Study of Periodic and Quasi-Periodic Structures in Silicon-on-Insulator

In this thesis, a numerical design approach has been proposed and developed based on the transmission matrix method in order to characterize periodic and quasi-periodic photonic structures in silicon-on-insulator. The approach and its performance have been extensively tested with specific structures in 2D and its validity has been verified in 3D.

A Force-Balanced Control Volume Finite Element Method for Multi-Phase Porous Media Flow Modelling

Peer reviewed

Designing Short Term Wave Traces to Assess Wave Power Devices

In recent years modern numerical methods have been employed in the design of Wave Energy Converters (WECs), however the high computational costs associated with their use makes it prohibitive to undertake simulations involving statistically relevant numbers of wave cycles. Experimental tests in wave tanks could also be performed more efficiently and economically if short time traces, consisting of only a few wave cycles, could be used to evaluate the hydrodynamic characteristics of a particular device or design modification. Ideally, accurate estimations of device performance could be made utilizing results obtained from investigations with a relatively small number of wave cycles. However the difficulty here is that many WECs, such as the Oscillating Wave Surge Converter (OWSC), exhibit significant non-linearity in their response. Thus it is challenging to make accurate predictions of annual energy yield for a given spectral sea state using short duration realisations of that sea. This is because the non-linear device response to particular phase couplings of sinusoidal components within those time traces might influence the estimate of mean power capture obtained. As a result it is generally accepted that the most appropriate estimate of mean power capture for a sea state be obtained over many hundreds (or thousands) of wave cycles. This ensures that the potential influence of phase locking is negligible in comparison to the predictions made. In this paper, potential methods of providing reasonable estimates of relative variations in device performance using short duration sea states are introduced. The aim of the work is to establish the shortness of sea state required to provide statistically significant estimations of the mean power capture of a particular type of Wave Energy Converter. The results show that carefully selected wave traces can be used to reliably assess variations in power output due to changes in the hydrodynamic design or wave climate. 

Modeling of Turbulent Natural Gas and Biogas Flames of the Delft Jet-in-Hot-Coflow Burner: Effects of Coflow Temperature, Fuel Temperature and Fuel Composition on the Flame Lift-Off Height

The structure of a turbulent non-premixed flame of a biogas fuel in a hot and diluted coflow mimicking moderate and intense low dilution (MILD) combustion is studied numerically. Biogas fuel is obtained by dilution of Dutch natural gas (DNG) with CO2. The results of biogas combustion are compared with those of DNG combustion in the Delft Jet-in-Hot-Coflow (DJHC) burner. New experimental measurements of lift-off height and of velocity and temperature statistics have been made to provide a database for evaluating the capability of numerical methods in predicting the flame structure. Compared to the lift-off height of the DNG flame, addition of 30 % carbon dioxide to the fuel increases the lift-off height by less than 15 %. Numerical simulations are conducted by solving the RANS equations using Reynolds stress model (RSM) as turbulence model in combination with EDC (Eddy Dissipation Concept) and transported probability density function (PDF) as turbulence-chemistry interaction models. The DRM19 reduced mechanism is used as chemical kinetics with the EDC model. A tabulated chemistry model based on the Flamelet Generated Manifold (FGM) is adopted in the PDF method. The table describes a non-adiabatic three stream mixing problem between fuel, coflow and ambient air based on igniting counterflow diffusion flamelets. The results show that the EDC/DRM19 and PDF/FGM models predict the experimentally observed decreasing trend of lift-off height with increase of the coflow temperature. Although more detailed chemistry is used with EDC, the temperature fluctuations at the coflow inlet (approximately 100K) cannot be included resulting in a significant overprediction of the flame temperature. Only the PDF modeling results with temperature fluctuations predict the correct mean temperature profiles of the biogas case and compare well with the experimental temperature distributions.

Modélisation d'éléments finis pour les interactions fluide-structure

Cette thèse concerne la modélisation des interactions fluide-structure et les méthodes numériques qui s’y rattachent. De ce fait, la thèse est divisée en deux parties. La première partie concerne l’étude des interactions fluide-structure par la méthode des domaines fictifs. Dans cette contribution, le fluide est incompressible et laminaire et la structure est considérée rigide, qu’elle soit immobile ou en mouvement. Les outils que nous avons développés comportent la mise en oeuvre d’un algorithme fiable de résolution qui intégrera les deux domaines (fluide et solide) dans une formulation mixte. L’algorithme est basé sur des techniques de raffinement local adaptatif des maillages utilisés permettant de mieux séparer les éléments du milieu fluide de ceux du solide que ce soit en 2D ou en 3D. La seconde partie est l’étude des interactions mécaniques entre une structure flexible et un fluide incompressible. Dans cette contribution, nous proposons et analysons des méthodes numériques partitionnées pour la simulation de phénomènes d’interaction fluide-structure (IFS). Nous avons adopté à cet effet, la méthode dite «arbitrary Lagrangian-Eulerian» (ALE). La résolution fluide est effectuée itérativement à l’aide d’un schéma de type projection et la structure est modélisée par des modèles hyper élastiques en grandes déformations. Nous avons développé de nouvelles méthodes de mouvement de maillages pour aboutir à de grandes déformations de la structure. Enfin, une stratégie de complexification du problème d’IFS a été définie. La modélisation de la turbulence et des écoulements à surfaces libres ont été introduites et couplées à la résolution des équations de Navier-Stokes. Différentes simulations numériques sont présentées pour illustrer l’efficacité et la robustesse de l’algorithme. Les résultats numériques présentés attestent de la validité et l’efficacité des méthodes numériques développées.

Convection-diffusion in MHD: Comparison of primitive variable and vector potential solutions of the magnetic induction equation

Abstract not available

Coupled diusion and mechanics in battery electrodes

Thesis (Ph.D.)--University of Washington, 2016-08

Parallelisation of a 3-D electromagnetic scattering code

A high-frequency time domain finite element scattering code using a combination of edge and piecewise constant elements on unstructured tetrahedral meshes is described. A comparison of computation with theory is given for scattering from a sphere. A parallel implementation making use of the bulk synchronous parallel (BSP) programming model is described in detail; a BSP performance model of the parallelized field calculation is derived and compared to timing measurements on up to 128 processors on a Cray T3D.

Optimal static and sequential design : a critical review

The aim of this thesis is to review and augment the theory and methods of optimal experimental design. In Chapter I the scene is set by considering the possible aims of an experimenter prior to an experiment, the statistical methods one might use to achieve those aims and how experimental design might aid this procedure. It is indicated that, given a criterion for design, a priori optimal design will only be possible in certain instances and, otherwise, some form of sequential procedure would seem to be indicated. In Chapter 2 an exact experimental design problem is formulated mathematically and is compared with its continuous analogue. Motivation is provided for the solution of this continuous problem, and the remainder of the chapter concerns this problem. A necessary and sufficient condition for optimality of a design measure is given. Problems which might arise in testing this condition are discussed, in particular with respect to possible non-differentiability of the criterion function at the design being tested. Several examples are given of optimal designs which may be found analytically and which illustrate the points discussed earlier in the chapter. In Chapter 3 numerical methods of solution of the continuous optimal design problem are reviewed. A new algorithm is presented with illustrations of how it should be used in practice. It is shown that, for reasonably large sample size, continuously optimal designs may be approximated to well by an exact design. In situations where this is not satisfactory algorithms for improvement of this design are reviewed. Chapter 4 consists of a discussion of sequentially designed experiments, with regard to both the philosophies underlying, and the application of the methods of, statistical inference. In Chapter 5 we criticise constructively previous suggestions for fully sequential design procedures. Alternative suggestions are made along with conjectures as to how these might improve performance. Chapter 6 presents a simulation study, the aim of which is to investigate the conjectures of Chapter 5. The results of this study provide empirical support for these conjectures. In Chapter 7 examples are analysed. These suggest aids to sequential experimentation by means of reduction of the dimension of the design space and the possibility of experimenting semi-sequentially. Further examples are considered which stress the importance of the use of prior information in situations of this type. Finally we consider the design of experiments when semi-sequential experimentation is mandatory because of the necessity of taking batches of observations at the same time. In Chapter 8 we look at some of the assumptions which have been made and indicate what may go wrong where these assumptions no longer hold.

Avaliação do desempenho de fundações em edificação no DF com a utilização de técnicas de interação solo-estrutura

Dissertação (mestrado)—Universidade de Brasília, Faculdade de Tecnologia, Departamento de Engenharia Civil e Ambiental, 2015.

A Caputo fractional derivative of a function with respect to another function

In this paper we consider a Caputo type fractional derivative with respect to another function. Some properties, like the semigroup law, a relationship between the fractional derivative and the fractional integral, Taylor’s Theorem, Fermat’s Theorem, etc., are studied. Also, a numerical method to deal with such operators, consisting in approximating the fractional derivative by a sum that depends on the first-order derivative, is presented. Relying on examples, we show the efficiency and applicability of the method. Finally, an application of the fractional derivative, by considering a Population Growth Model, and showing that we can model more accurately the process using different kernels for the fractional operator is provided.

Fractional differential equations with dependence on the Caputo-Katugampola derivative

In this paper we present a new type of fractional operator, the Caputo–Katugampola derivative. The Caputo and the Caputo–Hadamard fractional derivatives are special cases of this new operator. An existence and uniqueness theorem for a fractional Cauchy type problem, with dependence on the Caputo–Katugampola derivative, is proven. A decomposition formula for the Caputo–Katugampola derivative is obtained. This formula allows us to provide a simple numerical procedure to solve the fractional differential equation.

Influência de feixes de condutores em linhas de transmissão UAT CA

Dissertação (mestrado)—Universidade de Brasília, Faculdade de Tecnologia, Departamento de Engenharia Elétrica, 2015.

Dimensionamento de uma estrutura de contenção de terras flexível com vários níveis de apoio

O presente trabalho, no âmbito de projeto final de curso de metrado em Engenharia da Construção, teve como objetivo o estudo do comportamento de estruturas de suporte de terras flexíveis multi-apoiadas (com diferentes tipos de apoio) para dois tipos solos homogéneos. Recorreu-se às teorias clássicas, como a de Rankine, desenvolvidas para estruturas de suporte de terras rígidas. Às teorias semi-empíricas de Terzaghi & Peck que culminaram nos diagramas de Terzaghi & Peck. Apesar de os digramas de Terzaghi & Peck serem diagramas de pressões de terras a usar em estruturas de suporte de terras flexíveis, apresentam algumas limitações importantes, como a sua aplicação apenas em solos heterogéneos, com presença ou não de níveis freáticos, e sem fornecer distribuição das pressões de terras na zona passiva (zona enterrada). Como na atualidade os modelos de elementos finitos permitem simular de modo muito mais rigoroso os problemas da engenharia. O presente trabalho esteve focado em analisar um caso prático em diferentes solos e com diferentes tipos de apoios. Será estudado mediante os métodos analíticos usando as teorias clássicas e posteriormente métodos numéricos (com diferentes programas de cálculo). Finalmente serão comparados os resultados obtidos mediante os diferentes métodos usados. As estruturas foram inicialmente pré-dimensionadas usando os métodos clássicos. Assim foram usados os diagramas de pressões de terras de Terzaghi & Peck para a zona ativa (zona em escavação) e a teoria de Rankine para conhecer as pressões de terras na zona enterrada da cortina (parede moldada) e recorrendo ao software Ftool para a obtenção dos parâmetros de dimensionamento de estruturas de suporte de terras objeto de estudo. Posteriormente utilizaram-se os programas de cálculo automático CYPE 2015 k, e o programa de cálculo de elementos finitos PLAXIS Introductory 2010. Estes programas permitem simular o faseamento construtivo do muro. Para estudar a influência de algúns parâmetros no comportamento da Resumo IV cortina o estudo foi realizado com dois solos distintos, um solo argiloso mole e um solo arenoso denso. Assim como para dois tipos de apoios distintos, ancoragens ativas e escoras passivas. Foram analisados diferentes parâmetros na estrutura de suporte; pressões horizontais das terras, deslocamentos horizontais, esforço axial, transverso e momento fletor.

Caracterização analítica e geométrica da metodologia geral de determinação de distribuições de Weibull para o regime eólico e suas aplicações

O regime eólico de uma região pode ser descrito por distribuição de frequências que fornecem informações e características extremamente necessárias para uma possível implantação de sistemas eólicos de captação de energia na região e consequentes aplicações no meio rural em regiões afastadas. Estas características, tais como a velocidade média anual, a variância das velocidades registradas e a densidade da potência eólica média horária, podem ser obtidas pela frequência de ocorrências de determinada velocidade, que por sua vez deve ser estudada através de expressões analíticas. A função analítica mais adequada para distribuições eólicas é a função de densidade de Weibull, que pode ser determinada por métodos numéricos e regressões lineares. O objetivo deste trabalho é caracterizar analítica e geometricamente todos os procedimentos metodológicos necessários para a realização de uma caracterização completa do regime eólico de uma região e suas aplicações na região de Botucatu - SP, visando a determinar o potencial energético para implementação de turbinas eólicas. Assim, foi possível estabelecer teoremas relacionados com a forma de caracterização do regime eólico, estabelecendo a metodologia concisa analiticamente para a definição dos parâmetros eólicos de qualquer região a ser estudada. Para o desenvolvimento desta pesquisa, utilizou-se um anemômetro da CAMPBELL.