Treatment of Inclined Boundaries in a Finite Element Model for the Mild-Slope Equation

완경사 방정식을 이용한 유한요소모형에서 경사경계의 처리

Jung, Tae-Hwa;Ryu, Yong-Uk

  • Received : 2011.10.04
  • Accepted : 2012.03.05
  • Published : 2012.04.30


A numerical skill for effective treatment of inclined boundaries in a finite element method is introduced. A finite element method has been frequently used to simulate hydraulic phenomena in a coastal zone since it can be applied to irregular and complex geometry. In case elliptic partial equations are governing equations for a finite element model, however, there is a difficulty in treating boundary conditions properly for cases in which boundaries are vertically inclined. In this study, a method to treat such inclined boundaries using Bessel functions for a finite element method is introduced and compared with analytical solutions.


finite element method;sloping boundary;Bessel function;Mild-Slope equation


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