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A new approach to potential flow around axisymmetric bodies
Author(s) -
Yücel Nuri̇,
Altaç Zekeri̇ya
Publication year - 1991
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/fld.1650130907
Subject(s) - laplace's equation , laplace transform , mathematics , rotational symmetry , green's function for the three variable laplace equation , mathematical analysis , flow (mathematics) , potential flow , boundary value problem , function (biology) , simple (philosophy) , boundary (topology) , benchmark (surveying) , velocity potential , geometry , physics , mechanics , geodesy , geography , philosophy , epistemology , evolutionary biology , biology
Abstract A new method is introduced to solve potential flow problems around axisymmetric bodies. The approach relies on expressing the infinite series expansion of the Laplace equation solution in terms of a finite sum which preserves the Laplace solution for the potential function under a Neumann‐type boundary condition. Then the coefficients of the finite sum are calculated in a least squares approximation sense using the Gram‐Schmidt orthonormalization method. Sample benchmark problems are presented and discussed in some detail. The solutions are accurate and converged faster when a rather small number of terms were used. The method is simple and can be easily programmed.