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Salete Casino, Eduardo

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0000-0003-1863-9972
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Salete Casino
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Eduardo
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2017 - 201942020 - 20233
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Autor: Benito Muñoz, Juan J. ×

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Mostrando 1 - 7 de 7
  • Miniatura
    Publicación
    Generalized finite difference method applied to solve seismic wave propagation problems. Examples of 3D simulations
    (Wiley, 2023) Flores, Jesús; Salete Casino, Eduardo; Benito Muñoz, Juan J.; Vargas Ureña, Antonio Manuel; Conde, Eduardo R.; https://orcid.org/0000-0001-5201-4277
    The simulation of seismic wave propagation generally requires dealing with complex tridimensional geometries that are irregular in shape 11 and have non-uniform properties, features that make interesting the application of the generalized finite difference method in this field. 12 This work continues the extensive developments by the research team focused on the simulation of seismic wave propagation in two-13 dimensional domains. In this new contribution, the general formulation and the treatment of free surface boundary conditions are 14 extended for the three-dimensional case and the results obtained from different examples are analyzed.
  • Miniatura
    Publicación
    The Application of the Generalized Finite Difference Method (GFDM) for Modelling Geophysical Test
    (Wiley, 2019-04-10) Muelas Rodríguez, Ángel; Salete Casino, Eduardo; Benito Muñoz, Juan J.; Ureña, Francisco; Gavete, Luis; Ureña, Miguel
    A 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.
  • Miniatura
    Publicación
    A new meshless approach to deal with interfaces in seismic problems
    (Elsevier, 2018-06) Benito Muñoz, Juan J.; Ureña, Francisco; Ureña, Miguel; Salete Casino, Eduardo; Gavete, Luis
    Since methods based on finite differences are the dominant methods for seismic wave propagation, the generalized finite differences method may join with them to offer its main advantage, the possibility of using an irregular cloud of nodes. We analyze the problem of a plane wave in a heterogeneous medium. We obtain heterogeneous schemes for P-SV and SH waves, considering the elastic parameters and the density as linear functions. With the aim of analyzing the accuracy of these schemes we compare the obtained amplitudes with the theoretical amplitudes for reflected and transmitted waves and we verify that the convergence order is preserved.
  • Miniatura
    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, Luis
    Seismic 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.
  • Miniatura
    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, Miguel
    This 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.
  • Miniatura
    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, Francisco
    In 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.
  • Miniatura
    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, Ángel
    A 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.