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Non‐singular direct formulation of boundary integral equations for potential flows
Author(s) -
Hwang W. S.,
Huang Y. Y.
Publication year - 1998
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19980330)26:6<627::aid-fld664>3.0.co;2-w
Subject(s) - mathematics , quadrature (astronomy) , gaussian quadrature , numerical integration , nyström method , interpolation (computer graphics) , gravitational singularity , singular integral , numerical analysis , boundary (topology) , mathematical analysis , integral equation , computer science , physics , frame (networking) , telecommunications , optics
This paper presents a general direct integral formulation for potential flows. The singularities of Green's functions are desingularized theoretically, using a subtracting and adding back technique, so that Gaussian quadrature or any other numerical integration methods can be applied directly to evaluate all the integrals without any difficulty. When high‐order quadrature formulas are applied globally, the number of unknowns can be reduced. Interpolation functions are not necessary for unknown variables in the present paper. Therefore, the present method is much simpler and more efficient than the conventional one. Several numerical examples are calculated and compared satisfactorily with analytical solutions or published results. © 1998 John Wiley & Sons, Ltd.