한국해양공학회지 (Journal of Ocean Engineering and Technology)

  • 제33권1호
  • /
  • Pages.17-25
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  • 2019
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  • 1225-0767(pISSN)
  • /
  • 2287-6715(eISSN)
한국해양공학회 (Korean Society of Ocean Engineers)
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곡면의 특이적분을 위한 가상 매핑 방법

Pseudo Mapping Method for Singular Integral of Curved Panels

  • 이익재 (부산대학교 조선해양공학과) ;
  • 권순홍 (부산대학교 조선해양공학과)
  • Lee, Ik-Jae (Department of Naval Architecture and Ocean Engineering, PNU) ;
  • Kwon, Sun-Hong (Department of Naval Architecture and Ocean Engineering, PNU)
  • 투고 : 2019.01.09
  • 심사 : 2019.02.22
  • 발행 : 2019.02.28
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초록

A numerical method is suggested for evaluating the singular integral of curved panels in the higher-order boundary element method. Two-step mapping procedures that are significantly related to the physical properties of singular behaviors were developed and illustrated. As a result, the singular behaviors were significantly alleviated, and the efficiency and robustness of the present method for tangentially and axially deformed elements were proven. However, inaccuracies and numerical instabilities of twisted elements were discovered as a result of nonlinearities.

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참고문헌

  1. Guiggiani, M., Gigante. A., 1990. A General Algorithm for Multidimensional Cauchy Principal Value Integrals in the Boundary Element Method. Journal of Applied Mechanics, 57(4), 906-915. http://www.doi.org/10.1115/1.2897660
  2. Guiggiani. M., Krishnasamy, G., Rudolphi, T.J., Rizzo, F.J., 1992. A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations. Journal of Applied Mechanics, 59(3), 604-614. http://www.doi.org/10.1115/1.2893766
  3. Liu, Y.H., Kim, C.H., Lu, X.S., 1991. Comparison of Higher-order Boundary Element and Constant Panel Methods for Hydrodynamic Loadings. International Journal of Offshore and Polar Engineering, 1(1), 8-17.
  4. Lv, J.H., Feng, X.T., Yan, F., Jiang, Q., 2015. Efficient Evaluation of Integrals with Kernel $1/r^x$ for Quadrilateral Elements with Rrregular Shape. Engineering Analysis with Boundary Elements, 61, 33-41. https://doi.org/10.1016/j.enganabound.2015.06.010
  5. Rong, J., Wen, L., Xiao, J., 2014. Efficiency Improvement of the Polar Coordinate Transformation for Evaluating BEM Singular Integrals on Curved Elements. Engineering Analysis with Boundary Elements, 38, 83-93. https://doi.org/10.1016/j.enganabound.2013.10.014