Abstract:

Crane, L.J. & Heil, M. (1995) The Summation of Slowly Convergent Double Series and Application to Fluid-Mechanics. Zeitschrift fur angewandte Mathematik und Mechanik 75 , 403-407.

In a previous paper a summation technique for slowly convergent double series of a special form has been developed. This paper extends the technique to double series which can be associated with the superposition of source functions on an infinite parallelogram grid. The more general case of an arbitrary regular grid can be dealt with as well since every regular grid can be decomposed into a sum of parallelogram grids. In the first part of this paper we introduce the summation technique, the second part demonstrates its use in an application to the problem of slow viscous flow past regular arrays of obstacles.