Análise comparativa de softwares de simulação de onda de cheia e corridas de massa

This scientific research aimed at presenting a comparative analysis of softwares used to represent the processes of flood wave and debris flow. For this, a literature review was performed on these processes and on simulation models used to represent them. Then, a research on scientific database and developers’ websites was performed to identify the softwares used to simulate these processes. This step was performed based on specific criteria such as the type of simulation performed by the software, its practical applications and a user friendly interface. A free distribution and totally functional software was chosen and its simulation mechanisms were tested through a simulation exercise and the results interpreted based on data on measured in the Basin of Ribeirão Marins section Monjolinho located in Piracicaba - SP. With respect to the processes, it was sought to present the dynamics, constraints, parameters and variables used to understand them and for the simulation models were presented the conceptual aspects of mathematical modeling including the steps of the simulation process and the different types of simulation models used to represent them. In total, 20 softwares were identified, and the software object of analysis was the ABC 6 that performs simulation of flood wave. Through the simulation exercise, it was observed that were presented overestimated values of flow compared to measured data in the basin. For both hypotheses were raised about the causes of the discrepancy between the observed and simulated flow. It has been concluded that the simulation process consisted of a complex procedure where generalizations, misrepresentations and simplifications may occur due to the data used and the method adopted, but it is a useful tool in planning and decision making in various types of studies and environmental projects

Modelagem matemática para a dispersão de fungos fitopatogênicos via autômatos celulares

Brazil is a major world producer and exporter of agricultural products like soybeans, sugar, coffee, orange and tobacoo. However, the action of phytopathogenic fungi has been one of the largest challenges encountered in the field as they are responsible for approximately 25 to 50 per cent of losses in crops of fruits and vegetables. The presence of these pathogens is always a problem, because the damage on the tissues and organs promote lesions which decreses growth vegetation and often leads the individual (host) to death. Therefore, it is crucial to understand the process of spreading of these pathogens in the field to develop strategies which prevent the epidemics caused by them. In this study, the dispersal of fungi phytopathogenic in the field was modeled using the automata cellular formalism. The growth rate of infected plants population was measured by the radius of gyration and the influence of host different susceptibility degrees into the disease spread was assessed. The spatial anisotropy related to the plant-to-plant space and the system’s response to distinct seasonal patterns were also evaluated. The results obtained by a mean field model (spatially implicit models) emphasized the importance of the spatial structure on the spreading process, and dispersal patterns obtained by simulation (using a cellular automata) were in agreement with thse observed in data. All computational implementation was held in language Cl

Ajuste do modelo QUAL2K e simulação de cenários para o Ribeirão Claro

The project has as objective to adjust the model QUAL2K to “Ribeirão Claro” river to evaluate the behavior of OD and DBO when are simulated the following sceneries: (i) implantation of a hypothetic wastewater station treatment that treats all the effluent thrown nowadays in the body of water; (ii) increase of withdrawal flow of DAAE to public supply and (iii) increase of nowadays flow of wastewater throwing, being the two last caused for the population increasing. The results obtained allowed to conclude that the model QUAL2K presented a good adjustment to the variable OD and a reasonable adjustment to the variable DBO, being that the same was suitable to the simulation of the sceneries proposed.

Modelagem matemática aplicada a precificação de opções

The mathematical models are critical to determine theoretical prices of options and analyze whether they are overrated or underrated. This information strongly influence in operations carried out by the investor. Therefore, it is necessary that the employee model present high degree of reliability and be consistent with the reality of investment to which it is intended. In this sense, this dissertation aims to apply the steps of mathematical modeling in the Pricing of options for decision making in the investment of a hydroelectric power plant. Was used a Monte Carlo simulation, with the Latin Hypercube Method, to determine the volatility of returns of the project. In order to validate the proposed model, compared to the results found by the Binomial Model, which is one of the models most used in this type of investment. The results reinforce the hypothesis that the mathematical modeling with the Binomial Model is critical to investment decision-making in hydroelectric power

Simulação de ciclo combinado utilizando software comercial

In Brazil, The power generation has always depended on the rivers, in other words, there are moments that the power generation can vary, which can cause variations in energy supply and even blackout according to the level of water in the reservoirs of the hydroelectric plants. For this reason, many options has been studied, like our example, which is about a combined cycle power plant in Canas. The use of combined cycle is interesting from the point o view of energy, because its efficiency is between 50 and 60%, and from the point of view of environment, because it can burn natural gas, which is cleaner than coal, it reduces the emission of gases that influence on the greenhouse effect. This work aims to perform a technical analysis of a case study of a power plant proposed to be built in Canas by the AES/AES Tietê Group. For the analysis will be used the commercial software GateCycle 6.0.0 from GE, this software has the power of simulating power generation cycles (nuclear, combined, etc.). The energy department of UNESP has the license, which makes possible the academic use of this tool. Two combined cycles were simulated, one using one pressure level HRSG, and another one closer to the real power plant, which is a combined cycle with a three pressure level HRSG. The results were close to expected, for the combined cycle with one pressure HRSG the power was 513,9 MW and a efficiency of 53,27%, in the case with the three pressure level HRSG the power was 517,1 MW and a efficiency of 53,5%. We conclude that the software requires that the user must have the knowledge about the subjects involved in the use of GateCycle in problems resolutions

Explorando a matemática do posicionamento geográfico

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Educação matemática e crianças surdas: explorando possibilidades em um cenário para investigação

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Aplicação da modelagem matemática no estudo de funções: uma proposta de atividade para as Escolas de Tempo Integral (ETI)

Pós-graduação em Matemática em Rede Nacional - IBILCE

Aplicação de modelos hidrológicos para avaliação de reservatórios de retenção e detenção combinados à obra de recuperação do canal de macrodrenagem no controle de cheias em uma bacia hidrográfica urbanizada

The aim of this paper was to evaluate the effect of retention and detention reservoirs along with the regulation in channel flow upgrade on flood for an urban watershed located at Rio Claro, SP. For this purpose, modeling and simulation techniques were applied for runoff determination and its propagation in channel. The Soil Conservation Service – SCS hydrologic model as well as Pulz and non-linear Muskingum-Cunge model were used. The software IPHS1 was applied on simulations. The results pointed out that the combination of retention increasing and detention reservoir implementation (120,000 m3, corresponding to 1.5% of the watershed area) with the streamflow upgrade (n decreasing from 0,04 to 0,02) can minimize the flood on the investigated Servidão watershed. Further, after the proposed intervention, the flood was eliminated for the investigated times of recurrence: 5, 20, 50 and 100 years. The prognostic indicated that the available area occupation had a minor effect on flow increasing due to the observed high urbanization.

Metodologia de otimização para o dimensionamento de reservatórios de águas pluviais

This work aimed to develop an optimization methodology for reservoir sizing in rainwater harvesting systems in order to increase the economic viability of projects in this area. For this, concepts of Operations Research were used so as to develop mathematical programming problems related to minimizing the life cycle cost and maximizing efficiency. The results obtained for different sizing methods were presented based on a case study, emphasizing the importance of tools that are able to provide a more accurate analysis and tend to significantly increase the economic viability of rainwater harvesting systems.

Simulação de modelagem qualitativa para avaliação preliminar da qualidade da água na Bacia do Ribeirão das Perdizes em Campos do Jordão/SP, como subsídio ao enquadramento

The purpose of this research was to present the principles for the implementation of a future water body classification program at the UGRHI-1 (Management Unit of Water Resources-1/São Paulo, Brazil) using qualitative and quantitative water modeling. Our study area was in Campos do Jordão, a city in the state of São Paulo, specifically in the Perdizes river watershed, which is included in the UGRHI-1. The water quality assessment used a modeling mehtodology that can support a future study for the classification of water bodies in the region. The behavior of DO and BOD parameters was assessed in the water quality scenarios, considering the variations of flows, loads, reductions in withdrawals and different efficiencies in sewage treatment. The model used was QUAL2E developed by USEPA (United States Environmental Protection Agency) that received a new graphic interface named QUAL2R model. The reference flows Q7,10, Q95% and Qm used were obtained through the DAEE (Department of Water and Electric Energy) hydrologic regionalization method. It was noted that of the 9 proposed scenarios, only scenario 6 that was predicted in the flow regime Qm with the existence of a treatment system capable of removing 93% of the BOD, in the Perdizes River remained 67.5% of the time in class 2. Scenario 8 predicted a 50% reduction in In scenario 8 a reduction of 50% in the flow captured in CA-04, associated with the efficiency of 93% of BOD removal keeping the river in class 2. In scenario 9 the minimum required efficiency in sewage treatment in the flow regime Q95% for keeping the river in class 2 was also calculated and the value of 94.7% was obtained.

Simulação tridimensional adaptativa da separação das fases de uma mistura bifásica usando a equação de Cahn-Hilliard

Simulamos a separação dos componentes de uma mistura bifásica com a equação de Cahn-Hilliard. Esta equação contém intrincados termos não lineares e derivadas de alta ordem. Além disso, a delgada região de transição entre os componentes da mistura requer muita resolução. Assim, determinar a solução numérica da equação de Cahn-Hilliard não é uma tarefa fácil, principalmente em três dimensões. Conseguimos a resolução exigida no tempo usando uma discretização semi-implícita de segunda ordem. No espaço, obtemos a precisão requerida utilizando malhas refinadas localmente com a estratégia AMR. Essas malhas se adaptam dinamicamente para recobrir a região de transição. O sistema linear proveniente da discretização é solucionado por intermédio de técnicas multinível-multigrid.

Gaseificação de microalgas: estudo termogravimétrico e modelagem matemática do processo em reator solar.

Devido ao esgotamento de recursos não renováveis e o aumento das preocupações sobre as alterações climáticas, a produção de combustível renovável a partir de microalgas continua a atrair muita a atenção devido ao seu potencial para taxas rápidas de crescimento, alto teor de óleo, capacidade de crescer em cenários não convencionais e a neutralidade de carbono, além de eliminar a preocupação da disputa com as culturas alimentares. Em virtude disso, torna-se importante o desenvolvimento de um processo de conversão das microalgas em gás combustível, em destaque o gás de síntese. Visando essa importância, estudou-se a reação de gaseificação da microalga Chlorella vulgaris através de experimentos de análise termogravimétrica para estimar os parâmetros cinéticos das reações e através da simulação de um modelo matemático dinâmico termoquímico do processo usando equações de conservação de massa e energia acoplados a cinética de reação. Análises termogravimétricas isotérmicas e dinâmicas foram realizadas usando dois diferentes tipos de modelos cinéticos: isoconversionais e reações paralelas independentes (RPI). Em ambos os modelos, os valores dos parâmetros cinéticos estimados apresentaram bons ajustes e permaneceram dentro daqueles encontrados na literatura. Também foram analisados os efeitos dos parâmetros cinéticos do modelo RPI sobre a conversão da microalga no intuito de observar quais mais se pronunciavam diante a variação de valores. Na etapa de simulação do sistema controlado pelo reator solar, o modelo matemático desenvolvido foi validado por meio da comparação dos valores de temperatura e concentrações de produtos obtidos medidos experimentalmente pela literatura, apresentando boa aproximação nos valores e viabilizando, juntamente com a etapa experimental de termogravimetria, a produção de gás de síntese através da gaseificação da microalga Chlorella vulgaris.

Migração de solutos em basalto fraturado: quantificação experimental em laboratório e validação matemática

A avaliação do risco a contaminação e a escolha de técnicas de remediação de poluentes em aquíferos fraturados depende da quantificação dos fenômenos envolvidos no transporte de solutos. A geometria da fratura, usualmente caracterizada pela abertura, é o principal parâmetro que indiretamente controla o transporte nos aquíferos fraturados. A simplificação mais comum desse problema é assumir que as fraturas são um par de placas planas e paralelas, isto é, com uma abertura constante. No entanto, por causa do limitado número de trabalhos experimentais, não está esclarecida a adequabilidade do uso de uma abertura constante para simular o transporte conservativo em fraturas do Aquífero Serra Geral (ASG), Brasil. O objetivo deste trabalho é avaliar a influência da abertura de uma fratura natural do Aquífero Serra Geral sob o transporte conservativo de solutos. Uma amostra natural de basalto fraturado foi usada em um experimento hidráulico e de transporte de um traçador conservativo (escala de laboratório). O campo de abertura foi medido usando a técnica avançada, de alta resolução e tridimensional, chamada microtomografia computadorizada de raios-X. A concentração de traçador medida foi utilizada para validar uma solução analítica unidimensional da Equação de Advecção-dispersão (ADE). O desemprenho do ajuste da ADE às curvas de passagem experimentais foi avaliado para quatro diferentes tipos de aberturas constantes. Os resultados mostraram que o escoamento de água e o transporte de contaminantes pode ocorrer através de fraturas micrométricas, ocasionando, eventualmente, a contaminação do ASG. A abertura de balanço de massa é a única que pode ser chamada propriamente de \"abertura equivalente\". O uso de aberturas constantes na ADE não permitiu representar completamente o formato das curvas de passagem porque o campo de velocidade não é uniforme e intrinsicamente bidimensional. Portanto, na simulação do transporte deve-se incorporar a heterogeneidade da abertura da fratura.

Estudo paramétrico da injeção de polímeros em reservatórios de petróleo

Developing an efficient methodology for oil recovery is extremely important . Within the range of enh anced oil recovery, known as EOR, the injection of polymer solutions becomes effective in controlling the mobility of displacing fluid . This method consists of adding polymers to the injection water to increase its viscosity, so that more water diffuses in to the porous medium and increasing the sweep efficiency in the reservoir. This work is studied by numerical simulation , application of the injection polymer solution in a homogeneous reservoir , semisynthetic with similar characteristics to the reservoirs of the Brazilian Northeast , numerical simulations were performed using thermal simulator STARS from CMG (Computer Modelling Group ). The study aimed to analyze the influence of some parameters on the behavior of reservoir oil production, with the response to cumulative production. Simulations were performed to analyze the influence of water injection, polymer solution and alternating injection of water banks and polymer solution, comparing the results for each simulated condition. The primary outcomes were: oil viscosity, percentage of injected polymer, polymer viscosity and flow rate of water injection. The evaluation of the influence of variables consisted of a complete experimental design followed a Pareto analysis for the purpose of pointing out which va riables would be most influential on the response represented b y the cumulative oil production . It was found that all variables significantly influenced the recovery of oil and the injection of polymer solution on an ongoing basis is more efficient for the cumulative production compared to oil recovery by continuous water injection. The primary recovery show ed low levels of oil production , water injection significantly improves the pro duction of oil in the reservoir , but the injection of polymer solution em erges as a new methodology to increase the production of oil, increasing the life of the well and possible reduction of water produced.