Análise dos erros na estimação de gradientes em malhas de Voronoi

Este trabalho apresenta um estudo teórico e numérico sobre os erros que ocorrem nos cálculos de gradientes em malhas não estruturadas constituídas pelo diagrama de Voronoi, malhas estas, formadas também pela triangulação de Delaunay. As malhas adotadas, no trabalho, foram as malhas cartesianas e as malhas triangulares, esta última é gerada pela divisão de um quadrado em dois ou quatro triângulos iguais. Para tal análise, adotamos a escolha de três metodologias distintas para o cálculo dos gradientes: método de Green Gauss, método do Mínimo Resíduo Quadrático e método da Média do Gradiente Projetado Corrigido. O texto se baseia em dois enfoques principais: mostrar que as equações de erros dadas pelos gradientes podem ser semelhantes, porém com sinais opostos, para pontos de cálculos em volumes vizinhos e que a ordem do erro das equações analíticas pode ser melhorada em malhas uniformes quando comparada as não uniformes, nos casos unidimensionais, e quando analisada na face de tais volumes vizinhos nos casos bidimensionais.

Experimental, Numerical and Analytical Studies of the MHD-driven plasma jet, instabilities and waves

This thesis describes a series of experimental, numerical, and analytical studies involving the Caltech magnetohydrodynamically (MHD)-driven plasma jet experiment. The plasma jet is created via a capacitor discharge that powers a magnetized coaxial planar electrodes system. The jet is collimated and accelerated by the MHD forces.

We present three-dimensional ideal MHD finite-volume simulations of the plasma jet experiment using an astrophysical magnetic tower as the baseline model. A compact magnetic energy/helicity injection is exploited in the simulation analogous to both the experiment and to astrophysical situations. Detailed analysis provides a comprehensive description of the interplay of magnetic force, pressure, and flow effects. We delineate both the jet structure and the transition process that converts the injected magnetic energy to other forms.

When the experimental jet is sufficiently long, it undergoes a global kink instability and then a secondary local Rayleigh-Taylor instability caused by lateral acceleration of the kink instability. We present an MHD theory of the Rayleigh-Taylor instability on the cylindrical surface of a plasma flux rope in the presence of a lateral external gravity. The Rayleigh-Taylor instability is found to couple to the classic current-driven instability, resulting in a new type of hybrid instability. The coupled instability, produced by combination of helical magnetic field, curvature of the cylindrical geometry, and lateral gravity, is fundamentally different from the classic magnetic Rayleigh-Taylor instability occurring at a two-dimensional planar interface.

In the experiment, this instability cascade from macro-scale to micro-scale eventually leads to the failure of MHD. When the Rayleigh-Taylor instability becomes nonlinear, it compresses and pinches the plasma jet to a scale smaller than the ion skin depth and triggers a fast magnetic reconnection. We built a specially designed high-speed 3D magnetic probe and successfully detected the high frequency magnetic fluctuations of broadband whistler waves associated with the fast reconnection. The magnetic fluctuations exhibit power-law spectra. The magnetic components of single-frequency whistler waves are found to be circularly polarized regardless of the angle between the wave propagation direction and the background magnetic field.

Microscopic Origin of Macroscopic Strength in Granular Media: A Numerical and Analytical Approach

Constitutive modeling in granular materials has historically been based on macroscopic experimental observations that, while being usually effective at predicting the bulk behavior of these type of materials, suffer important limitations when it comes to understanding the physics behind grain-to-grain interactions that induce the material to macroscopically behave in a given way when subjected to certain boundary conditions.

The advent of the discrete element method (DEM) in the late 1970s helped scientists and engineers to gain a deeper insight into some of the most fundamental mechanisms furnishing the grain scale. However, one of the most critical limitations of classical DEM schemes has been their inability to account for complex grain morphologies. Instead, simplified geometries such as discs, spheres, and polyhedra have typically been used. Fortunately, in the last fifteen years, there has been an increasing development of new computational as well as experimental techniques, such as non-uniform rational basis splines (NURBS) and 3D X-ray Computed Tomography (3DXRCT), which are contributing to create new tools that enable the inclusion of complex grain morphologies into DEM schemes.

Yet, as the scientific community is still developing these new tools, there is still a gap in thoroughly understanding the physical relations connecting grain and continuum scales as well as in the development of discrete techniques that can predict the emergent behavior of granular materials without resorting to phenomenology, but rather can directly unravel the micro-mechanical origin of macroscopic behavior.

In order to contribute towards closing the aforementioned gap, we have developed a micro-mechanical analysis of macroscopic peak strength, critical state, and residual strength in two-dimensional non-cohesive granular media, where typical continuum constitutive quantities such as frictional strength and dilation angle are explicitly related to their corresponding grain-scale counterparts (e.g., inter-particle contact forces, fabric, particle displacements, and velocities), providing an across-the-scale basis for better understanding and modeling granular media.

In the same way, we utilize a new DEM scheme (LS-DEM) that takes advantage of a mathematical technique called level set (LS) to enable the inclusion of real grain shapes into a classical discrete element method. After calibrating LS-DEM with respect to real experimental results, we exploit part of its potential to study the dependency of critical state (CS) parameters such as the critical state line (CSL) slope, CSL intercept, and CS friction angle on the grain's morphology, i.e., sphericity, roundness, and regularity.

Finally, we introduce a first computational algorithm to ``clone'' the grain morphologies of a sample of real digital grains. This cloning algorithm allows us to generate an arbitrary number of cloned grains that satisfy the same morphological features (e.g., roundness and aspect ratio) displayed by their real parents and can be included into a DEM simulation of a given mechanical phenomenon. In turn, this will help with the development of discrete techniques that can directly predict the engineering scale behavior of granular media without resorting to phenomenology.

Approximate analytical description for fundamental-mode fields of graded-index fibers: Beyond the Gaussian approximation

An approximate analytical description for fundamental-mode fields of graded-index fibers is explicitly presented by use of the power-series expansion method, the maximum-value condition at the fiber axis, the decay properties of fundamental-mode fields at large distance from the fiber axis, and the approximate modal parameters U obtained from the Gaussian approximation. This analytical description is much more accurate than the Gaussian approximation and at the same time keep the simplicity of the latter. As two special examples, we present the approximate analytical formulas for the fundamental-mode fields of a step profile fiber and a Gaussian profile fiber, and we find that they are both highly accurate in the single-mode range by comparing them with the corresponding exact solutions.

TRANSFER OF ANALYTICAL METHODS FOR THE CHARACTERISATION OF NATURAL PRODUCTS TO R&D PROCESSES OF IDOKI

IDOKI SCF Technologies S.L. is a technology-based company, set up on September 2006 in Derio (Biscay) with the main scope of developing extraction and purification processes based on the use of supercritical fluid extraction technology (SFE) in food processing, extraction of natural products and the production of personal care products. IDOKI¿s researchers have been working on many different R&D projects so far, most of them using this technology. However, the optimization of a SFE method for the different matrices cannot be performed unless we have an analytical method for the characterisation of the extracts obtained in each experiment. The analytical methods are also essential for the quality control of the raw materials that are going to be used and also for the final product. This PhD thesis was born to tackle this problem and therefore, it is based on the development of different analytical methods for the characterisation of the extracts and products. The projects that we could include in this thesis were the following: the extraction propolis, the recovery of agroindustrial residues (soy and wine) and the dealcoholisation of wine.On the one hand, for the extraction of propolis, several UV-Vis spectroscopic methods were used in order to measure the antioxidant capacity and the total polyphenol and flavonoid content of the extracts. A SFC method was also developed in order to measure more specific phenolic compounds. On the other hand, for the recovery of agroindustrial residues UV-Vis spectroscopy was used to determine the total polyphenol content and two SFC methods were developed to analyse different phenolic compounds. Extraction methods such as MAE, FUSE and rotary agitation were also evaluated for the characterisation of the raw materials.Finally, for the dealcoholisation of wine, the development of a SBSE-TD-GC-MS and DHS-TD-GC-MS methods for the analysis of aromas and a NIR spectroscopic method for the determination of ethanol content with the help of chemometrics was necessary. Most of these methods are typically used in IDOKI¿s lab as routine analyses apart from others not included in this PhD thesis.

The analytical description and experiments of the optical bottle generated by an axicon and a lens

Based on the interferential theory, we deduce a new type of analytic expression suitable for describing the evolutions of the optical bottle beam generated from the axicon-lens optical system illuminated by the Gaussian beam for the first time. The theory does not use much approximation in the process of mathematical analysis and can better illustrate the optical bottle beam evolutions at any positions. With the derived expression, the three-dimensional (3D) longitudinal and transverse intensity profiles of the optical bottle beam are simulated numerically. The numerical calculations have been confirmed by the experimental results.

Judgmental-analytical procedures for adapting tests: Adaptation to Spanish of the Reasoning Tests Battery

Adapting a test between cultures or languages requires taking into account legal, linguistic, metric, and use-related considerations. Significantly more attention has been paid to the methodological aspects involved in the study of metric equivalence than to judgmental-analytical procedures prior to the empirical confirmation stage. However, considering the latter is crucial in the adaptation process. Along these lines, this paper seeks to describe and focus on the relevance of the previous stages, thereby offering a systematization process that comprises ten sections. This approach contributes to ensuring the construction of a test adapted and equivalent in as much as possible to the original. This process is exemplified by means of a Spanish language adaptation of a cognitive test originally designed in Portuguese for the Portuguese population, the Reasoning Test Battery. Copyright (C) 2013, Konrad Lorenz University Foundation. Published by Elsevier Espana, S.L.U.

Modular integration and on-chip sensing approaches for tunable fluid control polymer microdevices

228 p.

Analytical vectorial structure of hollow Gaussian beams in the far field

The analytical vectorial structure of HGB is investigated in the far field based on the vector plane wave spectrum and the method of stationary phase. The energy flux distributions of HGB in the far-field, which is composed of TE term and TM term, are demonstrated. The physics pictures of HGB is illustrated from the vectorial structure, which is important to understand the theoretical aspects of both scalar and vector HGB propagation. (c) 2008 Optical Society of America.

Análise da concordância entre o plano dietético Dietary Approaches to Stop Hypertension (DASH) e o padrão alimentar de pacientes hipertensos

A adoção do plano dietético Dietary Approaches to Stop Hypertension (DASH) tem sido enfatizado na população hipertensa como uma importante estratégia no controle dos níveis pressóricos elevados. O objetivo deste estudo foi analisar o consumo alimentar de macro e micronutrientes em pacientes hipertensos, em especial do sódio, cálcio, potássio e magnésio, e comparar com as recomendações dietéticas contidas no plano DASH. Estudo transversal envolvendo uma amostra de conveniência composta por 113 hipertensos entre 40 e 69 anos. A medida da pressão arterial (PA) foi determinada com aparelho eletrônico devidamente calibrado e a avaliação dietética obtida pelo questionário de freqüência do consumo alimentar. Os alimentos ingeridos foram convertidos em porções e distribuídos em diferentes grupos alimentares. A faixa de porções recomendadas pelo plano DASH foi determinada com base na média das necessidades energéticas desta amostra permitindo assim uma posterior comparação com o hábito alimentar dos hipertensos, utilizando um escore de pontos com pontuação máxima de 9 pontos. A amostra foi dividida em três grupos: grupo B que obteve 2,5 a 4,0 pontos (n=34; 30%), grupo M entre 4,5 a 5,0 pontos (n=43; 38%) e grupo A que obteve 5,5 a 8,0 pontos (n=36; 32%). Não foram observadas diferenças significativas na média da PA sistólica (14024 vs 13823 vs 13515 mmHg) e diastólica (8617 vs 8813 vs 8410 mmHg). Apesar do grupo A consumir mais proteínas e gordura monoinsaturada, foi detectado um excesso pronunciado na ingestão de gordura saturada, colesterol e das calorias totais, por este grupo de pacientes. No que tange a ingestão dos micronutrientes, o grupo A apresentou consumo significativamente maior de cálcio, potássio e magnésio, refletido pela maior ingestão de vegetais e frutas em comparação aos grupos B e M. A média de ingestão do sódio intrínseco foi significativamente maior no grupo A (4,12,0 vs 3,11,1 vs 2,71,1 g/dia). Foram detectadas, apenas no grupo A, correlações entre PA sistólica e o percentual de proteína (r = -0,5; p=0,002) e PA sistólica e o percentual de carboidrato (r = 0,4; p=0,02). Apenas um terço dos hipertensos avaliados apresentaram padrão alimentar mais concordante com o plano DASH e com maior ingestão de proteínas, gordura monoinsaturada, fibras, cálcio, potássio e magnésio. Entretanto, o consumo mais elevado de sódio, gordura saturada, colesterol e das calorias totais por este grupo de pacientes poderia restringir uma maior queda dos níveis pressóricos elevados.

Saúde Coletiva em debate: a brasilidade de muitos encontros

O Estado, em seus âmbitos econômico, político e social, tem papel decisivo na formulação das ciências. A ciência, que buscava explicar os fenômenos naturais, desenvolveu-se e desdobrou-se em diversas áreas e campos, buscando responder às complexas questões que fazem parte do mundo moderno. A saúde se coloca enquanto um desses campos complexos, que inicialmente compreendia a história das doenças e das condições de vida e teve que ser questionada à medida que somente essa teoria não mais justificava as complexas existências e modos de andar a vida. Especificamente a Saúde Coletiva no Brasil reinventou formas de responder aos inúmeros e complexos questionamentos que se colocam no âmbito da vida e das condições de vida. Assim, buscou-se explorar a trajetória históricopolítica-conceitual da constituição do campo da Saúde Coletiva no Brasil apoiado em uma metodologia que se utiliza de elementos analíticos da própria reflexão que o estudo traz, em um movimento de investigação denominado como entre-meios. São apresentadas as falas dos participantes, abordando episódios e reflexões sobre os acontecimentos que marcaram a história da Saúde Coletiva em nosso país, o que deu base para compor uma caixa de ferramenta para o desenvolvimento do estudo. Os diferentes significados da Saúde Coletiva foram apresentados a partir do material empírico, bem como de uma análise considerando outros olhares sobre o mesmo objeto, pela qual se buscou construir um olhar autoral sobre o objeto estudado. Além disso, após a busca de conceitos e teorias sobre os campos, foram apresentadas diferentes abordagens para a conceituação de campo, sendo que a caixa de ferramentas e as análises dos significantes antes expostos foram utilizados para construir algumas considerações e questões. Desenvolveu-se, através das bases de dados empíricos e teórico conceituais, uma análise sobre a Saúde Coletiva no Brasil para compreender o campo a partir de um olhar crítico sobre a cientifização das áreas de conhecimento. Considerando a singularidade de um campo ainda em transformação que se constituiu em um cenário político particular, onde a Reforma Sanitária Brasileira estava em construção compreendesse sua conformação enquanto um campo de saberes e práticas militantes, para a construção de novos paradigmas para explicar e intervir na saúde do povo brasileiro.