DOI QR코드

DOI QR Code

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
정태화;류용욱

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

Abstract

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.

Keywords

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

References

  1. 정원무, 이길성, 박우선, 채장원 (1998). 확장형 완경사방정식에 기초한 Galerkin 유한요소 모형, 한국해안해양공학회지, 10, 174-186.
  2. 정태화, 강규영, 조용식 (2007). 해저 지형을 이용한 연직 구조물의 처오름 감소, 한국해안해양공학회지, 19, 436-445.
  3. 천제호, 안경모 (2006). 완경사 방정식에서 간편화된 파의 부분 반사 및 투과 처리기법, 한국해안해양공학회지, 18, 84-96.
  4. Bellotti, G., Beltrami, G.M. and Girolamo, P.D. (2003). Internal generation waves in 2D fully elliptic mild-slope FEM models, Coastal Engineering, 49, 71-81. https://doi.org/10.1016/S0378-3839(03)00047-4
  5. Berkhoff, J.C.W. (1972). Computation of combined refraction diffraction, Proceedings of 13th International Conference on Coastal Engineering, ASCE, 471-490.
  6. Dean, R.G. (1964). Long wave modification by linear transitions, Rev. Mat. Hisp.-Am, 1 (90), 1-29.
  7. Larsen, J. and Darcy, H., 1983. Open boundaries in short wave simulations - a new approach, Coastal Engineering, 7, 285-297. https://doi.org/10.1016/0378-3839(83)90022-4
  8. Lee, C. and Suh, K.D. (1998). Internal generation of waves for time-dependent mild-slope equations, Coastal Engineering, 34, 35-57. https://doi.org/10.1016/S0378-3839(98)00012-X
  9. Panchang, V., Chen, W., Xu, B., Schlenker, K., Demirbilek, Z. and Okihiro, M. (2000). Exterior bathymetric effects in elliptic harbor wave models, J. of Waterway, Port, Coastal, and Ocean Engineering, 126, 71-78. https://doi.org/10.1061/(ASCE)0733-950X(2000)126:2(71)
  10. Park, W.S., Chun, I.S. and Jeoung, W.M. (1994). Infinite element for the analysis of harbor resonances, J. KSCOE, 6, 139-149
  11. Tsay, T. and Liu, P.L.-F. (1983). A finite element model for wave refraction and diffraction, Journal of Fluid Mech., 72, 373-384.