Two-dimensional mesh generator and quality analysis of elements on the curvilinear coordinates system

Abstract

Through mathematical models, it is possible to turn a problem of the physical domain to the computational domain. In this context, the paper presents a two-dimensional mesh generator in generalized coordinates, which uses the parametric linear spline method and partial differential equations. The generator is automated and able to treat real complex domains and, consequently, more realistic problems. However, there is a possibility that lower quality elements may be introduced into the computational mesh. Thus, metrics are investigated that identify elements considered to be of lower quality. Experiments are carried out to verify the efficiency of the adopted metrics, considering meshes with single block, and multi-blocks. According to the experiments, the work allowed the detection of elements of lower quality, contributing to the realization of an adequate modeling of geometries

Keywords

• automated two-dimensional mesh generator
• parametric linear spline
• generalized coordinates
• python language