Uma análise da Transformada de Hotelling na qualidade de malhas geradas em paralelo

Abstract

Triangular meshes are widely used in various applications for real-world computer studies and simulations. Seeking to generate increasingly refined meshes, proposed parallel mesh generation methods have been presented in the literature. However, one of the largest problems is how the domain decomposition will be performed in several subdomains to be distributed among the processors /threads responsible for generating a mesh. A bad division of the domain can lead to a load imbalance or can deteriorate the quality of the mesh. This work proposes a technique to improve the partitioning, using concepts of Principal Component Analysis and Linear Transformations, with the objective of evaluating the influence of the technique on the quality of the generated elements. In the end, this work presents statistical results that show how this technique affected positively the quality of the mesh generated in models that present an orientation of the local axes disaligned to the global axes.