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.