THE DESIGN OF SMOOTH, CONSERVATIVE VERTICAL GRIDS FOR INTERACTIVE GRID NESTING WITH STRETCHING

This note describes how to generate vertically stretched grids within the context of vertical nesting that are consistent with the conservat ive interpolation formula used by Clark and Farley. It is shown that a ll nested grids derive their structure directly from the parent grid, where the only flexibility allowed for nested grids is their grid rati o relative to the parent grid. Formulas are presented that can be used to analyze resulting nested grid structures, and an example showing h ow these formulas were used to generate relatively smooth inner meshes is described. Suggestions for further improvements in grid design are also provided.