An extended wide-spacing approximation for two-dimensional water-wave problems in infinite depth

Abstract

This paper considers the wide-spacing approximation when applied to twodimensional linear problems involving the scattering and radiation of water waves by structures in a fluid of infinite depth. The approximation is set into the context of a formal expansion procedure and an extended approximation is obtained. The extended approximation significantly improves the accuracy of calculations for submerged structures when compared with the standard approximation procedure based on plane-wave interactions.