Proceedings of the Korea Committee for Ocean Resources and Engineering Conference (한국해양공학회:학술대회논문집)

Korean Society of Ocean Engineers (한국해양공학회)
권호 표지

A Study on Nonlinear Water-Wave Profile

비선형 해양파의 파형 연구에 관하여

  • JANG TAEK-SOO (Department of Naval Architecture and Ocean Engineering, Pusan National University) ;
  • WANG SUNG-HYUNH (Department of Naval Architecture and Ocean Engineering, Pusan National University) ;
  • KWON SUN-HONG (Presently Visiting scholar at Civil Engineering Department in Texas A&M University)
  • 장택수 (부산대학교 조선해양공학과) ;
  • 황성현 (부산대학교 조선해양공학과) ;
  • 권순홍 (부산대학교 조선해양공학과)
  • Published : 2004.11.01
Download PDF
⟨ Previous Next ⟩

Abstract

This paper deals with a new mathematical formulation of nonlinear wave profile based on Banach fixed point theorem. As application of the formulation and its solution procedure, some numerical solutions was presented in this paper and nonlinear equation was derived. Also we introduce a new operator for iteration and getting solution. A numerical study was accomplished with Stokes' first-order solution and iteration scheme, and then we can know the nonlinear characteristic of Stokes' high-order solution. That is, using only Stokes' first-oder(linear) velocity potential and an initial guess of wave profile, it is possible to realize the corresponding high-oder Stokian wave profile with tile new numerical scheme which is the method of iteration. We proved the mathematical convergence of tile proposed scheme. The nonlinear strategy of iterations has very fast convergence rate, that is, only about 6-10 iterations arc required to obtain a numerically converged solution.

Keywords