Persona: Salete Casino, Eduardo
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Salete Casino
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Publicación Cracks in Arch Dams: an overview of documented instances(MDPI, 2024-08-27) Conde, André; Toledo Municio, Miguel Ángel; Salete Casino, EduardoIt is essential to understand how failure mechanisms work in arch dams and, in particular, their most common manifestation: cracking. In this paper, the different types of cracking are explained in terms of their causes and consequences. Then, an exhaustive literature review is carried out that results in a detailed compilation of the characteristics of 38 cracked arch dams from all over the world, including crack characteristics (zone, position, dimensions and probable cause). This review is restricted to only those dams for which information on the position of the cracks or dam displacements is publicly available. As part of the review, a brief summary of key data for each dam is included, as well as a compilation of published crack diagrams. The positions of the cracks of all the dams are classified using diagrams in relation to the type of dam and the origin of the crack. Finally, the distribution of some dam parameters and crack features is analyzed by studying the relationships between them.Publicación Numerical Solutions to Wave Propagation and Heat Transfer Non-Linear PDEs by Using a Meshless Method(MDPI, 2022-01-21) Flores, Jesús; García, Ángel; Negreanu, Mihaela; Salete Casino, Eduardo; Ureña, Francisco; Vargas Ureña, Antonio ManuelThe applications of the Eikonal and stationary heat transfer equations in broad fields of science and engineering are the motivation to present an implementation, not only valid for structured domains but also for completely irregular domains, of the meshless Generalized Finite Difference Method (GFDM). In this paper, the fully non-linear Eikonal equation and the stationary heat transfer equation with variable thermal conductivity and source term are solved in 2D. The explicit formulae for derivatives are developed and applied to the equations in order to obtain the numerical schemes to be used. Moreover, the numerical values that approximate the functions for the considered domain are obtained. Numerous examples for both equations on irregular 2D domains are exposed to underline the effectiveness and practicality of the method.Publicación Schemes in generalized finite differences for seismic wave propagation in Kelvin–Voight viscoelastic media(Elsevier, 2018-10) Benito Muñoz, Juan J.; Ureña, Francisco; Ureña, Miguel; Salete Casino, Eduardo; Gavete, LuisSeismic wave propagation in homogeneous and isotropic Kelvin–Voight viscoelastic media is dealt with the meshless generalized finite difference method. The schemes in generalized finite differences for the decoupled system P-SV and SH are obtained. For each scheme, a stability limit is achieved and the star dispersion is calculated. Some cases are shown using irregular discretizations.Publicación Optimization of numerical models through instrumentation data integration. Digital twin models for dams(Wiley, 2021-11) Toledo Municio, Miguel Ángel; Salete Casino, Eduardo; Conde López, Eduardo RobertoDam safety is a relevant aspect in our society due to the importance of its functions (power generation, water supply, lamination of oods) and due to the potentially catastrophic consequences of a serious breakdown or breakage. Dam safety analyses are fundamentally based on behavior models, which are idealizations of the dam-foundation that allow us to calculate the dam's response to a certain combination of actions. The comparison of this response with the real one, measured by the auscultation or survey devices, is the main element to determine the safety status of the structure. To improve this analysis, it is necessary to increase the accuracy of the numerical models obtaining a digital twin that allows knowing, in a faithful way, how the structure is going to work in normal and extreme situations.Publicación Solving Eikonal equation in 2D and 3D by Generalized Finite Difference Method(Wiley, 2021-09-17) Salete Casino, Eduardo; Flores, Jesús; García, Ángel; Negreanu, Mihaela; Vargas Ureña, Antonio Manuel; Ureña, FranciscoIn this paper we propose an implementation, for irregular cloud of points, of the meshless method called Generalized Finite Di erence Method to solve the fully nonlinear Eikonal equation in 2D and 3D. We obtain the explicit formulae for derivatives and solve the system of nonlinear equations using the Newton-Raphson method to obtain the approximate numerical values of the function for the discretization of the domain. It is also shown that the approximation of the scheme used is of second order. Finally, we provide several examples of its application over irregular domains in order to test accuracy of the scheme, as well as comparison with order numerical methods.Publicación A spatio-temporal fully meshless method for hyperbolic PDEs(ELSEVIER, 2023) Flores, Jesús; García, Ángel; Negreanu, M.; Salete Casino, Eduardo; Ureña, Francisco; A.M. Vargas; https://orcid.org/0000-0003-0533-3464We introduce a meshless method derived by considering the time variable as a spatial variable without the need to extend further conditions to the solution of linear and non-linear hyperbolic PDEs. The method is based on the moving least squares method, more precisely in the Generalized Finite Difference Method which allows us to select well-conditioned stars. Several 2D and 3D examples including the time variable are shown for both regular and irregular node distributions. The results are compared with explicit GFDM both in terms of errors and execution time.Publicación Application of finite element method to create a digital elevation model(MDPI, 2023-03-21) Conde López, Eduardo Roberto; Salete Casino, Eduardo; Flores, Jesús; Vargas Ureña, Antonio Manuel; https://orcid.org/0000-0002-6280-523XThe generation of a topographical surface or digital elevation model for a given set of points in space is a known problem in civil engineering and topography. In this article, we propose a simple and efficient way to obtain the terrain surface by using a structural shell finite element model, giving advice on how to implement it. The proposed methodology does not need a large number of points to define the terrain, so it is especially suitable to be used with data provided by manual topographical tools. Several examples are developed to demonstrate the easiness and accuracy of the methodology. The digital terrain model of a real landscape is modeled by using different numbers of points (from 49 to 400) using a regular mesh or a randomly generated cloud of points. The results are compared, showing how the proposed methodology creates a sufficiently accurate model, even with a low number of points (compared with the thousands of points handled in a LiDAR representation). A real case application is also shown. As an appendix, the sample code to generate the examples is provided.Publicación An effective numeric method for different formulations of the elastic wave propagation problem in isotropic medium(Elsevier, 2021-08) Salete Casino, Eduardo; Vargas Ureña, Antonio Manuel; García, Ángel; Benito Muñoz, Juan J.; Ureña, Francisco; Ureña, MiguelThis paper shows how the Generalized Finite Difference Method allows the same schemes in differences to be used for different formulations of the wave propagation problem. These formulations present pros and cons, depending on the type of boundary and initial conditions at our disposal and also the variables we want to compute, while keeping additional calculations to a minimum. We obtain the explicit schemes of this meshless method for different possible formulations in finite differences of the problem. Criteria for stability and convergence of the schemes are given for each case. The study of the dispersion of the phase and group velocities presented in previuos paper of the authors is also completed here. We show the application of the propounded schemes to the wave propagation problem and the comparison of the efficiency, convenience and accuracy of the different formulations.Publicación Complex Ginzburg–Landau Equation with Generalized Finite Differences(MDPI, 2020-12-20) Salete Casino, Eduardo; Vargas Ureña, Antonio Manuel; García, Ángel; Negreanu, Mihaela; Benito Muñoz, Juan J.; Ureña, FranciscoIn this paper we obtain a novel implementation for irregular clouds of nodes of the meshless method called Generalized Finite Difference Method for solving the complex Ginzburg–Landau equation. We derive the explicit formulae for the spatial derivative and an explicit scheme by splitting the equation into a system of two parabolic PDEs. We prove the conditional convergence of the numerical scheme towards the continuous solution under certain assumptions. We obtain a second order approximation as it is clear from the numerical results. Finally, we provide several examples of its application over irregular domains in order to test the accuracy of the explicit scheme, as well as comparison with other numerical methods.Publicación Application of generalised finite differences method to reflection and transmission problems in seismic SH waves propagation(Wiley, 2017-01-09) Ureña, Miguel; Benito Muñoz, Juan J. ; Ureña, Francisco; Salete Casino, Eduardo; Gavete, Luis; Muelas Rodríguez, ÁngelA matrix formulation of the generalised finite difference method is introduced. A necessary and sufficient condition for the uniqueness of the solution is demonstrated, and important practical consequences are obtained. A generalised finite differences scheme for SH wave is obtained, the stability of the scheme is analysed and the formula for the velocity of the wave due to the scheme is obtained in order to deal with the numerical dispersion. The method is applied to seismic waves propagation problems, specifically to the problem of reflection and transmission of plane waves in heterogeneous media. A heterogeneous approach without nodes at the interface is chosen to solve the problem in heterogeneous media.