High Solitary Waves in Water: A Refined Numerical Method.
Abstract
Formerly, finite difference calculations of solitary wave properties gave results different from those obtained from independent methods. Calculations based on an expansion in powers of a small quantity, supplemented by the use of Pade approximates, and calculations based on an integral equation for the wave profile are in satisfactory agreement, except possibly for the highest waves. This report refines and extends a numerical method based on Fourier series solutions of the governing equations. The resultant solitary wave properties agree with those found by independent methods to several significant figures, except for waves having amplitudes within a few percent of that of the highest wave. There appears to be little degradation in the method's accuracy for the highest and very high waves, when compared to waves of intermediate height. This report discusses possible reasons for the failure of other numerical work to achieve high accuracy. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 30, 1981
- Accession Number
- ADA107041
Entities
People
- James M. Witting
- John M. Bergin
Organizations
- United States Naval Research Laboratory