2D Higher order triangular mesh generation in irregular domain for finite element analysis using MATLAB

Abstract

This paper presents an automated mesh generation for straight and curved sided irregular domains with unstructured two dimensional higher order triangular elements. The present higher order (HO) scheme has been implemented on the basis of subparametric transformations which are extracted from the nodal relations of parabolic arcs especially used for the curved domains. This new restructured meshing scheme is based on distmesh2d introduced by Persson and Gilbert Strang. In this work a higher order triangular mesh for two irregular domains star shaped domain and a circle inscribed in a rectangle has been constructed. These in turn is able to find its application in abundant flow problems and thermodynamics. Present innovative meshing scheme provides a refined and improved high quality meshes for these domains and produce accurate results of the node position, boundary edges and element connectivity for the discretized element. This is an advantage in executing finite element method with less computational efforts in practical engineering applications over the irregular domains.