A COMBINED SPECTRAL FINITE-DIFFERENCE METHOD FOR LINEAR AND NONLINEAR WATER WAVE PROBLEMS

摘要

Numerical solutions to transient linear and nonlinear water wave problems are obtained using a finite-difference method for the time advancement coupled with a series expansion method for the velocity potential. The expansion is in terms of functions which satisfy the Laplace equation and certain of the boundary conditions. The method described is applicable to fluids of finite or infinite depth and horizontal extent.