Numerical grid generation

The solution of problems in Computational Fluid Dynamics (CFD), using finite difference, finite volume, or finite element techniques,requires the discretization of the computational domain into a set of points at which flow quantities are calculated. This set of points is called the computational grid, and the generation of such a grid is now an important activity in CFD. Experience has shown that the accuracy of numerical computations is influenced to a large extent by the grid used. Hence, grid generation techniques should allow some control over positioning of the grid points, in order to allow the generation of a suitable grid for a particular flow problem.We look at grid generation in two dimensions. Some of the techniques for three dimensional grid generation are discussed, but a discussion of grid generation methods for complex three dimensional shapes is beyond the scope of this course. The methods discussed are those with which the author has had some experience.