Hydrodynamics and ellipsoidal harmonics

This paper presents the theoretical basis for treating hydrodynamic problems in which the use of ellipsoidal harmonics is necessary. Those include the water wave diffraction problem, the wave resistance problem and the added mass - attraction force calculation of an ellipsoid moving steadily close to a rigid wall. All these problems are tackled using Miloh’s theorem for the ultimate image singularity system of ellipsoidal harmonics.