A system and method for automatically generating a computation mesh for use with an analytical tool, the computation mesh having a plurality of ξ-grid lines and η-grid lines intersecting at mesh points positioned with respect to an inner boundary and an outer boundary. The system and method includes receiving information corresponding to a shape to be analyzed, ξ-grid line mesh parameter value corresponding to a desired number of ξ-grid lines for the computation mesh, and an η-grid line mesh parameter value corresponding to a desired number of η-grid lines for the computation mesh, and generating the computation mesh from one or more mesh equations without the need for receiving additional information from a user. In one example, the solving of the one or more mesh equations includes an outer boundary distance parameter that is a function of an inner boundary distance parameter and one of a natural log of the η-grid line mesh parameter value and a square root of the η-grid line mesh parameter value.