NDLI: Approximation of Higher-Order Derivatives of the Frequency Domain Free Surface Green Function

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Shi, Yuyun Li, Hui Li, Zhifu Ren, Huilong
Copyright Year	2015
Abstract	The higher-order derivatives of the free-surface Green Function are critically important in three-dimensional frequency-domain boundary element methods using mixed dipole-source distribution. To improve the accuracy and efficiency of numerical schemes, the computing domain is divided into five areas. Derivatives in four areas are calculated analytically since the Green function is defined analytically. The 5th area is divided into a number of sub-areas in which truncated Double Chebyshev series are used to approximate the Green function. Unlike the usual way in which the derivatives of Green function are obtained by differentiating the series, we re-approximate the derivatives by new Chebyshev series with new coefficients. Numerical results show that the new series are more accurate, in particular, second order derivatives.
Sponsorship	Ocean, Offshore and Arctic Engineering Division
File Format	PDF
ISBN	9780791856550
DOI	10.1115/OMAE2015-41558
Volume Number	Volume 7: Ocean Engineering
Conference Proceedings	ASME 2015 34th International Conference on Ocean, Offshore and Arctic Engineering
Language	English
Publisher Date	2015-05-31
Publisher Place	St. John’s, Newfoundland, Canada
Access Restriction	Subscribed
Subject Keyword	Dipoles (electromagnetism) Approximation Boundary element methods
Content Type	Text
Resource Type	Article

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Approximation of Higher-Order Derivatives of the Frequency Domain Free Surface Green Function