Mesh construction with prescribed properties near boundary

Abstract

A quasi-conformal mapping of the parametric domain onto the underlying physical domain is used to generate a 2D structured mesh with required properties: grid line orthogonality and prescribed mesh point clustering near the domain boundary. The functions implementing the mapping are sought by solving the Dirichlet problem for the elliptic partial differential equations. An additional control for the cell shape is executed by introducing a local mapping. Example of the mesh near the airfoil is presented. © 2010 Springer-Verlag Berlin Heidelberg.