곡면의 특이적분을 위한 가상 매핑 방법
Pseudo Mapping Method for Singular Integral of Curved Panels
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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.
Abstract
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.
참고문헌 (5)
- Guiggiani, M., "A General Algorithm for Multidimensional Cauchy Principal Value Integrals in the Boundary Element Method", Journal of Applied Mechanics, 57(4), pp.906~915 (1990)[DOI]
- Guiggiani. M., "A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations", Journal of Applied Mechanics, 59(3), pp.604~614 (1992)[DOI]
- Liu, Y. H., "Comparison of Higher-order Boundary Element and Constant Panel Methods for Hydrodynamic Loadings", International Journal of Offshore and Polar Engineering, 1(1), pp.8~17 (1991)
- Lv, J. H., "Efficient Evaluation of Integrals with Kernel 1", rx for Quadrilateral Elements with Rrregular Shape, 2015, pp.61, 33~41
- Rong, J., "Efficiency Improvement of the Polar Coordinate Transformation for Evaluating BEM Singular Integrals on Curved Elements", Engineering Analysis with Boundary Elements, 38, pp.83~93 (2014)[DOI]