Analytic elements of smooth shapes

- We propose smooth shapes suitable for modeling of objects using AEM.
- The shapes are suitable for modeling lakes or impermeable objects.
- The formulas for the mathematical description of the lakes can be pre-computed.

We present a method for producing analytic elements of a smooth shape, obtained using conformal mapping. Applications are presented for a case of impermeable analytic elements as well as for head-specified ones. The mathematical operations necessary to use the elements in practical problems can be carried out before modeling of flow problems begins. A catalog of shapes, along with pre-determined coefficients could be established on the basis of the approach presented here, making applications in the field straight forward.