A NEW APPROACH TO POTENTIAL FLOW AROUND AXISYMMETRICAL BODIES
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, vol.13, no.9, pp.1171-1177, 1991 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 13 Issue: 9
- Publication Date: 1991
- Doi Number: 10.1002/fld.1650130907
- Journal Name: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.1171-1177
- Keywords: POTENTIAL FLOW, AXISYMMETRICAL BODIES, LEAST SQUARES
- Anadolu University Affiliated: No
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.