Applications of precorrected-FFT method to higher-order boundary element method for wave-body problem

JIANG Sheng-chao; TENG Bin; GOU Ying; NING De-zhi

Article Contents

Article Navigation > Haiyang Xuebao > 2011 > 33(3): 38-46

JIANG Sheng-chao, TENG Bin, GOU Ying, NING De-zhi. Applications of precorrected-FFT method to higher-order boundary element method for wave-body problem[J]. Haiyang Xuebao, 2011, 33(3): 38-46.

Citation:

JIANG Sheng-chao, TENG Bin, GOU Ying, NING De-zhi. Applications of precorrected-FFT method to higher-order boundary element method for wave-body problem[J]. Haiyang Xuebao, 2011, 33(3): 38-46.

JIANG Sheng-chao, TENG Bin, GOU Ying, NING De-zhi. Applications of precorrected-FFT method to higher-order boundary element method for wave-body problem[J]. Haiyang Xuebao, 2011, 33(3): 38-46.

Citation:

JIANG Sheng-chao, TENG Bin, GOU Ying, NING De-zhi. Applications of precorrected-FFT method to higher-order boundary element method for wave-body problem[J]. Haiyang Xuebao, 2011, 33(3): 38-46.

PDF( 1197 KB)

Applications of precorrected-FFT method to higher-order boundary element method for wave-body problem

1.
State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China
2.
State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China;State Key Laboratory of Ocean Engineering, Shanghai Jiaotong University, Shanghai 200030,China

Received Date: 2010-10-25

Abstract

Abstract

Boundary element method (BEM) has been widely applied in the field of wave interaction with offshore structures, but it is still difficult to resolve the large-scale problems because of computer storage and computing cost by O(N²) order for traditional BEM. the precorrected fast Fourier transform method (pFFT) combined with higher-order boundary element method is developed to reduce the computing cost and the required memory by O(N) order in frequency-domain analyses. The continuous pressure distribution can be obtained for the structural design. Using a free-surface Green function for infinite depth, the disadvantage of fast multipole boundary element method, i.e., unable to solve infinite deep water wave problems, can be overcome. Numerical examinations show that the pFFT method has more evident advantages in saving memory and computing time, especially for large-scale problems, over the traditional BEM.
- higher-order boundary element method,
- precorrected fast Fourier transform method,
- infinite depth,
- free-surface Green function

FullText(HTML)

References(26)

References

李玉成, 滕斌. 波浪对海上建筑物的作用(第2版)[M].北京:海洋出版社, 2002.

GARRISON C J. Hydrodynamic loading on large offshore structures: three-dimensional source distribution method[M]//Numerical Methods in Offshore Engineering.Chichester: Wiley,1978: 87-140.

LIU Y H, KIM C H, LU X S. Comparison of higher-order boundary element and constant panel methods for hydrodynamic loadings[J].Jour Offshore and Polar Eng, 1991, 1(1): 8-17.

NEWMAN J N, LEE C H. Boundary-element methods in offshore structure analysis[J]. Journal of Offshore Mechanics and Arctic Engineering, 2002, 124: 81-89.

崔维成, 吴有生, 李润培. 超大型海洋浮式结构物开发过程中需要解决的关键技术问题[J]. 海洋工程, 2000, 18(3): 1-8.

勾莹, 滕斌, 宁德志.波浪与两相连浮体的相互作用[J]. 中国工程科学, 2004, 6(7): 75-93.

TENG B, SAITO M, KATO S.Mean drift force on a huge shallow drafted floating brage //13th Ocean Engineering Symposium.Tokyo,1995:337-344.

ROKHLIN V. Rapid solution of integral equations of classical potential theory[J].Jour Comp Phys, 1985, 60: 187-207.

NABORS K, PHILLIPS J, KORSMEYER F T, et al. Multipole and precorrected-FFT accelereated iterative methods for solving surface integral formulations of three-dimensional Laplace problems //Domain-based Parallelism and Problem Decomposition Methods in Science and Engineering.SIAM, Philadelphia, 1995: 193-215.

UTSUNOMIYA T, WATANABE E.Accelerates higher order boundary element method for wave diffraction/radiation problems and its applications //Proc of the Twelfth International Offshore and Polar Eng Conf, Kyushu, 2002, 3:305-312.

TENG B, EATOCK Taylor R.New higher-order boundary element methods for wave diffraction/radiation[J]. Applied Ocean Research, 1995, 17(2): 71-77.

勾莹, 滕斌, 孙亮. 柱坐标下多极子展开法及其在波浪与浮体作用方面的应用[J]. 中国造船, 2005, 46(增刊): 299-307.

滕斌, 勾莹, 宁德志. 波浪与结构物作用的一种高阶边界元方法[J]. 海洋学报, 2006, 28(1): 132-138.

GOU Y, TENG B. Research on hydrodynamics interaction between multiple floating bodies //Proceedings of the 8th International Conference on Hydrodynamics,ICHD: Nates.2008:237-244.

滕斌, 勾莹, 大型浮体水弹性作用的频域分析[J]. 工程力学, 2006. 23(增刊Ⅱ): 36-48.

LEE C-H, NEWMAN J N. Computation of wave effects using the panel method[M]//CHAKRABARTI S K.Numerical Models in Fluid-Structure Interaction.Southampton: WIT Press, 2004.

PHILLIPS J R, WHITE J K. A precorrected-FFT method for electrostatic analysis of omplicated 3-D structures[J]. IEEE Trans on Computer-Aided Design, 1997, 16(10): 1059-1072.

KORSMEYER F T, at al. Fast hydrodynamic analysis of large offshore structures //Proceedings of Ninth Int’l Offshore and Polar Engineering Conf. ISOPE: Brest.1999: 27-34.

KRING D, KORSMEYER T, SINGER J, at al. Analyzing mobile offshore bases using accelerated boundary element methods[J].Marine Structures, 2000,13: 301-313.

戴愚志, 秦昌威, 黄小平. 基于预修正快速傅里叶变换方法的大型离岸结构水弹性分析[J]. 燕山大学学报, 2004, 28(2): 150-154.

戴愚志,宋竞正,曾骥,等.预修正快速傅里叶变换方法在波物相互作用分析中的应用[J].水动力学研究与进展, 2004, 19(3): 361-369.

戴愚志, 余建星. 基于预修正快速傅里叶变换方法的多体水动力分析[J].中国海上油气, 2006,18(4): 280-284.

TENG B, GOU Y, NING D Z. A higher order BEM for wave-current action with structure-directory computation of free-term coefficient and CPV intergrals[J]. China Ocean Engineering, 2006, 20(3): 395-410.

KORSMEYER T, PHILLIPS J, WHITE J.A precorrected-FFT algorithm for accelerating surface wave problems //11^th Int’l. Workshop on Water Waves and Floating Bodies.Hamburg: Germang, 1996.

STROUD A H. Approximate Calculation of Multiple Integrals[M].New Jersey:PrenticeOHall, Englewood Cliffs,1971.

Van LOAN C. Computational Frameworks for the Fast Fourier Transform[M].Philadelphia: S IAM, 1992.

Relative Articles

Supplements(0)

Cited By

Proportional views