A doublet-lattice method for calculating lift distributions on oscillating surfaces in subsonic flows.

TLDR

The paper develops a doublet‑lattice approach to approximate linearized solutions by representing the oscillating surface as a set of short lifting elements. The method computes the normal velocity induced by each unit‑strength element through an integral of the subsonic kernel and determines the load on each element by enforcing normal velocity boundary conditions at discrete points on the surface. The resulting lift distributions agree with a posteriori expectations, validating the doublet‑lattice formulation.

Abstract

Approximate solutions from the linearized formulation are obtained by idealizing the surface as a set of lifting elements which are short line segments of acceleration-potential doub? lets. The normal velocity induced by an element of unit strength is given by an integral of the subsonic kernel function. The load on each element is determined, by, satisfying normal velocity boundary conditions at a set of points oil the surface. It is seen a posteriori