Application of Finite Element Method to Create a Digital Elevation Model

Eduardo Conde López, Eduardo Salete Casino (), Jesús Flores Escribano and Antonio Vargas Ureña
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Eduardo Conde López: Escuela Técnica Superior de Ingenieros de Caminos, Canales y Puertos, Universidad Politécnica de Madrid, 28040 Madrid, Spain
Eduardo Salete Casino: Escuela Técnica Superior de Ingenieros Industriales, Universidad Nacional de Educación a Distancia, 28040 Madrid, Spain
Jesús Flores Escribano: Escuela Técnica Superior de Ingenieros Industriales, Universidad Nacional de Educación a Distancia, 28040 Madrid, Spain
Antonio Vargas Ureña: Facultad de Ciencias, Universidad Nacional de Educación a Distancia, 28040 Madrid, Spain

Mathematics, 2023, vol. 11, issue 6, 1-16

Abstract: The 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.

Keywords: digital elevation model; finite element model; civil engineering; topography (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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