Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/42399
Title: Discretization of the region of interest
Authors: Cascón, J. Manuel
Escobar, José María 
Montenegro, Rafael 
UNESCO Clasification: 1206 Análisis numérico
Keywords: Mesh-Refinement
Triangulations
Issue Date: 2018
Publisher: 1865-3529
Journal: Green Energy and Technology 
Abstract: Themeccano methodwas recently introduced to construct simultaneously tetrahedral meshes and volumetric parameterizations of solids. The method requires the information of the solid geometry that is defined by its surface, a meccano, i.e., an outline of the solid defined by connected polyhedral pieces, and a tolerance that fixes the desired approximation of the solid surface. The method builds an adaptive tetrahedral mesh of the solid (physical domain) as a deformation of an appropriate tetrahedral mesh of the meccano (parametric domain). The main stages of the procedure involve an admissible mapping between the meccano and the solid boundaries, the nested Kossaczky's refinement, and our simultaneous untangling and smoothing algorithm. In this chapter, we focus on the application of the method to build tetrahedral meshes over complex terrain, that is interesting for simulation of environmental processes. A digital elevation map of the terrain, the height of the domain, and the required orography approximation are given as input data. In addition, the geometry of buildings or stacks can be considered. In these applications, we have considered a simple cuboid as meccano.
URI: http://hdl.handle.net/10553/42399
ISSN: 1865-3529
DOI: 10.1007/978-3-319-76876-2_3
Source: Green Energy and Technology[ISSN 1865-3529], p. 65-85
Appears in Collections:Capítulo de libro
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