ABSTRACT

Some general considerations apply to the use of nonuniform grids. Foremost of these considerations is that the nonuniform grid point distribution should reflect the nonuniform nature of the solution. For example, if the exact solution has a particular functional form, the nonuniform grid point distribution should attempt to match that functional form. Secondarily, the nonuniform grid point distribution should be relatively smooth. Abrupt changes in the grid point distribution can yield undesirable abrupt changes in the solution.