CIAID aims to be a leading player in the national science and technology program, as well as a benchmark for applied research in the latin american region.

Development projects leverage research within the research group in Advanced Engineering, Research, and Development.

The group is also a pivot for the synergistic work of our team, leading to a more relevant and higher impact production.

High performance computational simulation

Purpose of the Line

To propose and develop Research and Development (R&D) projects using highly detailed computational simulation. The development of computational methods, the programming of customized software, and the execution of such software on supercomputers are the main activities carried out within the research line. This is explained since they allow obtaining greater scopes in R&D projects and are distinct features compared to other engineering research groups.

Achievements of the Line

Establishing a robust methodology to address engineering problems and providing solutions to them through highly detailed computational simulations. In addition, having formed a working group that has been trained in the research of current technological advances. Especially in the development of computational software to be applied in high-performance computing. Finally, it is possible to highlight the creation of a school of knowledge in computational simulation.

Effects of the Line

The lack of companies, research centers, or research groups associated with Colombian universities that can respond to the solution of problems in engineering and society through complex computational simulations is currently the great motivation to carry out this line of research. Moreover, the need arises to promote the application of scientific and technological knowledge related to high-performance computational simulation in the solution of problems of the Colombian society (in its productive or human spheres) as a means of development of the country.

Mathematical modeling and analysis

Purpose of the Line

Identify problems within the natural, productive and organizational sectors whose solution has a positive impact on society. Implement advances in abstract areas of the natural sciences, mainly mathematics, physics, chemistry and biology, in the approach of the problems to be solved. To model mathematically the phenomenology present in the problems to be solved, promoting an adequate relation between complexity and accuracy according to the needs and restrictions of each case. Develop analytical techniques to solve partial differential equation problems through the simplification of the problems and the separation and/or transformation of the variables. Demonstrate the existence and uniqueness of mathematical problems that model physical phenomena. To encourage the relationship of researchers and experts in Natural Sciences with engineers and technologists to add practical value to their abstract knowledge.

Achievements of the Line

To have advanced theoretical analyses in the area of modeling natural phenomena, mainly in the area of fluid mechanics, proposing analytical methodologies to solve the descriptive equations of incompressible fluids. To have established possible practical applications for the analytical findings of fluid physics.

Effects of the Line

To broaden the recognition of the basic sciences as the fundamental foundation of the other applied sciences. To increase the analytical and descriptive capacity of science and technology. To promote the relationship of basic scientists with engineers and researchers in applied sciences.

Data processing and analysis

Purpose of the Line

To apply mathematical methods, mainly statistical, for analysis and decision-making based on large volumes of information. To propose robust methodologies that comprise the entire chain of processing large volumes of data. From data collection, computational processing, visualization and decision making based on predictive models. Develop efficient algorithms for processing large volumes of data by implementing recent advances in encapsulation and data structures.

Achievements of the Line

To have reduced the dimensions of multidimensional and temporal statistical descriptions through the application of algebraic techniques. To have developed numerical methods for the processing of large volumes of data that allow the visualization and identification of patterns. To have implemented novel techniques in the encapsulation of large volumes of data for their efficient transfer and processing in high-performance computing.

Effects of the Line

Analyze numerical results from highly detailed computational simulations whose interpretation requires a high amount of computational memory as well as a high computational cost in its post-processing. To achieve engineering and organizational decision-making based on the interpretation of large volumes of data.

Resilient urban systems

Purpose of the Line

To represent the behavior of the city through abstraction as a system of multiple components that relate to each other in a complex way. To establish descriptive mathematical models of the urban system by applying the equations of mass, energy, information and entropy balance. Analyze the relationship between the diversity of the elements of the urban system and its resilience capacity, defining metrics for each of these concepts of the city. Identify sampling methodologies that provide valid observations of the descriptive variables of the urban model. Apply statistical methods of multivariate inference to identify patterns in the urban system and relate them to its historical condition. Develop numerical methods for processing large volumes of statistical data from observations of the city.

Achievements of the Line

To relate the concept of the city to the concept of an organism that struggles for its survival, and especially to have proposed the mass and energy balances that are characteristic of urban ecology along with the new concepts of information balance and entropy. Having designed a statistical methodology for the prediction of the current and future state of the city by means of dimensional reduction techniques, data visualization and variational formulation of the system.

Effects of the Line

To organize the descriptive information of the city as the fundamental ingredient in the analysis of its current and future condition. To promote a technical exercise of urban planning, as well as the formulation of public policies. To promote an academy of sciences applied to urban analysis.

Internal projects

Application of computational methodologies of fluid-structure interaction to improve the performance of wind turbines

The environmental crisis and the future lack of fossil energy sources has led to the popular development of technologies to harness renewable sources, such as wind turbines. However, traditional sources such as coal and gas continue to dominate world production with 60% of the demand. Therefore, in order to make the field implementation of these turbines much more viable, it is necessary to increase their efficiency, and one alternative is to improve the aerodynamic performance of their blades by means of simulations using computational fluid dynamics (CFD). However, CFD makes the assumption of considering the blade as a rigid body, disregarding any deformation and/or displacement that the blade structure could suffer due to fluid tractions, which can lead to overestimate its real performance. Therefore, to overcome the limitations of CFD, numerical fluid-structure interaction (FSI) analyses can be performed, which allow to simulate in a coupled and dynamic way the airflow interacting with a deformable structure. These computational FSI analyses allow a better approximation of the real behavior of the blades of a wind turbine. Additionally, FSI strategies have the advantage of capturing coupling phenomena between the structure and the fluid that can be exploited to improve the performance of wind turbines. This is the objective of the present project, to perform the computational FSI analysis of Darrieus type wind turbines and oscillating wings and to propose modifications of their structure including partially flexible components that seek to increase the aerodynamic efficiency of the blades. All this development is supported on computational tools using the finite element method and optimal non-conforming mesh strategy to analyze FSI phenomena with large displacements, which are typical in the type of wind turbines analyzed.

Architectural and energy design of two single-family dwellings in tropical and temperate climates supported by computer simulation tools

Colombia, despite having no seasons, is one of the countries with the most diverse climates in the world: it has several types of climate: tropical climate, dry climate, temperate climate, continental climate and polar climate. This climatic diversity affects the variation of architectural design and construction typology depending on the region. However, to date, there is no research that emphasizes thermal comfort and proposes sustainable solutions for single-family and low-cost housing projects in different Colombian regions. Few are the theoretical and technical contributions that have been reported in the national architectural field satisfying this complexity. This research seeks to generate alternatives to this problem, with quantitative arguments on the part of the technical component of the project, as well as with the evaluation of passive strategies within the architectural design. All this is based on the adoption and/or development of computational tools that support the entire decision-making process. Especially applied to the type of single-family housing most widely used in the national territory: the single-family detached house. Indeed, the computational techniques proposed in this project find an approximate solution to the real behavior of energy phenomena and allow testing different operating parameters, reducing construction and operating costs when evaluating large constructions and systems, such as buildings.

Data analysis and identification of patterns in urban systems of different scales

After studying the state of the art in the field of urban sustainability, a knowledge gap was found that can be summarized as follows: to date, no quantitative methodology has been proposed that takes advantage of historical data measured in different urban systems to identify particular patterns of the components of these systems. Nor has an analysis of the correlation that exists between the data of the different urban systems been proposed. In particular, to visualize and quantify the dynamic variation of patterns in the information as a method for predicting the behavior and trends of the indicator systems measured over the cities. Furthermore, by describing this temporal change and graphically synthesizing the patterns found, it will be possible to propose a solid theory that correlates economic, social and environmental variables with the sustainability of cities. Therefore, the overall objective of the project is to apply a data analytical methodology (descriptive statistics and mathematics) to different urban systems -of different scales- represented by means of an information system, which is capable of describing the underlying relationships between its elements and with the general framework of sustainable urban development. The statistical and mathematical methodologies to be applied in the project have been previously validated and used only for the sustainability analysis of the city of Barcelona, Spain, obtaining historical descriptions of urban system trends that would have been difficult to understand with simple measured urban data. Therefore, by including more cities in the study, it is expected to find patterns and relationships that have not been identified to date.

Fluid-solid interaction by non-conforming mesh methods

This thesis aims to better understand the numerical approximation of the fluid-solid interaction that involves large deformations and displacements of an immersed solid within the flow field. It can be applied as an engineering tool for improving mechanical component design that typically leads to various numerical and algorithmic challenges. The numerical strategy in this thesis uses fixed and non-conforming mesh methods due to their ability to solve the fluid flow in a static mesh even with considerable displacements of internal boundaries. But several other numerical ingredients are developed in this work to overcome instability issues that may appear in the numerical solution and to make affordable such computation. One is the application of the Variational Multi-Scale (VMS) framework to construct a stable discrete formulation of the incompressible flow equations. Others have to do with non-conforming mesh methods.

Electric vector potential formulation in electrostatics: analytical treatment of the gaped surface electrode

The electric vector potential Θ(r) is a legitimate—but rarely used—tool to calculate the steady electric field in charge-free regions. It is commonly preferred to employ the scalar electric potential Φ(r) rather than Θ(r) in most of the electrostatic problems. However, the electric vector potential formulation can be a viable approach to study certain systems. One of them is the gaped surface electrode (SE): a planar finite region A− kept at a fixed potential Vo with a gap of thickness ν to the remaining grounded field. In this document, the Helmholtz decomposition theorem and the electric vector potential formulation are used to provide integral expressions for the surface charge density and the electric field of the gaped SE of arbitrary contour ∂A. It is shown that the electric field of the gaped circular SE in the R3 space can be obtained from averaging the gapless SE solution over the gap. Even though the approach is illustrated with the circular SE, the strategy could be used in other geometries if the corresponding gapless solution is known. Analytic results are in agreement with numerical approximations of the electrostatic problem via Finite Element Method. Finally, the magnetic analogue of the gaped SE is provided.

Data analysis and identification of patterns in urban systems of different scales

We present an analytic strategy to find the electric field generated by surface electrode SE with angular-dependent potential. This system is a planar region A kept at a fixed but non-uniform electric potential V(ϕ) with an arbitrary angular dependence. We show that the generated electric field is due to the contribution of two fields: one that depends on the circulation on the contour of the planar region—in a Biot–Savart-Like (BSL) term—and another one that accounts for the angular variations of the potential in A. This approach can be used to find exact solutions of the BSL electric field for circular or polygonal contours of the planar region with periodic distributions of the electric potential. Analytic results are validated with numerical computations and the Finite-Element Method.

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