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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
11

A posteriori error estimation for convection dominated problems on anisotropic meshes

Kunert, Gerd 22 March 2002 (has links) (PDF)
A singularly perturbed convection-diffusion problem in two and three space dimensions is discretized using the streamline upwind Petrov Galerkin (SUPG) variant of the finite element method. The dominant convection frequently gives rise to solutions with layers; hence anisotropic finite elements can be applied advantageously. The main focus is on a posteriori energy norm error estimation that is robust in the perturbation parameter and with respect to the mesh anisotropy. A residual error estimator and a local problem error estimator are proposed and investigated. The analysis reveals that the upper error bound depends on the alignment of the anisotropies of the mesh and of the solution. Hence reliable error estimation is possible for suitable anisotropic meshes. The lower error bound depends on the problem data via a local mesh Peclet number. Thus efficient error estimation is achieved for small mesh Peclet numbers. Altogether, error estimation approaches for isotropic meshes are successfully extended to anisotropic elements. Several numerical experiments support the analysis.
12

The robustness of the hierarchical a posteriori error estimator for reaction-diffusion equation on anisotropic meshes

Grosman, Serguei 01 September 2006 (has links) (PDF)
Singularly perturbed reaction-diffusion problems exhibit in general solutions with anisotropic features, e.g. strong boundary and/or interior layers. This anisotropy is reflected in the discretization by using meshes with anisotropic elements. The quality of the numerical solution rests on the robustness of the a posteriori error estimator with respect to both the perturbation parameters of the problem and the anisotropy of the mesh. The simplest local error estimator from the implementation point of view is the so-called hierarchical error estimator. The reliability proof is usually based on two prerequisites: the saturation assumption and the strengthened Cauchy-Schwarz inequality. The proofs of these facts are extended in the present work for the case of the singularly perturbed reaction-diffusion equation and of the meshes with anisotropic elements. It is shown that the constants in the corresponding estimates do neither depend on the aspect ratio of the elements, nor on the perturbation parameters. Utilizing the above arguments the concluding reliability proof is provided as well as the efficiency proof of the estimator, both independent of the aspect ratio and perturbation parameters.
13

Modelling the Geometric Structure of the Magnetic Field in the Nightside Magnetosphere

2013 March 1900 (has links)
In this thesis, a simple model of the stretched magnetic field lines in the nightside magnetotail was created. The nightside magnetosphere model contains four main regions: plasmasphere, plasma sheet, magnetic lobes, and low latitude boundary layers. The plasma sheet is split into three regions based on the shape of the closed field lines present: dipole plasma sheet, transition plasma sheet, and stretched plasma sheet (SPS). The SPS, the focus of this thesis, is split into two regions: disruption zones (DZs) and a central neutral sheet (NS). The shape of the stretched field lines contain four inflection points. The convex curvature regions form the DZs and the central concave curvature region forms the NS. The NS is split into two regions: outer neutral sheet (ONS) and inner neutral sheet (INS). Due to the reversal of the x-component of the magnetic field at the center line of the NS, the protons are magnetized in the ONS and "unmagnetized" in the INS. There are two main current systems in the SPS. The first is a double vortex current system consisting of eastward current in the DZs that closes westward in the NS. The second system is the NS field-aligned current (FAC) system. It is generated in the INS mainly by the earthward convective drift of the electrons while the "unmagnetized" protons have little convective drift and remain tailward of the electrons. This FAC system produces the pre-onset electron auroral arc during the growth phase of the substorm. A simple model of the stretched magnetic field lines was created in order to calculate the current systems present in the SPS. The simple model was based entirely upon the shape of the stretched field lines. It passed two physical tests, divergence of the magnetic field and limits at infinity, so it was used to calculate currents. The total current using Ampere's law and the curvature current was found. Both results agreed with the double vortex current system.
14

Estudo experimental e teórico de chamas em escoamento de estagnação imersas em meios porosos inertes

Roldo, Ismael January 2015 (has links)
O interesse no desenvolvimento de sistemas eficientes de combustão para reduzir a poluição ambiental e aumentar a eficiência de queima tem chamado a atenção para a combustão em meios porosos inertes. A recirculação de calor, induzida pela matriz sólida a partir dos produtos quentes para os reagentes frios, aumenta a temperatura da chama melhorando a sua estabilidade e permitindo a utilização de combustíveis com baixo poder calorífico. Um estudo teórico recente mostra que uma chama estabilizada por um plano de estagnação imersa em um meio poroso pode, sob certas condições, estender os limites de inflamabilidade de uma mistura de ar e combustível. Por outro lado, o plano de estagnação é um problema que simula o efeito da taxa de deformação do escoamento sobre a estabilidade da chama, o que é relevante para várias configurações de queimador poroso. Portanto, o foco deste trabalho é o estudo da combustão em um queimador poroso com um plano de estagnação. Um experimento é conduzido com empacotamento de esferas, onde uma chama pode ser estabilizada por plano de estagnação devido a um anteparo. A razão de equivalência e a taxa de deformação são controladas pelos fluxos de ar e de combustível e da distância entre injetor e anteparo. A posição da chama é aproximadamente determinada pelo campo de temperaturas medidas por termopares. Complementarmente é realizada uma análise numérica simplificada do problema na qual se pode verificar o efeito da taxa de deformação sobre a estabilidade de chamas em queimadores porosos. Os resultados mostram que é possível estabilizar chamas no interior do meio poroso com plano de estagnação, porém, não foi possível atribuir um aumento de temperatura devido ao aumento da taxa de deformação. / The interest in developing efficient combustion systems to reduce environmental pollution and increase the burning efficiency has called attention to the combustion in inert porous media. The heat recirculation, induced by the solid matrix, from the hot products to the incoming cold reactants, increases the flame temperature and improves its stability, allowing for the use of fuels with low heat content. A recent study shows theoretically that a flame stabilized by a stagnation plane immersed in a porous medium may, under certain conditions, to extend the flammability limits of a mixture of fuel and air. On the other hand, the stagnation plane imposes a certain strain rate on the flow field, which is relevant to various porous burner configurations. Therefore, the focus of this work is the study of combustion in a porous burner with a stagnation plane. An experiment is conducted with packing bed of spheres where a flame can be stabilized against a stagnation plane. The equivalence ratio and the strain rate are controlled by the flows of air and fuel and the distance between the injector and the stagnation plane. The flame position is approximately determined by the temperature field measured by thermocouples. In addition, it is performed a simplified numerical analysis of the problem in which one can see the effect of the strain rate on the stability of flames in porous burners. The results show that it is possible to stabilize flames within the porous medium with stagnation plane, however, it has not been possible to assign a temperature increase due to the increased strain rate.
15

Estudo experimental e teórico de chamas em escoamento de estagnação imersas em meios porosos inertes

Roldo, Ismael January 2015 (has links)
O interesse no desenvolvimento de sistemas eficientes de combustão para reduzir a poluição ambiental e aumentar a eficiência de queima tem chamado a atenção para a combustão em meios porosos inertes. A recirculação de calor, induzida pela matriz sólida a partir dos produtos quentes para os reagentes frios, aumenta a temperatura da chama melhorando a sua estabilidade e permitindo a utilização de combustíveis com baixo poder calorífico. Um estudo teórico recente mostra que uma chama estabilizada por um plano de estagnação imersa em um meio poroso pode, sob certas condições, estender os limites de inflamabilidade de uma mistura de ar e combustível. Por outro lado, o plano de estagnação é um problema que simula o efeito da taxa de deformação do escoamento sobre a estabilidade da chama, o que é relevante para várias configurações de queimador poroso. Portanto, o foco deste trabalho é o estudo da combustão em um queimador poroso com um plano de estagnação. Um experimento é conduzido com empacotamento de esferas, onde uma chama pode ser estabilizada por plano de estagnação devido a um anteparo. A razão de equivalência e a taxa de deformação são controladas pelos fluxos de ar e de combustível e da distância entre injetor e anteparo. A posição da chama é aproximadamente determinada pelo campo de temperaturas medidas por termopares. Complementarmente é realizada uma análise numérica simplificada do problema na qual se pode verificar o efeito da taxa de deformação sobre a estabilidade de chamas em queimadores porosos. Os resultados mostram que é possível estabilizar chamas no interior do meio poroso com plano de estagnação, porém, não foi possível atribuir um aumento de temperatura devido ao aumento da taxa de deformação. / The interest in developing efficient combustion systems to reduce environmental pollution and increase the burning efficiency has called attention to the combustion in inert porous media. The heat recirculation, induced by the solid matrix, from the hot products to the incoming cold reactants, increases the flame temperature and improves its stability, allowing for the use of fuels with low heat content. A recent study shows theoretically that a flame stabilized by a stagnation plane immersed in a porous medium may, under certain conditions, to extend the flammability limits of a mixture of fuel and air. On the other hand, the stagnation plane imposes a certain strain rate on the flow field, which is relevant to various porous burner configurations. Therefore, the focus of this work is the study of combustion in a porous burner with a stagnation plane. An experiment is conducted with packing bed of spheres where a flame can be stabilized against a stagnation plane. The equivalence ratio and the strain rate are controlled by the flows of air and fuel and the distance between the injector and the stagnation plane. The flame position is approximately determined by the temperature field measured by thermocouples. In addition, it is performed a simplified numerical analysis of the problem in which one can see the effect of the strain rate on the stability of flames in porous burners. The results show that it is possible to stabilize flames within the porous medium with stagnation plane, however, it has not been possible to assign a temperature increase due to the increased strain rate.
16

Estudo experimental e teórico de chamas em escoamento de estagnação imersas em meios porosos inertes

Roldo, Ismael January 2015 (has links)
O interesse no desenvolvimento de sistemas eficientes de combustão para reduzir a poluição ambiental e aumentar a eficiência de queima tem chamado a atenção para a combustão em meios porosos inertes. A recirculação de calor, induzida pela matriz sólida a partir dos produtos quentes para os reagentes frios, aumenta a temperatura da chama melhorando a sua estabilidade e permitindo a utilização de combustíveis com baixo poder calorífico. Um estudo teórico recente mostra que uma chama estabilizada por um plano de estagnação imersa em um meio poroso pode, sob certas condições, estender os limites de inflamabilidade de uma mistura de ar e combustível. Por outro lado, o plano de estagnação é um problema que simula o efeito da taxa de deformação do escoamento sobre a estabilidade da chama, o que é relevante para várias configurações de queimador poroso. Portanto, o foco deste trabalho é o estudo da combustão em um queimador poroso com um plano de estagnação. Um experimento é conduzido com empacotamento de esferas, onde uma chama pode ser estabilizada por plano de estagnação devido a um anteparo. A razão de equivalência e a taxa de deformação são controladas pelos fluxos de ar e de combustível e da distância entre injetor e anteparo. A posição da chama é aproximadamente determinada pelo campo de temperaturas medidas por termopares. Complementarmente é realizada uma análise numérica simplificada do problema na qual se pode verificar o efeito da taxa de deformação sobre a estabilidade de chamas em queimadores porosos. Os resultados mostram que é possível estabilizar chamas no interior do meio poroso com plano de estagnação, porém, não foi possível atribuir um aumento de temperatura devido ao aumento da taxa de deformação. / The interest in developing efficient combustion systems to reduce environmental pollution and increase the burning efficiency has called attention to the combustion in inert porous media. The heat recirculation, induced by the solid matrix, from the hot products to the incoming cold reactants, increases the flame temperature and improves its stability, allowing for the use of fuels with low heat content. A recent study shows theoretically that a flame stabilized by a stagnation plane immersed in a porous medium may, under certain conditions, to extend the flammability limits of a mixture of fuel and air. On the other hand, the stagnation plane imposes a certain strain rate on the flow field, which is relevant to various porous burner configurations. Therefore, the focus of this work is the study of combustion in a porous burner with a stagnation plane. An experiment is conducted with packing bed of spheres where a flame can be stabilized against a stagnation plane. The equivalence ratio and the strain rate are controlled by the flows of air and fuel and the distance between the injector and the stagnation plane. The flame position is approximately determined by the temperature field measured by thermocouples. In addition, it is performed a simplified numerical analysis of the problem in which one can see the effect of the strain rate on the stability of flames in porous burners. The results show that it is possible to stabilize flames within the porous medium with stagnation plane, however, it has not been possible to assign a temperature increase due to the increased strain rate.
17

Avaliação da qualidade dos queijos Minas Frescal e tipo Mussarela produzidos com leite contendo diferentes níveis de células somáticas / Evaluation of Minas Frescal and Mozzarella type cheeses manufactured from milk containing different somatic cell counts

Evelise Andreatta 10 March 2006 (has links)
O presente estudo teve por finalidade avaliar os efeitos da contagem de células somáticas (CCS) no leite cru (nos níveis de 100-200.000, 400-500.000 e >800.000 céls./mL) sobre as características físicas, químicas, microbiológicas, sensoriais e funcionais dos queijos Minas Frescal e tipo Mussarela. Utilizou-se um delineamento experimental em parcelas subdivididas em blocos, considerando-se a contagem de células somáticas como efeito principal, os dias de análise como subparcelas e os processamentos como blocos. Cada tipo de leite foi obtido da ordenha de animais previamente selecionados de acordo com o nível de células somáticas. As etapas de elaboração dos queijos incluíram a pasteurização do leite (65º C, 30 minutos), adição de cloreto de cálcio, fermento (para a Mussarela) e coalho, coagulação e obtenção do coágulo, dessoragem, salga na massa, filagem, moldagem, salga na salmoura (para a Mussarela), e embalagem dos produtos. Os queijos foram mantidos em B.O.D. a 4 ºC e avaliados nos dias 2, 9, 16, 23 e 30 após a fabricação. A seqüência de elaboração dos queijos Minas e tipo Mussarela foi repetida 5 e 3 vezes, respectivamente, para cada tratamento. As análises realizadas nos queijos foram: pH, acidez, percentuais de gordura, matéria seca (MS), cinzas, nitrogênio total (NT), nitrogênio não protéico (NNP), nitrogênio não caseinoso (NNC), índice de proteólise, ácidos graxos livres (AGL), textura, avaliação sensorial, propriedades funcionais (capacidade de derretimento a 107 ºC e percentual de óleo livre - somente no queijo tipo Mussarela), contagem de mesófilos, psicrotróficos e número mais provável a 35 e 45 ºC. No queijo Minas Frescal, não houve interação entre CCS e dias de armazenamentos nas avaliações físico-químicas, microbiológicas, funcionais e índice de lipólise, porém houve efeito significativo (P<0,05) para índices de proteólise e profundidade da proteólise. Já para mesófilos, psicrotróficos, acidez, matéria seca, firmeza e ácidos graxos livres houve efeito significativo (P<0,05) ao avaliar dias de armazenamento. A avaliação sensorial, no primeiro dia de análise, não apresentou diferença significativa nos atributos, porém o queijo de alta CCS (> 800.000 céls./mL) diferiu dos demais no dia 30, em que recebeu menor nota em todas as características. No queijo tipo Mussarela, houve interação entre CCS e dias de armazenamento apenas para a capacidade de derretimento, resultando em aumento do derretimento no decorrer do tempo. Para as características de pH, ácidos graxos livres, índices de proteólise, extensão e profundidade da proteólise, mastigabilidade e elasticidade houve efeito significativo (P<0,05) para dias de armazenamento. Entre os atributos avaliados na sensorial, apenas a aparência apresentou diferença entre tratamentos. O rendimento dos queijos, Minas frescal e tipo Mussarela, não foram influenciados pela quantidade de células somáticas dos leites. Os resultados do trabalho indicaram que o leite destinado à fabricação dos queijos Minas e tipo Mussarela deve apresentar CCS até 400-500.000 céls./mL, de maneira a evitar alterações na qualidade dos produtos ao longo do período de armazenagem. / The aim of the present study was to evaluate the effect of somatic cells counts (SCC) in raw milk (at levels of 100-200,000, 400-500,000 and 800,000 cells./mL) on physical, chemical, microbiological, sensorial and functional characteristics of Minas frescal and Mozzarella type cheeses. A completely randomized block design was used, considering SCC as the main effect, the days of analysis as sub parcels and the processing batches as the blocks. Each type of milk was obtained from cows previously selected according to its individual SCC. The manufacture of cheeses included: pasteurization of milk (65ºC, 30 minutes), addition of calcium chloride, starter culture (for Mozzarella) and rennet, coagulation and separation of the curd, whey drainage, salting (for Minas cheese), stretching of the curd, kneading and salting in brine (for Mozzarella), and packing the products. The cheeses were stored in a B.O.D. oven at 4ºC and evaluated on days 2, 9, 16 23 and 30 after the manufacture. The sequence of elaboration of the Minas frescal and Mozzarella cheeses was repeated 5 and 3 times, respectively, for each treatment. The analyses carried out in the cheeses were: pH, acidity, percentages of fat, dry matter (DM), ashes, total nitrogen (NT), non-protein-nitrogen (NPN), non-casein nitrogen (NCN), proteolysis, free fatty acids (FFA), texture, sensorial evaluation, functional properties (melting capacity the 107 ºC and percentage of free oil - only in the cheese Mozzarella), mesophile and psychrotrophic counts and the most probable number at 30 and 45ºC. For Minas frescal cheese, no interaction was found between SCC and days of storage when considering the data on chemical, physical, microbiological, functional and lipolysis index. However, a significant effect (P<0.05) was observed for proteolysis and depth of proteolysis. For mesophiles, psychrotrophics, acidity, dry matter, firmness and free fatty acids, there was a significant effect (P<0.05) for days of storage. The sensorial evaluation made on the first day of analysis did not present significant differences for all attributes. However, the Minas cheese made with high SCC (800,000 cells/mL) differed on day 30, when it received worse grades for all the attributes. For the Mozzarella cheese, an interaction between SCC and days of storage was observed only for the melting capacity, which resulted in an increment of the melting along the time of storage. The parameters of pH, free fatty acid, proteolysis, extension and depth of proteolysis, springiness and elasticity had significant effect (P<0.05) for days of storage. Amongst the attributes evaluated in the sensorial, only the appearance presented difference between treatments. The yield of Minas frescal and Mozzarella cheese was not influenced by the amount of somatic cells in the original milk. Results indicated that milk used for the manufacture of Minas frescal and Mozzarella cheeses should present SCC up to 400-500,000 cells/mL, in order to avoid quality changes in those products during storage.
18

Robust local problem error estimation for a singularly perturbed reaction-diffusion problem on anisotropic finite element meshes

Grosman, Serguei 05 April 2006 (has links) (PDF)
Singularly perturbed reaction-diffusion problems exhibit in general solutions with anisotropic features, e.g. strong boundary and/or interior layers. This anisotropy is reflected in the discretization by using meshes with anisotropic elements. The quality of the numerical solution rests on the robustness of the a posteriori error estimator with respect to both the perturbation parameters of the problem and the anisotropy of the mesh. An estimator that has shown to be one of the most reliable for reaction-diffusion problem is the <i>equilibrated residual method</i> and its modification done by Ainsworth and Babuška for singularly perturbed problem. However, even the modified method is not robust in the case of anisotropic meshes. The present work modifies the equilibrated residual method for anisotropic meshes. The resulting error estimator is equivalent to the equilibrated residual method in the case of isotropic meshes and is proved to be robust on anisotropic meshes as well. A numerical example confirms the theory.
19

A posteriori error estimation for the Stokes problem: Anisotropic and isotropic discretizations

Creusé, Emmanuel, Kunert, Gerd, Nicaise, Serge 16 January 2003 (has links)
The paper presents a posteriori error estimators for the stationary Stokes problem. We consider anisotropic finite element discretizations (i.e. elements with very large aspect ratio) where conventional, isotropic error estimators fail. Our analysis covers two- and three-dimensional domains, conforming and nonconforming discretizations as well as different elements. This large variety of settings requires different approaches and results in different estimators. Furthermore many examples of finite element pairs that are covered by the analysis are presented. Lower and upper error bounds form the main result with minimal assumptions on the elements. The lower error bound is uniform with respect to the mesh anisotropy with the exception of nonconforming 3D discretizations made of pentahedra or hexahedra. The upper error bound depends on a proper alignment of the anisotropy of the mesh which is a common feature of anisotropic error estimation. In the special case of isotropic meshes, the results simplify, and upper and lower error bounds hold unconditionally. Some of the corresponding results seem to be novel (in particular for 3D domains), and cover element pairs of practical importance. The numerical experiments confirm the theoretical predictions and show the usefulness of the anisotropic error estimators.
20

Insights into access patterns of internet media systems: measurements, analysis, and system design

Guo, Lei 07 January 2008 (has links)
No description available.

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