A Semi-Lagrangian Particle Level Set Finite Element Method for Interface Problems

We present a quasi-monotone semi-Lagrangian particle level set (QMSL-PLS) method for moving interfaces. The QMSL method is a blend of first order monotone and second order semi-Lagrangian methods. The QMSL-PLS method is easy to implement, efficient, and well adapted for unstructured, either simplicial or hexahedral, meshes. We prove that it is unconditionally stable in the maximum discrete norm, � · �h,∞, and the error analysis shows that when the level set solution u(t) is in the Sobolev space Wr+1,∞(D), r ≥ 0, the convergence in the maximum norm is of the form (KT/Δt)min(1,Δt � v �h,∞ /h)((1 − α)hp + hq), p = min(2, r + 1), and q = min(3, r + 1),where v is a velocity. This means that at high CFL numbers, that is, when Δt > h, the error is O( (1−α)hp+hq) Δt ), whereas at CFL numbers less than 1, the error is O((1 − α)hp−1 + hq−1)). We have tested our method with satisfactory results in benchmark problems such as the Zalesak’s slotted disk, the single vortex flow, and the rising bubble.

DROMO formulation for planar motions: Solution to the Tsien Problem

The two-body problem subject to a constant radial thrust is analyzed as a planar motion. The description of the problem is performed in terms of three perturbation methods: DROMO and two others due to Deprit. All of them rely on Hansen?s ideal frame concept. An explicit, analytic, closed-form solution is obtained for this problem when the initial orbit is circular (Tsien problem), based on the DROMO special perturbation method, and expressed in terms of elliptic integral functions. The analytical solution to the Tsien problem is later used as a reference to test the numerical performance of various orbit propagation methods, including DROMO and Deprit methods, as well as Cowell and Kustaanheimo?Stiefel methods.

Integral energy behaviour of photovoltaic semi-transparent glazing elements for building integration

La hipótesis general que esta tesis quiere demostrar es que la integración arquitectónica de sistemas fotovoltaicos semitransparentes (STPV) puede contribuir a mejorar la eficiencia energética de los edificios. Por lo tanto, la investigación se centra en el desarrollo de una metodología capaz de cuantificar la reducción de la demanda energética del edificio proporcionada por estas novedosas soluciones constructivas. Al mismo tiempo, los parámetros de diseño de las soluciones STPV se han analizado para establecer cuales presentan el mayor impacto sobre el balance energético global del edificio y por lo tanto tienen que ser cuidadosamente definidos a la hora de optimizar el comportamiento energético del mismo. A la luz de estos objetivos, la metodología de estudio se ha centrado en tres puntos principales:  Caracterizar el comportamiento energético global de sistemas STPV en condiciones de operación realistas, similares a las que se darían en un sistema real;  Caracterizar el comportamiento energético global de sistemas STPV en condiciones controladas, con el objetivo de estudiar la variación del comportamiento del los elementos en función de parámetro de diseño y operación;  Evaluar el potencial de ahorro energético global de los sistemas STPV en comparación con soluciones acristaladas convencionales al variar de las condiciones de contorno constituidas por los parámetros de diseño (como el grado de transparencia), las características arquitectónicas (como el ratio entre superficie acristalada y superficie opaca en la fachada del edificio) y las condiciones climáticas (cubriendo en particular la climatología europea). En síntesis, este trabajo intenta contribuir a comprender la interacción que existe entre los sistemas STPV y el edificio, proporcionando tanto a los fabricantes de los componentes como a los profesionales de la construcción información valiosa sobre el potencial de ahorro energético asociado a estos nuevos sistemas constructivos. Asimismo el estudio define los parámetros de diseño adecuados para lograr soluciones eficientes tanto en proyectos nuevos como de rehabilitación. ABSTRACT The general hypothesis this work seeks to demonstrate is that the architectural integration of Semi-Transparent Photovoltaic (STPV) systems can contribute to improving the energy efficiency of buildings. Accordingly, the research has focused on developing a methodology able to quantify the building energy demand reduction provided by these novel constructive solutions. At the same time, the design parameters of the STPV solution have been analysed to establish which of them have the greatest impact on the global energy balance of the building, and therefore which have to be carefully defined in order to optimize the building operation. In the light of these goals, the study methodology has focused on three main points:  To characterise the global energy behaviour of STPV systems in realistic operating conditions, similar to those in which a real system will operate;  To characterise the global energy behaviour of STPV systems in controlled conditions in order to study how the performance varies depending on the design and operating parameters;  To assess the global energy saving potential of STPV systems in comparison with conventional glazing solutions by varying the boundary conditions, including design parameters (such as the degree of transparency), architectural characteristics (such as the Window to Wall Ratio) and climatic conditions (covering the European climatic conditions). In summary, this work has sought to contribute to the understanding of the interaction between STPV systems and the building, providing both components manufacturers and construction technicians, valuable information on the energy savings potential of these new construction systems and defining the appropriate design parameters to achieve efficient solutions in both new and retrofitting projects.

Experiências do desenvolvimento de transformador para alta temperatura baseado em isolação semi-híbrida e óleo vegetal isolante.

O transformador de potência é um importante equipamento utilizado no sistema elétrico de potência, responsável por transmitir energia elétrica ou potência elétrica de um circuito a outro e transformar tensões e correntes de um circuito elétrico. O transformador de potência tem ampla aplicação, podendo ser utilizado em subestações de usinas de geração, transmissão e distribuição. Neste sentido, mudanças recentes ocorridas no sistema elétrico brasileiro, causadas principalmente pelo aumento considerável de carga e pelo desenvolvimento tecnológico tem proporcionado a fabricação de um transformador com a aplicação de alta tecnologia, aumentando a confiabilidade deste equipamento e, em paralelo, a redução do seu custo global. Tradicionalmente, os transformadores são fabricados com um sistema de isolação que associa isolantes sólidos e celulose, ambos, imersos em óleo mineral isolante, constituição esta que define um limite à temperatura operacional contínua. No entanto, ao se substituir este sistema de isolação formado por papel celulose e óleo mineral isolante por um sistema de isolação semi- híbrida - aplicação de papel NOMEX e óleo vegetal isolante, a capacidade de carga do transformador pode ser aumentada por suportar maiores temperaturas. Desta forma, o envelhecimento do sistema de isolação poderá ser em longo prazo, significativamente reduzido. Esta técnica de aumentar os limites térmicos do transformador pode eliminar, essencialmente, as restrições térmicas associadas à isolação celulósica, provendo uma solução econômica para aperfeiçoar o uso de transformadores de potência, aumentando a sua confiabilidade operacional. Adicionalmente, à aplicação de sensores de fibra óptica, em substituição aos sensores de imagem térmica no monitoramento das temperaturas internas do transformador, se apresentam como importante opção na definição do equacionamento do comportamento do transformador sob o ponto de vista térmico.

Correlação entre microestrutura e comportamento de corrosão em duas ligas do sistema Al-Fe-Si produzidas pelos processos industriais de lingotamento contínuo e semi-contínuo.

As chapas de ligas de alumínio trabalháveis são produzidas atualmente por dois processos, o método de vazamento contínuo conhecido TRC (Twin Roll Continous Casting) ou pelo método tradicional de vazamento de placas DC (Direct Chill). A fabricação de ligas de alumínio pelos dois processos confere características microestruturais diferentes quando comparadas entre si, o que se reflete em suas propriedades. Além disto, ocorrem variações microestruturais ao longo da espessura, especialmente nas chapas produzidas pelo processo TRC. Neste sentido, é importante estudar a evolução microestrutural que ocorre durante o seu processamento e sua influência com relação à resistência à corrosão. Dessa forma foi realizado neste trabalho um estudo comparativo do comportamento de corrosão, bem como das microestruturas do alumínio de alta pureza AA1199 (99,995% Al) e das ligas de alumínio AA1050 (Fe+Si0,5%) e AA4006 (Fe+Si1,8%) produzidas pelos processos industriais de lingotamento contínuo e semi-contínuo. Os resultados obtidos evidenciaram que as microestruturas das ligas AA4006 DC e AA4006 TRC são distintas, sendo observada maior fração volumétrica dos precipitados na liga fabricada pelo processo TRC comparativamente ao DC. Para caracterizar o comportamento de corrosão foram realizados ensaios de Espectroscopia de Impedância Eletroquímica e Polarização Potenciodinâmica, que mostraram a maior resistência à corrosão localizada para a liga fabricada pelo processo TRC em comparação ao processo DC. Além disso, foi verificada, em ordem decrescente, uma maior resistência à corrosão do alumínio AA1050, seguida pela superfície da liga AA4006 e por fim, pelo centro da chapa desta última. Os resultados obtidos por espectroscopia de impedância eletroquímica para as ligas AA4006 fabricadas pelo processo TRC apresentaram melhor desempenho que o processo DC, principalmente em intervalos de 2 a 12 horas de imersão na solução de sulfato de sódio contaminada com íons cloreto. Para tempos de imersão acima de 4 horas foi observado comportamento indutivo em baixas frequências para os dois tipos de processamento investigados, o que foi associado à adsorção de espécies químicas, principalmente íons sulfato e oxigênio, na interface metal/óxido. As curvas de polarização anódica mostraram maior resistência à corrosão localizada para a liga fabricada pelo processo viii TRC em comparação ao processo DC. Este comportamento foi associado às diferentes características microestruturais, observadas para liga AA4006 obtida pelos dois processos.

On stable uniqueness in linear semi-infinite optimization

This paper is intended to provide conditions for the stability of the strong uniqueness of the optimal solution of a given linear semi-infinite optimization (LSIO) problem, in the sense of maintaining the strong uniqueness property under sufficiently small perturbations of all the data. We consider LSIO problems such that the family of gradients of all the constraints is unbounded, extending earlier results of Nürnberger for continuous LSIO problems, and of Helbig and Todorov for LSIO problems with bounded set of gradients. To do this we characterize the absolutely (affinely) stable problems, i.e., those LSIO problems whose feasible set (its affine hull, respectively) remains constant under sufficiently small perturbations.

Calmness modulus of linear semi-infinite programs

Our main goal is to compute or estimate the calmness modulus of the argmin mapping of linear semi-infinite optimization problems under canonical perturbations, i.e., perturbations of the objective function together with continuous perturbations of the right-hand side of the constraint system (with respect to an index ranging in a compact Hausdorff space). Specifically, we provide a lower bound on the calmness modulus for semi-infinite programs with unique optimal solution which turns out to be the exact modulus when the problem is finitely constrained. The relationship between the calmness of the argmin mapping and the same property for the (sub)level set mapping (with respect to the objective function), for semi-infinite programs and without requiring the uniqueness of the nominal solution, is explored, too, providing an upper bound on the calmness modulus of the argmin mapping. When confined to finitely constrained problems, we also provide a computable upper bound as it only relies on the nominal data and parameters, not involving elements in a neighborhood. Illustrative examples are provided.

Comparative study of RPSALG algorithm for convex semi-infinite programming

The Remez penalty and smoothing algorithm (RPSALG) is a unified framework for penalty and smoothing methods for solving min-max convex semi-infinite programing problems, whose convergence was analyzed in a previous paper of three of the authors. In this paper we consider a partial implementation of RPSALG for solving ordinary convex semi-infinite programming problems. Each iteration of RPSALG involves two types of auxiliary optimization problems: the first one consists of obtaining an approximate solution of some discretized convex problem, while the second one requires to solve a non-convex optimization problem involving the parametric constraints as objective function with the parameter as variable. In this paper we tackle the latter problem with a variant of the cutting angle method called ECAM, a global optimization procedure for solving Lipschitz programming problems. We implement different variants of RPSALG which are compared with the unique publicly available SIP solver, NSIPS, on a battery of test problems.

Qualitative analysis; an introduction to equilbrium and solution chemistry.

Mode of access: Internet.

An elementary treatise on conic sections and algebraic geometry : with numerous examples and hints for their solution, especially designed for the use of beginners /

Mode of access: Internet.

Relationship status and identity construction in heterosexual women:A discourse analytic and personal construct study

This thesis reports the findings of three studies examining relationship status and identity construction in the talk of heterosexual women, from a feminist and social constructionist perspective. Semi-structured interviews were conducted with 12 women in study 1 and 13 women for study 2, between the ages of twenty and eighty-seven, discussing their experiences of relationships. All interviews were transcribed and analysed using discourse analysis, by hand and using the Nudist 6 program. The resulting themes create distinct age-related marital status expectations. Unmarried women were aware they had to marry by a ‘certain age’ or face a ‘lonely spinsterhood’. Through marriage women gained a socially accepted position associated with responsibility for others, self-sacrifice, a home-focused lifestyle and relational identification. Divorce was constructed as the consequence of personal faults and poor relationship care, reassuring the married of their own control over their status. Older unmarried women were constructed as deviant and pitiable, occupying social purgatory as a result of transgressing these valued conventions. Study 3 used repertory grid tasks, with 33 women, analysing transcripts and notes alongside numerical data using Web Grid II internet analysis tool, to produce principle components maps demonstrating the relationships between relationship terms and statuses. This study illuminated the consistency with which women of different ages and status saw marriage as their ideal living situation and outlined the domestic responsibilities associated. Spinsters and single-again women were defined primarily by their lack of marriage and by loneliness. This highlighted the devalued position of older unmarried women. The results of these studies indicated a consistent set of age-related expectations of relationship status, acknowledged by women and reinforced by their families and friends, which render many unmarried women deviant and fail to acknowledge the potential variety of women’s ways of living.

Parabolic optical pulses under the action of the third-order dispersion

Recent developments in nonlinear optics reveal an interesting class of pulses with a parabolic intensity profile in the energy-containing core and a linear frequency chirp that can propagate in a fiber with normal group-velocity dispersion. Parabolic pulses propagate in a stable selfsimilar manner, holding certain relations (scaling) between pulse power, width, and chirp parameter. In the additional presence of linear amplification, they enjoy the remarkable property of representing a common asymptotic state (or attractor) for arbitrary initial conditions. Analytically, self-similar (SS) parabolic pulses can be found as asymptotic, approximate solutions of the nonlinear Schr¨odinger equation (NLSE) with gain in the semi-classical (largeamplitude/small-dispersion) limit. By analogy with the well-known stable dynamics of solitary waves - solitons, these SS parabolic pulses have come to be known as similaritons. In practical fiber systems, inherent third-order dispersion (TOD) in the fiber always introduces a certain degree of asymmetry in the structure of the propagating pulse, eventually leading to pulse break-up. To date, there is no analytic theory of parabolic pulses under the action of TOD. Here, we develop aWKB perturbation analysis that describes the effect of weak TOD on the parabolic pulse solution of the NLSE in a fiber gain medium. The induced perturbation in phase and amplitude can be found to any order. The theoretical model predicts with sufficient accuracy the pulse structural changes induced by TOD, which are observed through direct numerical NLSE simulations.

An alternating boundary integral based method for a Cauchy problem for the Laplace equation in semi-infinite regions

We consider a Cauchy problem for the Laplace equation in a two-dimensional semi-infinite region with a bounded inclusion, i.e. the region is the intersection between a half-plane and the exterior of a bounded closed curve contained in the half-plane. The Cauchy data are given on the unbounded part of the boundary of the region and the aim is to construct the solution on the boundary of the inclusion. In 1989, Kozlov and Maz'ya [10] proposed an alternating iterative method for solving Cauchy problems for general strongly elliptic and formally self-adjoint systems in bounded domains. We extend their approach to our setting and in each iteration step mixed boundary value problems for the Laplace equation in the semi-infinite region are solved. Well-posedness of these mixed problems are investigated and convergence of the alternating procedure is examined. For the numerical implementation an efficient boundary integral equation method is proposed, based on the indirect variant of the boundary integral equation approach. The mixed problems are reduced to integral equations over the (bounded) boundary of the inclusion. Numerical examples are included showing the feasibility of the proposed method.

On an indirect integral equation approach for stationary heat transfer in semi-infinite layered domains in R3 with cavities

Regions containing internal boundaries such as composite materials arise in many applications.We consider a situation of a layered domain in IR3 containing a nite number of bounded cavities. The model is stationary heat transfer given by the Laplace equation with piecewise constant conductivity. The heat ux (a Neumann condition) is imposed on the bottom of the layered region and various boundary conditions are imposed on the cavities. The usual transmission (interface) conditions are satised at the interface layer, that is continuity of the solution and its normal derivative. To eciently calculate the stationary temperature eld in the semi-innite region, we employ a Green's matrix technique and reduce the problem to boundary integral equations (weakly singular) over the bounded surfaces of the cavities. For the numerical solution of these integral equations, we use Wienert's approach [20]. Assuming that each cavity is homeomorphic with the unit sphere, a fully discrete projection method with super-algebraic convergence order is proposed. A proof of an error estimate for the approximation is given as well. Numerical examples are presented that further highlights the eciency and accuracy of the proposed method.

Parabolic optical pulses under the action of the third-order dispersion

Recent developments in nonlinear optics reveal an interesting class of pulses with a parabolic intensity profile in the energy-containing core and a linear frequency chirp that can propagate in a fiber with normal group-velocity dispersion. Parabolic pulses propagate in a stable selfsimilar manner, holding certain relations (scaling) between pulse power, width, and chirp parameter. In the additional presence of linear amplification, they enjoy the remarkable property of representing a common asymptotic state (or attractor) for arbitrary initial conditions. Analytically, self-similar (SS) parabolic pulses can be found as asymptotic, approximate solutions of the nonlinear Schr¨odinger equation (NLSE) with gain in the semi-classical (largeamplitude/small-dispersion) limit. By analogy with the well-known stable dynamics of solitary waves - solitons, these SS parabolic pulses have come to be known as similaritons. In practical fiber systems, inherent third-order dispersion (TOD) in the fiber always introduces a certain degree of asymmetry in the structure of the propagating pulse, eventually leading to pulse break-up. To date, there is no analytic theory of parabolic pulses under the action of TOD. Here, we develop aWKB perturbation analysis that describes the effect of weak TOD on the parabolic pulse solution of the NLSE in a fiber gain medium. The induced perturbation in phase and amplitude can be found to any order. The theoretical model predicts with sufficient accuracy the pulse structural changes induced by TOD, which are observed through direct numerical NLSE simulations.