A Boundary Integral Method for Two-Dimensional Water Waves
Abstract
A boundary integral solution to the two-dimensional, free-surface water wave problem is presented. The mathematical formulation involves application of potential theory and appropriate initial and boundary conditions to resolve the progression of the linear free-surface waves. The solution to the potential flow problem is represented, through Green's theorem, by a boundary integral method that is approximated via linear boundary panels. The resulting system of algebraic equations is solved for required flow parameters. The free surface is tracked at each time level by numerical integration of the linearized free-surface boundary conditions. Despite the use of linear panels, numerical results compare favorably with the exact linear theory and indicate that the computational scheme is able to track the development and propagation of steep waves over long periods of time. An analysis is also provided to aid in the development and numerical implementation of artificial or perfectly absorbing boundary conditions at the vertical, imaginary, truncated boundaries.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 31, 1997
- Accession Number
- ADA637056
Entities
People
- Isaac M. Kuria
- Steven A. Trogdon
Organizations
- Naval Undersea Warfare Center