Two Dimensional Grid Transformation by Algebraic Method

Grid transformation in systematic form is used to smooth the meshing process. Through proper steps an orthogonal grid system of the unit square is applied for simulation. The basic grid conversion method suggests mainly constructing explicitly coordinate changes with the help of trans!nite interpolation. In this regard, blending functions are quite important. These apply matching of the grid arrangements at the boundaries and for different interior surfaces of a particular domain. The aim of this present work is to explain speci!c techniques of algebraic grid transformation through trans!nite algorithm in 2 dimensional spaces. Few irregular but structured domains are converted into regular structured domains through trans!nite algorithm to apply them in different !elds.