A new approach to potential flow around axisymmetric bodies |
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Authors: | Nuri Yü cel,Zekeri ya Alta |
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Affiliation: | Nuri̇ Yücel,Zekeri̇ya Altaç |
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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. |
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Keywords: | Potential flow Axisymmetric bodies Least squares |
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