Eulerian quasisymmetric functions were introduced by Shareshian and Wachs in order to obtain a q-analog of Euler's exponential generating function formula for the Eulerian polynomials. They are defined via the symmetric group, and applying the stable and nonstable principal specializations yields formulas for joint distributions of permutation statistics. We consider the wreath product of the cyclic group with the symmetric group, also known as the group of colored permutations. We use this group to introduce colored Eulerian quasisymmetric functions, which are a generalization of Eulerian quasisymmetric functions. We derive a formula for the generating function of these colored Eulerian quasisymmetric functions, which reduces to a formula of Shareshian and Wachs for the Eulerian quasisymmetric functions. We show that applying the stable and nonstable principal specializations yields formulas for joint distributions of colored permutation statistics. The family of colored permutation groups includes the family of symmetric groups and the family of hyperoctahedral groups, also called the type A Coxeter groups and type B Coxeter groups, respectively. By specializing our formulas to these cases, they reduce to the Shareshian-Wachs q-analog of Euler's formula, formulas of Foata and Han, and a new generalization of a formula of Chow and Gessel.

A mathematical model for a consolidation process of a highlyconcentrated, flocculated suspension is developed.Thesuspension is treated as a mixture of a fluid and solidparticles by an Eulerian two-phase fluid model.W e characterizethe suspension by constitutive relations correlating thestresses, interaction forces, and inter-particle forces toconcentration and velocity gradients.This results in threeempirically determined material functions: a hystereticpermeability, a non-Newtonian viscosity and a non-reversibleparticle interaction pressure.P arameters in the models arefitted to experimental data. A simulation program using finite difference methods both intime and space is applied to one and two dimensional testcases.Numer ical experiments are performed to study the effectof different viscosity and permeability models. The effect ofshear on consolidation rate is studied and it is significantwhen the permeability hysteresis model is employed.

The shock compression of Reactive Particle Metal Mixtures (RPMMs) is studied at the microscale by direct numerical simulation. Mixture microstructures are rendered explicitly, providing spatial resolution of the coupled thermal, mechanical, and chemical responses at the particle level during shock compression. A polymer-bonded aluminum-iron oxide thermite system is the focus of this work; however, the computational methods developed here may be extended to other reactive particle systems. Shock waves are propagated through the mixtures in finite element simulations, where Eulerian formulations are used to handle the highly-dynamic nature of particulate shock compression. Thermo-mechano-chemical responses are computed for a set of mixture classes (20% and 50% epoxy content by weight) subjected to a range of dynamic loading conditions (particle velocities ranging from 0.300??00 km/s). Two critical sub-problems are addressed: (i) the calculation of Hugoniot data for variable mixture compositions and (ii) the prediction of sites that experience microscale reaction initiation. Hugoniot calculations are in excellent agreement with experimental data. Microscale reaction initiation sites are predicted in certain load cases for each mixture class, although such predictions cannot currently be validated by experimental methods.

<p>A mathematical model for a consolidation process of a highlyconcentrated, flocculated suspension is developed.Thesuspension is treated as a mixture of a fluid and solidparticles by an Eulerian two-phase fluid model.W e characterizethe suspension by constitutive relations correlating thestresses, interaction forces, and inter-particle forces toconcentration and velocity gradients.This results in threeempirically determined material functions: a hystereticpermeability, a non-Newtonian viscosity and a non-reversibleparticle interaction pressure.P arameters in the models arefitted to experimental data.</p><p>A simulation program using finite difference methods both intime and space is applied to one and two dimensional testcases.Numer ical experiments are performed to study the effectof different viscosity and permeability models. The effect ofshear on consolidation rate is studied and it is significantwhen the permeability hysteresis model is employed.</p>

This thesis presents several ways to understand transports of air and water masses in the atmosphere and ocean, and the transports of energy that they imply. It presents work using various kinds of observations as well as computer simulations of the atmosphere and oceans. One of the main focuses is to identify similarities and differences between models and observations, as well as between different models. The first half of the thesis applies Lagrangian methods to study flows in the atmosphere and oceans. Part of the work focuses on understanding how particles follow the currents in the Baltic Sea and how they disperse. It is suggested that the commonly used regional ocean model for the Baltic Sea, RCO, underestimates the transport and the dispersion of the particles, which can have consequences for studies of e.g. biogeochemistry as well as for operational use. A similar methodology is used to study how particles are transported between the tropics and mid-latitudes by the large-scale atmospheric circulation. It is found that the mass transport associated with northbound and southbound particles can cancel in the zonally averaged circulation, and we propose that the degree of cancellation depends on the method of averaging. The latter half of the thesis focuses on Eulerian stream functions and specifically a thermodynamic stream function that combines the zonal and meridional circulations of the atmosphere into a single circulation. The results are used to study the inter-annual variability of the intensity and thermodynamic properties of the global atmospheric circulation. A significant correlation to ENSO variability is found both in reanalysis and the EC-Earth coupled climate model. It is also shown that a set of models from the CMIP5 project show a slowdown of the atmospheric circulation as a result of global warming and associated changes in near-surface moisture content and upper-level radiative cooling. / Denna avhandling presenterar olika metoder för att studera datormodeller av atmosfä- ren, haven, och klimatsystemet. Metoderna använder såväl Lagrangeska synsätt dvs att betrakta atmosfären eller haven som individuella partiklar i rörelse, som Eulerska synsätt där atmosfären och haven ses som gas eller vätska i rörelse. I artikel 1 sjö- sätts ett antal “surface drifters” i Östersjön som driver fritt med havsströmmarna och vars hastighet mäts av satelliter. Genom att modellera Lagrangeska partiklars rörelser i Östersjön och jämföra med dessa “surface drifters” kan det visas att datormodeller kan underskatta både medelhastigheten av partiklarna samt deras utbredning. I ar- tikel 2 simuleras luftmassornas rörelser mellan tropikerna och mellanbreddgraderna (∼ 45◦N/S). Ett medelvärde över all longituder tenderar att ignorera betydande mass- och energitransporter mellan tropikerna och mellanbredderna, och dessa kvantifieras i detalj i artikel 2. Artiklarna 3 och 4 presenterar en metod för att studera atmosfärens storskaliga rörelser utifrån ett termodynamiskt perspektiv där luftmassornas värme och fukt studeras. Det visas att variationer ytvattentemperatur vid ekvatorn i Stilla havet kan få atmosfären att, i ett globalt medelvärde, bli fuktigare och varmare samtidigt som masstransporter- na saktar ner. På samma sätt visas att en global uppvärmning till följd av ökade utsläpp av växthusgaser kan få atmosfären att bli varmare, fuktigare och att masstransporterna kan sakta ner. / <p>At the time of the doctoral defence the following papers were unpublished and had a status as follows: Paper 3: In press; Paper 4: Manuscript.</p> / BalticWay

Orientador: Milton Mori / Tese (doutorado) - Universidade Estadual de Campinas, Faculdade de Engenharia Quimica / Made available in DSpace on 2018-08-09T09:36:46Z (GMT). No. of bitstreams: 1 Vegini_AtilanoAntonio_D.pdf: 28017713 bytes, checksum: b5c4951104b5d515ebe084a6388a6ea2 (MD5) Previous issue date: 2007 / Resumo: Neste trabalho é apresentado o código computacional CYCLO, programa desenvolvido especificamente para predizer o escoamento multifásico em ciclones. Os ciclones são equipamentos utilizados na indústria, principalmente, para a separação de material particulado de correntes gasosas. Desde o início da industrialização até a atualidade, os ciclones são investigados cientificamente na tentativa de elucidar o real funcionamento deste complexo sistema de escoamento que ocorre no interior destes equipamentos. Com o avanço computacional, as modernas técnicas da fluidodinâmica computacional (CFD), têm se mostrado capaz de auxiliar nas investigações científicas sobre os ciclones. O código CYCLO, é um destes programas baseado nas técnicas da fluidodinâmica computacional (CFD). Consiste de um modelo multifásico num referencial euleriano, e composto de equações diferenciais parciais que são resolvidas numericamente através da aplicação do método dos volumes finitos, com acoplamento pressão-velocidade e malha numérica deslocada. A hipótese de simetria no eixo é assumida, tornando possível a utilização de um modelo 3DSimétrico em coordenadas cilíndricas. O código CYCLO torna possível à utilização de até três fases sólidas, cada uma caracterizada por seu tamanho de partícula, massa específica e fração volumétrica. O escoamento da fase sólida é considerado invíscido e a transferência de quantidade de movimento interfase predito pela adoção de um modelo de força de arraste. Para representar o comportamento anisotrópico dos tensores de Reynolds na fase gasosa, é utilizado um modelo de turbulência híbrido composto por uma combinação do modelo k-e padrão para os componentes radiais e axiais do tensor de Reynolds, e, para os componentes tangenciais por intermédio da teoria do comprimento de mistura de Prandtl. Os objetivos deste trabalho vão desde a verificação e validação do código CYCLO com seu modelo multifásico euleriano-euleriano e todas suas hipóteses simplificadoras, até a apresentação de aplicações práticas do uso das técnicas de CFD. Para a verificação e validação do código, os resultados obtidos numericamente são comparados com valores experimentais para o escoamento monofásico e para o escoamento multifásico. Como exemplo de aplicação prática das técnicas de CFD, é apresentado a utilização do código na análise e projeto de ciclones industriais / Abstract: In this work it is presented the computational code CYCLO, which is a program developed specifically to predict the dynamic behavior of the gas-solid flow in cyclones. The cyclones have been used extensively in many industries for a long time for separating the particles from gaseous streams. Since the beginning of the industrialization until the present time, the cyclones are investigated scientifically in order to elucidate the real functioning of this complex flow behavior inside of these equipments. With the computational advance, the modern techniques of the computational fluid dynamics (CFD), has been capable to assist in the scientific inquiries concerning cyclones. The CYCLO code is one of these programs based on computational fluid dynamics (CFD) techniques. The program consists of a multiphase flow model based on the Eulerian-Eulerian approach and it is composed of several partial differential equations, which are solved using the finite volume method with pressure-velocity coupling and staggered grids. The axial symmetry hypothesis is assumed, which makes possible to apply the 3D symmetric model in cylindrical coordinate. The CYCLO code makes possible the use of up to three solid phases, each one represented by a particle diameter, density and specific volumetric fraction. The solid-phase flow is considered inviscid and drag forces between phases are responsible for the gas-solid interaction. To represent an anisotropic behavior of the Reynolds stress in the gas phase, it is used a hybrid model composed of the combination of the (k-e) standard model for the radial and axial components and Prandt¿s longitudinal mixing model for the tangential components. The purpose of the present study is to verify and validate the model used by the CYCLO code and to show practical applications of the use of CFD techniques. In order to verify and validate the code, numerical results were compared with experimental data for gas and gas-solid flows. As practical examples of application of CFD techniques, the code was used to the analysis and design of industrial cyclones / Doutorado / Desenvolvimento de Processos Químicos / Doutor em Engenharia Química

Orientadores: Celia Picinin de Mello, Anamaria Gomide / Dissertação (mestrado profissional) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica / Made available in DSpace on 2018-08-26T19:50:54Z (GMT). No. of bitstreams: 1 Vulcani_RenatadeLacerdaMartins_M.pdf: 2431212 bytes, checksum: 702947f1e783d410ef77eb0234852d6a (MD5) Previous issue date: 2015 / Resumo: Neste trabalho apresentamos uma breve introdução à teoria dos grafos, elucidando alguns conceitos básicos e destacando grafos eulerianos. Usamos o conceito de grafos eulerianos para resolver alguns passatempos e jogos conhecidos. Finalizamos apresentando algumas aplicações que envolvem grafos que não são necessariamente eulerianos / Abstract: In this work we present a brief introduction to graph theory, explaining some basic concepts and highlighting eulerians graphs. We use the concept of eulerians graphs to solve some well known puzzles and games. We finalize by presenting some applications involving graphs that are not necessarily eulerians / Mestrado / Matemática em Rede Nacional / Mestra

Eulerian graphs have a closed walk traversing each edge exactly once. Finding such a walk is a basic arc routing problem based on a road network. Most of the problems with applications in operational research are NP-hard. We describe a formal model of a road network and vehicle routes and formulate several arc routing problems motivated by winter road maintenance in the Czech Republic. The main part is focused on single vehicle routing problems on trees. We propose a new unfairness minimization problem for finding a vehicle route with properties that lead to a minimal number of resident complaints against unfair maintenance. Residents feel like they are skipped when the vehicle route has multiple trips and passes nearby without providing maintenance to their street. By reduction of the necklace splitting problem to the unfairness minimization problem we prove it is PPA-complete. Further, we define a restricted arc routing problem on trees which formalize condi- tions given by Czech legislation. We proved the existence of a polynomial algorithm for deciding whether a single vehicle route exists when there is a single priority for roads. If multiple priorities are used, we express conditions and conjectures when the problem has polynomial complexity. Finally, a utilization of the model is illustrated by an...

The purpose of this study is to compare two possible methods of computational modeling of straightening long profiles. The study presents fundamentals of the straightening process, basic principles of the finite element method and the principle of fast algorithm based on Eulerian description of motion of continuum. The study investigates how the two methods are computationally demanding and precise. Finally, the acquired results are summarised and the effectiveness of both algorithms is assessed.

Neural Networks are at the core of computer vision solutions for various applications. With the advent of deep neural networks Facial Expression Recognition (FER) has been a very ineluctable and challenging task in the field of computer vision. Micro-expressions (ME) have been quite prominently used in security, psychotherapy, neuroscience and have a wide role in several related disciplines. However, due to the subtle movements of facial muscles, the micro-expressions are difficult to detect and identify. Due to the above, emotion detection and classification have always been hot research topics. The recently adopted networks to train FERs are yet to focus on issues caused due to overfitting, effectuated by insufficient data for training and expression unrelated variations like gender bias, face occlusions and others. Association of FER with the Speech Emotion Recognition (SER) triggered the development of multimodal neural networks for emotion classification in which the application of sensors played a significant role as they substantially increased the accuracy by providing high quality inputs, further elevating the efficiency of the system. This thesis relates to the exploration of different principles behind application of deep neural networks with a strong focus towards Convolutional Neural Networks (CNN) and Generative Adversarial Networks (GAN) in regards to their applications to emotion recognition. A Motion Magnification algorithm for ME's detection and classification was implemented for applications requiring near real-time computations. A new and improved architecture using a Multimodal Network was implemented. In addition to the motion magnification technique for emotion classification and extraction, the Multimodal algorithm takes the audio-visual cues as inputs and reads the MEs on the real face of the participant. This feature of the above architecture can be deployed while administering interviews, or supervising ICU patients in hospitals, in the auto industry, and many others. The real-time emotion classifier based on state-of-the-art Image-Avatar Animation model was tested on simulated subjects. The salient features of the real-face are mapped on avatars that are build with a 3D scene generation platform. In pursuit of the goal of emotion classification, the Image Animation model outperforms all baselines and prior works. Extensive tests and results obtained demonstrate the validity of the approach.