Construction of grid ortogonal near boundary of two-dimensional domain with prescribed nodal clustering

It is considered a method of generating a structured mesh on a two-dimensional domain by using a mapping of the parametric domain with the square mesh onto the underlying domain. Functions, implementing the mapping, are sought by solving the Dirichlet problem for the system of quasi-linear elliptic partial differential equations of the second order. With aim of controlling grid line location, it is implemented an additional local mapping which induces a control metric. The additional mapping allows obtaining mesh with lines orthogonal to the domain boundary and with prescribed mesh point clustering near the domain boundary. An example of mesh generation around an airfoil is presented.