Author(s)

S. Liapis

Abstract

A boundary integral equation method for water wave-structure interaction problems S. Liapis Aerospace and Ocean Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA ABSTRACT It is well known that at certain frequencies the boundary integral equation describing water wave-structure interactions does not have a unique solution. Large numerical errors occur in a frequency bandwidth close to each "irregular" frequency and the fact that these frequencies are not a priori known for a given body adds to the severity of the problem. The present work describes a new method to suppress the influence of the irregular frequencies. The boundary integral equation is supplemented with a set of moment equations-the null-field equations. The resulting overdetermined system is then solved by a least squares procedure. It is shown that this procedure will produce a unique solution. Numerical results for a sphere, a circular cylinder and

Keywords