한국해양공학회지 (Journal of Ocean Engineering and Technology)

  • 제10권3호
  • /
  • Pages.96-104
  • /
  • 1996
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  • 1225-0767(pISSN)
  • /
  • 2287-6715(eISSN)
한국해양공학회 (Korean Society of Ocean Engineers)
권호 표지

유한수심 자유표면파 문제에 적용된 해밀톤원리

Hamilton제s Principle for the Free Surface Waves of Finite Depth

  • 김도영 (홍익대학교, 조선해양공학과)
  • 발행 : 1996.08.01
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초록

Hamilton's principle is used to derive Euler-Lagrange equations for free surface flow problems of incompressible ideal fluid. The velocity field is chosen to satisfy the continuity equation a priori. This approach results in a hierarchial set of governing equations consist of two evolution equations with respect to two canonical variables and corresponding boundary value problems. The free surface elevation and the Lagrange's multiplier are the canonical variables in Hamilton's sense. This Lagrange's multiplier is a velocity potential defined on the free surface. Energy is conserved as a consequence of the Hamiltonian structure. These equations can be applied to waves in water of finite depth including generalization of Hamilton's equations given by Miles and Salmon.

키워드

참고문헌

  1. J. Fluid Mech. v.27 A variational principle for a fluid with a free surface Luke,J.C.
  2. Classical Mechanics(2nd ed.) Golestein,H.
  3. Proc. Int. Sch. Phys. XXI Hydrodynamics of helium Ⅱ Lin,C.C.
  4. J. Fluid Mech. v.83 On Hamilton's principle for surface waves Miles,J.W.
  5. J. Fluid Mech. v.157 Weakly dispersive nonlinear gravity waves Miles,J.W.;Salmon,R.
  6. Applied Scientific Research v.37 Hamiltonian formulations for surface waves Miles,J.W.
  7. Ann. Rev. Fluid Mech. v.20 Hamiltonian fluid mechanics Salmon,R.
  8. 대한조선학회 논문집 v.27 no.3 자유표면파 문제에서의 해밀톤원리 적용에 대한 소고 김장환;배광준
  9. J. Fluid Mech. v.197 On direct meth ods in water-wave theory Shields,J.J.;Webster,W.C.
  10. J. Fluid Mech. v.78 A derivation of equations for wave propagation in water of variable depth Green,A.E.;Naghdi,P.M.