ON THE THEORY OF WATER WAVES

The aim of this paper is to formulate a two-dimensional theory for the propagation of fairly long water waves. The approach differs from the usual in that the theory is set up via two-dimensional postulates. Subsequently, it is shown how a simple three-dimensional approximation enables us to relate the two-dimensional theory to the three-dimensional theory. The resulting equations are used to discuss the unidirectional propagation of waves. It is shown how the results obtained from the theory proposed here are related to the results of Korteweg and de Vries (1895) and to those of Benjamin, Bona and Mahony (1972).

• Corporate Authors:

  University of California, Berkeley

  Department of Mechanical Engineering
  Berkeley, CA  United States  94720-1740
• Authors:
  • Green, A E
  • Laws, N
  • Naghdi, P M
• Publication Date: 1974-2

Media Info

• Features: References;
• Pagination: 25 p.

Subject/Index Terms

• TRT Terms: Gravity waves; Water waves; Wave motion; Waves
• Old TRIS Terms: Wave theory
• Subject Areas: Design; Hydraulics and Hydrology; Marine Transportation;

Filing Info

• Accession Number: 00057034
• Record Type: Publication
• Source Agency: Ship Structure Committee
• Report/Paper Numbers: AM-74-1 Tech. Rpt.
• Contract Numbers: N00014-69A-0200-1008
• Files: TRIS
• Created Date: Jul 31 1974 12:00AM