondary optical elements like reflectors and TIR lenses with additional facets or scattering elements were analyzed mainly regarding the color uniformity. They are assessed by the merit function Usl which was derived from human factor experiments and describes the color uniformity based on the visual perception of humans. Furthermore, the optical systems are compared concerning efficiency, peak candela and aspect ratio. Both types of optics differ in the relation between the color uniformity level and other properties. A plain reflector with a slightly color mixing light source performs adequate. The results for the TIR lenses indicate that they need additional elements for good color mixing or blended light source. The most convenient system depends on the requirements of the application.

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The micrometeorological mass-balance integrated horizontal flux (IHF) technique has been commonly employed for measuring ammonia (NH3) emissions inon-field experiments. However, the inverse-dispersion modeling technique, such as the backward Lagrangian stochastic (bLS) modeling approach, is currently highlighted as offering flexibility in plot design and requiring a minimum number of samplers (Ro et al., 2013). The objective of this study was to make a comparison between the bLS technique with the IHF technique for estimating NH3 emission from flexible bag storage and following landspreading of dairy cattle slurry. Moreover, considering that NH3 emission in storage could have been non uniform, the effect on bLS estimates of a single point and multiple downwind concentration measurements was tested, as proposed by Sanz et al. (2010).

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El período de la Historia comprendido entre 1570 y 1620 nos ha dejado un importante conjunto de documentos relacionados con la construcción naval en la Península Ibérica. En una época convulsa en la que los reinos de España y Portugal se aglutinaron bajo una misma Corona, surgen una serie de manuscritos, libros y leyes que reflejan la creciente preocupación de la sociedad por el tema naval. Entre sus páginas encontramos las descripciones del proceso constructivo de los buques que sus autores consideraban más significativos para las demandas que se planteaban en ese momento. Este proceso que combinaba generación de formas y construcción del buque provenía de una secular tradición nacida en el Mediterráneo. Mediante reglas geométricas sencillas, el constructor naval trazaba las secciones centrales y el perfil de la nao, quedando los extremos de la misma (hasta más de la mitad de la eslora) a su buen hacer y experiencia. Las herramientas informáticas de generación de superficies mediante NURBs (Non- Uniform Rational B-spline) permiten reconstruir las formas de los navíos reproduciendo con fiabilidad las carenas de los mismos a partir de los documentos de la época. Mediante un estudio detallado de interpretación de los textos y transcribiendo los procesos, llegamos a obtener con un buen grado de precisión las carenas de los buques descritos en sus páginas. A partir de ahí y mediante el análisis cualitativo y cuantitativo de los parámetros obtenidos es posible valorar si las soluciones representadas por los barcos respondían a las preguntas planteadas por sus autores , la influencia de factores externos a la construcción naval tales como las regulaciones del Estado o identificar su relación con el germen y la expansión de la teoría que ha determinado los efectos de la Ciencia en la Arquitectura Naval. Comenzando por la nao veneciana de 1550, heredera de la secular tradición constructiva mediterránea, hasta llegar a las Reales Ordenanzas promulgadas en 1618, se reproducen hasta nueve carenas a partir de otros tantos documentos, se dibujan sus planos de formas y se exportan para su análisis hidrostático. El trabajo requiere la realización de otros estudios en paralelo necesarios para entender aquellos factores que formaron parte del desarrollo tecnológico naval como son, las unidades de medida en uso en los astilleros, los distintos sistemas de arqueo impuestos por la Corona y la representación de los diferentes instrumentos geométricos de modificación de los parámetros de diseño. A lo largo del trabajo se dan respuesta a interrogantes planteados por la arqueología en relación con el desarrollo de la arquitectura naval poniendo en evidencia que durante este período quedaron establecidos los fundamentos teórico-prácticos de lo que más adelante se convirtió en la ciencia de la ingeniería naval y se plantean nuevos retos para aquellos que deseen continuar la apasionante tarea de la investigación científica de nuestra historia. ABSTRACT The period of the History comprised between 1570 and 1620 has left an important set of shipbuilding documents in the Iberian Peninsula. In a turbulent time in which the kingdoms of Spain and Portugal were ruled under the same Crown, manuscripts, books and laws that reflect the growing concern of society for the naval theme arose. We found among their pages shipbuilding process descriptions of the more relevant vessels that responded to claims that arose at that time. This process brought together hull generation and shipbuilding and came from a secular tradition born in the Mediterranean. By means of simple geometric rules, the shipbuilder traced the central sections and profile of the ship, leaving the ends thereof (almost half of the length) to its good performance and experience. 3D computer modelling software by NURBs (Non-Uniform Rational B-spline) surfaces helps to reconstruct ships hulls from contemporary documents. Through a detailed texts interpretation and transcription processes, we manage to reach with a good degree of accuracy the ship hulls described in its pages. From there and through qualitative and quantitative analysis of the parameters obtained we can assess whether the solutions represented by ships gave response to the questions raised by the authors, the influence of external factors such as shipbuilding state regulations or identify their relationship to the origin and expansion of the theory that has determined the effects of Science in Naval Architecture. From the 1550 Venetian nao, inheritor of the secular Mediterranean building tradition, to the Royal Ordinances enacted in 1618, as nine hulls are reproduced, their line drawings are traced and exported for analysis hydrostatic. Further studies are needed to understand the factors that were part of shipbuilding technology development as the units of measure in use in shipyards, the different official regulations for calculating ship tonnage and the different geometric instruments to amend the design parameters. The work gives response to questions raised by archaeology in relation to the development of naval architecture highlighting that during this period were established the theoretical and practical foundations of what later became the science of naval engineering and raising new challenges for those wishing to continue the exciting task of scientific research of our History.

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In this work, we explain the behavior of multijunction solar cells under non-uniform (spatially and in spectral content) light profiles in general and in particular when Gaussian light profiles cause a photo-generated current density, which exceeds locally the peak current density of the tunnel junction. We have analyzed the implications on the tunnel junction's limitation, that is, in the loss of efficiency due to the appearance of a dip in the I–V curve. For that, we have carried out simulations with our three-dimensional distributed model for multijunction solar cells, which contemplates a full description of the tunnel junction and also takes into account the lateral resistances in the tunnel junction. The main findings are that the current density photo-generated spreads out through the lateral resistances of the device, mainly through the tunnel junction layers and the back contact. Therefore, under non-uniform light profiles these resistances are determinant not only to avoid the tunnel junction's limitation but also for mitigating losses in the fill factor. Therefore, taking into account these lateral resistances could be the key for jointly optimizing the concentrator photovoltaic system (concentrator optics, front grid layout and semiconductor structure)