Accelerating CFD via local POD plus Galerkin projections

Se desarrollan varias técnicas basadas en descomposición ortogonal propia (DOP) local y proyección de tipo Galerkin para acelerar la integración numérica de problemas de evolución, de tipo parabólico, no lineales. Las ideas y métodos que se presentan conllevan un nuevo enfoque para la modelización de tipo DOP, que combina intervalos temporales cortos en que se usa un esquema numérico estándard con otros intervalos temporales en que se utilizan los sistemas de tipo Galerkin que resultan de proyectar las ecuaciones de evolución sobre la variedad lineal generada por los modos DOP, obtenidos a partir de instantáneas calculadas en los intervalos donde actúa el código numérico. La variedad DOP se construye completamente en el primer intervalo, pero solamente se actualiza en los demás intervalos según las dinámicas de la solución, aumentando de este modo la eficiencia del modelo de orden reducido resultante. Además, se aprovechan algunas propiedades asociadas a la dependencia débil de los modos DOP tanto en la variable temporal como en los posibles parámetros de que pueda depender el problema. De esta forma, se aumentan la flexibilidad y la eficiencia computacional del proceso. La aplicación de los métodos resultantes es muy prometedora, tanto en la simulación de transitorios en flujos laminares como en la construcción de diagramas de bifurcación en sistemas dependientes de parámetros. Las ideas y los algoritmos desarrollados en la tesis se ilustran en dos problemas test, la ecuación unidimensional compleja de Ginzburg-Landau y el problema bidimensional no estacionario de la cavidad. Abstract Various ideas and methods involving local proper orthogonal decomposition (POD) and Galerkin projection are presented aiming at accelerating the numerical integration of nonlinear time dependent parabolic problems. The proposed methods come from a new approach to the POD-based model reduction procedures, which combines short runs with a given numerical solver and a reduced order model constructed by expanding the solution of the problem into appropriate POD modes, which span a POD manifold, and Galerkin projecting some evolution equations onto that linear manifold. The POD manifold is completely constructed from the outset, but only updated as time proceeds according to the dynamics, which yields an adaptive and flexible procedure. In addition, some properties concerning the weak dependence of the POD modes on time and possible parameters in the problem are exploited in order to increase the flexibility and efficiency of the low dimensional model computation. Application of the developed techniques to the approximation of transients in laminar fluid flows and the simulation of attractors in bifurcation problems shows very promising results. The test problems considered to illustrate the various ideas and check the performance of the algorithms are the onedimensional complex Ginzburg-Landau equation and the two-dimensional unsteady liddriven cavity problem.

Laser Shock Processing influence on local properties and overall tensile behavior of friction stir welded joints

Based on laser beam intensities above 109 W/cm2 with pulse energy of several Joules and duration of nanoseconds, Laser Shock Processing (LSP) is capable of inducing a surface compressive residual stress field. The paper presents experimental results showing the ability of LSP to improve the mechanical strength and cracking resistance of AA2024-T351 friction stir welded (FSW) joints. After introducing the FSW and LSP procedures, the results of microstructural analysis and micro-hardness are discussed. Video Image Correlation was used to measure the displacement and strain fields produced during tensile testing of flat specimens; the local and overall tensile behavior of native FSW joints vs. LSP treated were analyzed. Further, results of slow strain rate tensile testing of the FSW joints, native and LSP treated, performed in 3.5% NaCl solution are presented. The ability of LSP to improve the structural behavior of the FSW joints is underscored.

Facing the climate change challenges in the mining and mineral industry as providers of a sustainable manufacturing process

A sustainable manufacturing process must rely on an also sustainable raw materials and energy supply. This paper is intended to show the results of the studies developed on sustainable business models for the minerals industry as a fundamental previous part of a sustainable manufacturing process. As it has happened in other economic activities, the mining and minerals industry has come under tremendous pressure to improve its social, developmental, and environmental performance. Mining, refining, and the use and disposal of minerals have in some instances led to significant local environmental and social damage. Nowadays, like in other parts of the corporate world, companies are more routinely expected to perform to ever higher standards of behavior, going well beyond achieving the best rate of return for shareholders. They are also increasingly being asked to be more transparent and subject to third-party audit or review, especially in environmental aspects. In terms of environment, there are three inter-related areas where innovation and new business models can make the biggest difference: carbon, water and biodiversity. The focus in these three areas is for two reasons. First, the industrial and energetic minerals industry has significant footprints in each of these areas. Second, these three areas are where the potential environmental impacts go beyond local stakeholders and communities, and can even have global impacts, like in the case of carbon. So prioritizing efforts in these areas will ultimately be a strategic differentiator as the industry businesses continues to grow. Over the next forty years, world?s population is predicted to rise from 6.300 million to 9.500 million people. This will mean a huge demand of natural resources. Indeed, consumption rates are such that current demand for raw materials will probably soon exceed the planet?s capacity. As awareness of the actual situation grows, the public is demanding goods and services that are even more environmentally sustainable. This means that massive efforts are required to reduce the amount of materials we use, including freshwater, minerals and oil, biodiversity, and marine resources. It?s clear that business as usual is no longer possible. Today, companies face not only the economic fallout of the financial crisis; they face the substantial challenge of transitioning to a low-carbon economy that is constrained by dwindling natural resources easily accessible. Innovative business models offer pioneering companies an early start toward the future. They can signal to consumers how to make sustainable choices and provide reward for both the consumer and the shareholder. Climate change and carbon remain major risk discontinuities that we need to better understand and deal with. In the absence of a global carbon solution, the principal objective of any individual country should be to reduce its global carbon emissions by encouraging conservation. The mineral industry internal response is to continue to focus on reducing the energy intensity of our existing operations through energy efficiency and the progressive introduction of new technology. Planning of the new projects must ensure that their energy footprint is minimal from the start. These actions will increase the long term resilience of the business to uncertain energy and carbon markets. This focus, combined with a strong demand for skills in this strategic area for the future requires an appropriate change in initial and continuing training of engineers and technicians and their awareness of the issue of eco-design. It will also need the development of measurement tools for consistent comparisons between companies and the assessments integration of the carbon footprint of mining equipments and services in a comprehensive impact study on the sustainable development of the Economy.

Auto-localization algorithm for local positioning systems

This paper studies the problem of determining the position of beacon nodes in Local Positioning Systems (LPSs), for which there are no inter-beacon distance measurements available and neither the mobile node nor any of the stationary nodes have positioning or odometry information. The common solution is implemented using a mobile node capable of measuring its distance to the stationary beacon nodes within a sensing radius. Many authors have implemented heuristic methods based on optimization algorithms to solve the problem. However, such methods require a good initial estimation of the node positions in order to find the correct solution. In this paper we present a new method to calculate the inter-beacon distances, and hence the beacons positions, based in the linearization of the trilateration equations into a closed-form solution which does not require any approximate initial estimation. The simulations and field evaluations show a good estimation of the beacon node positions.

Exact solution for the conjugate fluid-fluid problem in the thermal entrance region of laminar counterflow heat exchangers

A generalized Lévêque solution is presented for the conjugate fluid–fluid problem that arises in the thermal entrance region of laminar counterflow heat exchangers. The analysis, carried out for constant property fluids, assumes that the Prandtl and Peclet numbers are both large compared to unity, and neglects axial conduction both in the fluids and in the plate, assumed to be thermally thin. Under these conditions, the thermal entrance region admits an asymptotic self-similar description where the temperature varies as a power ϳ of the axial distance, with the particularity that the self-similarity exponent must be determined as an eigenvalue by solving a transcendental equation arising from the requirement of continuity of heat fluxes at the heat conducting wall. Specifically, the analysis reveals that j depends only on the lumped parameter ƙ = (A2/A1)1/3 (α1/α2)1/3(k2/k1), defined in terms of the ratios of the wall velocity gradients, A, thermal diffusivities, α i, and thermal conductivities,k i, of the fluids entering, 1, and exiting, 2, the heat exchanger. Moreover, it is shown that for large (small) values of K solution reduces to the classical first (second) Lévêque solution. Closed-form analytical expressions for the asymptotic temperature distributions and local heat-transfer rate in the thermal entrance region are given and compared with numerical results in the counterflow parallel-plate configuration, showing very good agreement in all cases.

A gradient-enhanced large-deformation continuum damage model for fibre-reinforced materials

A non-local gradient-based damage formulation within a geometrically non-linear setting is presented. The hyperelastic constitutive response at local material point level is governed by a strain energy which is additively composed of an isotropic matrix and of an anisotropic fibre-reinforced material, respectively. The inelastic constitutive response is governed by a scalar [1–d]-type damage formulation, where only the anisotropic elastic part is assumed to be affected by the damage. Following the concept in Dimitrijević and Hackl [28], the local free energy function is enhanced by a gradient-term. This term essentially contains the gradient of the non-local damage variable which, itself, is introduced as an additional independent variable. In order to guarantee the equivalence between the local and non-local damage variable, a penalisation term is incorporated within the free energy function. Based on the principle of minimum total potential energy, a coupled system of Euler–Lagrange equations, i.e., the balance of linear momentum and the balance of the non-local damage field, is obtained and solved in weak form. The resulting coupled, highly non-linear system of equations is symmetric and can conveniently be solved by a standard incremental-iterative Newton–Raphson-type solution scheme. Several three-dimensional displacement- and force-driven boundary value problems—partially motivated by biomechanical application—highlight the mesh-objective characteristics and constitutive properties of the model and illustratively underline the capabilities of the formulation proposed

Estudio para un Modelo de Gestión de un Acuífero Costero, mediante Metodologías Participativas y Análisis Geoestadístico en el marco del Desarrollo Local. Manglaralto, Ecuador

El presente estudio se fundamenta en la investigación-acción-participativa (IAP), para buscar alternativas que tiendan al desarrollo local de un territorio. Se centra en la cuenca hidrográfica del rio Manglaralto-Santa Elena-Ecuador, aplicando un sistema metodológico participativo que considera las características peculiares del territorio, que se analizan geoespacialmente reconociendo la influencia de la dinámica de sus cambios y observando los móviles que la propiciaban. A través de mecanismos participativos, se conectan los aspectos técnicos para el conocimiento y el aprovechamiento racional del acuífero costero, con los valores de los habitantes del territorio, para mejorar su abastecimiento de agua y crear nuevas condiciones y oportunidades en el camino del desarrollo local, vislumbrando la sostenibilidad. Cabe indicar que el ente administrativo y propulsor es la Junta de Agua Potable Regional Manglaralto (JAPRM). La hipótesis del estudio considera, que los métodos participativos generan en la comunidad una respuesta basada en su identidad y sus deseos de mejorar, que propiciará una gestión del acuífero costero que conlleve al desarrollo local. Otra hipótesis complementaria estipula que las estrategias del gobierno respecto al turismo propicia un crecimiento en la demanda del agua del acuífero. En Manglaralto-Ecuador, una parroquia de 30.000 habitantes aproximadamente, donde la JAPRM, administra y suministra agua a 23.586 habitantes que cuenta en su organización, llevada por 6 representantes de las comunidades rurales que la conforman, empezaron hace 7 años a buscar una forma de lograr un cambio, de tener agua para el desarrollo de la comunidad. Buscaron ayuda por diferentes medios, políticos, económicas, sociales y encontraron como base fundamental a la cooperación con el Organismo Internacional de Energía Atómica (OIEA) y la Escuela Superior Politécnica del Litoral (ESPOL) para entrelazar aspectos técnicos, ambientales, sociales y culturales. La gestión del acuífero costero, desde la perspectiva del IAP repercute en el desarrollo de Manglaralto. También se realiza un análisis geoespacial-geoestadístico, para vislumbrar aspectos de cambios en el territorio ligados al crecimiento turístico, que afectan a la demanda del recurso agua proveniente del acuífero costero bajo la administración de la JAPRM. La tesis presenta el modelo integral y propio de la comunidad de Manglaralto, que refleja una evolución que alcanzó un apogeo en 2011 y parte del 2012, con 9 pozos de agua que daban servicio los 365 días del año, 24 horas al día ininterrumpidamente. Las condiciones externas (promociones turísticas de la ruta del Spondylus) han repercutido en nuevas problemáticas (crecimiento elevado de la demanda del agua). El acuífero costero se convierte en el emblema y móvil de solución, gracias a la gestión integral y a la interacción IAP que se amolda a la evolución de las condiciones, buscando soluciones para la comunidad y su entorno. El modelo integral del territorio con la participación de sus pobladores, considera el aspecto turístico, como un agente que propicia la mayor demanda del agua. Situación a la que hay que dar respuesta mediante la observación-reflexión en el ciclo del IAP para generar nuevas directrices estratégicas y gestionar el desarrollo local. ABSTRACT The present study is based on the participatory action research (PAR) methodology in order to look for alternatives which tend to the local development of a territory. It focuses on the Manglaralto hydrographic river basin located in Santa Elena-Ecuador through the application of the participatory methodology which considers the peculiar characteristics of the territory. These are geospatially analyzed recognizing the influence of its dynamic of changes and observing the causes that originated them. Through the use of participatory mechanisms, technical aspects are connected for stimulating knowledge and rational use of the coastal aquifer with the values of inhabitants of the territory to improve the water supply and create new conditions of sustainability. It is important to point out that the administrative organism and promoter is the Manglaralto Regional Fresh Water Board (JAPRM). In Manglaralto-Ecuador, a parish of approximately 30,000 inhabitants, the MRFWB manages and supplies water to 23.586 inhabitants. This organization is composed by 6 representatives of rural communities. It started 7 years ago looking for a way to achieve a change, from obtaining water to developing the community. They seeked for help in different fields such as: political, economic and social and they found International Atomic Energy Agency (IAEA) and Escuela Superior Politécnica del Litoral (ESPOL) as a fundamental basis for cooperation to bond technical, environmental, social and cultural aspects. Management of coastal aquifer, from the PAR perspective affects the development of Manglaralto. Also, a geospatial and geostatistical analysis is carried out to distinguish change aspects in territories related to touristy growth which affects the demand of water obtained from the coastal aquifer under the management of the MRFWB. The thesis presents a comprehensive model that belongs to the Manglaralto community and reveals an evolution that reached a peak in 2011 and part of 2012, with 9 water wells that operated the 365 days of the year 24 hours a day without interruption. The external conditions (touristic packages of Spondylus route) have created new problems (higher demand of water). The coastal aquifer is a symbol and solution, thanks to the comprehensive management and PAR interaction which fits the evolution of conditions, looking for solutions for the community and its surroundings. The comprehensive model of territory with the participation of inhabitants considers the touristic aspect as an agent which brings about a higher demand of water. This situation requests a response through the observation-reflection in the PAR cycle to generate new strategic guidelines and promote the local development.