On irrotational flows equivalent to the boundary layer and wake

Interactions between Wavemaking and the Boundary Layer and Wake of a Ship Model

“…However, since it has been shown by Gadd (1963), and Swain and Landweber (1974) that the wavemaking of vorticity is negligible, and by Preston (1954), LighthilI (1958), and Landweber (1978 that the irrotational flow equivalent to a boundary layer and wake can be~enerated by either certain distribution of sourees or doublets, or as the flow about a form thickened by the displacement thickness, it appears that the more sophisticated and difficuIt calculations employing Oseenlets would not yield results for wavemaking essentially different from those employing the displacement thickness.…”

“…The relationship between the flow exterior to a boundary layer and wake, and the concept of displacement thickness and the source distribution which generates the outer irrotational flow were examined in detail for the case of two-dimensional and axisymmetric bodies by Preston (1945), Lighthlll (1958), and Landweber (1978. In continuation of his work, Landweber (1981), using an extension of the analysis used in the two-d1mensional case, derived a secondorder approximation for a centerplane source distribution for a ship form.…”

A highly accurate collocation Trefftz method for solving the Laplace equation in the doubly connected domains

“…For this reason there were many researchers devoted to overcome the difficulties arised from the perplexing singularities in the boundary integral equations. At the first, Landweber and Macagno [3] have proposed a method to get rid of the singularity by substracting a function from the integrand so that the kernel becomes nonsingular, and then adding back an accurate integration of the function to the integral equation. This method was modified and referred to as the nonsingular boundary integral method in [4,5], or the desingularized boundary integral method in [6].…”