Eventos Anais de eventos
COBEM 2019
25th International Congress of Mechanical Engineering
REVISITING AN ELLIPTIC NEARLY-ORTHOGONAL GRID GENERATION TECHNIQUE
Submission Author:
Kevin de Conde , SP
Co-Authors:
Kevin de Conde
Presenter: Kevin de Conde
doi://10.26678/ABCM.COBEM2019.COB2019-0021
Abstract
A nearly-orthogonal boundary-conforming grid generation technique based upon inhomogeneous elliptic par- tial differential equations is designed to address the mapping problem corresponding to the construction of a coordinate system fitted to a boundary of given shape, with a prescribed distribution of coordinate lines along all boundaries. The method for obtaining the inhomogeneous terms used to generate near-orthogonality along the boundaries is presented and discussed.T he resulting methodology have been proven to be a viable alternative to deal with typical problems of elliptic grid generation systems, such as the tendency of mesh squeezing next to concave and mesh spreading next to convex boundaries. The technique is tested using a benchmark case and it is evaluated based upon standard academic criteria. The results suggest the technique to be flexible, efficient and reliable and, as such, an interesting asset, especially for applications to complex geometries.
Keywords
boundary-conforming coordinate systems, inhomogeneous elliptic partial differential equations, Nearly- orthogonal grid
