Documents published in Scipedia

• Estimation of peak flow in flood-producing rivers using numerical simulation, geospatial information and evolutionary algorithms

  H. Esqueda, S. Botello, S. Valdez

  Rev. int. métodos numér. cálc. diseño ing. (2024). Vol. 40, (3), 37

  
  

  Abstract

  Floods produce enormous human and material losses every year. Evaluating their extent and severity, and especially simulating possible future scenarios can improve the response, mitigation and prevention of the effects of this phenomenon. This paper presents a methodology to reproduce the extent of floods produced by channel overflows and recorded by satellite images, identifying the maximum discharge that produced it by means of the numerical solution of the 2D shallow water equations and Differential Evolution. The objective is to minimize the difference between the extent of the flooded area recorded in the satellite images, and that obtained in the simulation by adjusting the maximum value of the flow curve used at the entrance of the channel in the solution domain. The proposal is applied to data and images corresponding to an area located south of the city of Villahermosa, in the Mexican state of Tabasco, which is an area susceptible to flooding by the overflow of the Río de la Sierra. Our proposal shows that it is possible to have more accurate information on the extent and height of water in the flooded area than that shown by the satellite, which can be used as information for prevention and mitigation plans for the adverse effects of flooding. Palabras clave: Modelado de inundaciones, gasto máximo en ríos, Iber, evolución diferencial

  Abstract
  Floods produce enormous human and material losses every year. Evaluating their extent and severity, and especially simulating possible future scenarios can improve the response, [...]

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• Anisotropy in 2D Discrete Exterior Calculus

  . , H. Esqueda, R. Herrera, S. Botello, C. Valero

  Collection title not available (2020). 1

  
  

  Abstract

  We present a local formulation for 2D Discrete Exterior Calculus (DEC) similar to that of the Finite Element Method (FEM), which allows a natural treatment of material heterogeneity (assigning material properties element by element). It also allows us to deduce, in a principled manner, anisotropic fluxes and the DEC discretization of the pullback of 1-forms by the anisotropy tensor, i.e. we deduce the the discrete action of the anisotropy tensor on primal 1-forms. Due to the local formulation, the computational cost of DEC is similar to that of the Finite Element Method with Linear interpolating functions (FEML). The numerical DEC solutions to the anisotropic Poisson equation show numerical convergence, are very close to those of FEML on fine meshes and are slightly better than those of FEML on coarse meshes.

  Abstract
  We present a local formulation for 2D Discrete Exterior Calculus (DEC) similar to that of the Finite Element Method (FEM), which allows a natural treatment of material heterogeneity [...]

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