Methods for Boundary-Value Problems in Free-Surface Flows: The Third David W. Taylor Lecture, 27 August through 19 September 1974,

Several methods are presented that are useful for solving free-surface boundary-value problems separation of variables and the Fourier method the method of reduction and reflection the method of Green functions and the method of multipoles. Each method is illustrated by one or more examples. In the examples the fluid is assumed to be inviscid and incompressible and the flow irrotational. The boundary conditions have been linearized. The examples themselves are all concerned with diffraction and forced motion. Although the methods are applicable to a much wider class of problems, this restriction allows a simple formulation of the physical problem and immediate involvement with the method itself.