A NEW APPROACH TO POTENTIAL FLOW AROUND AXISYMMETRICAL BODIES


YUCEL N. , ALTAC Z.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, cilt.13, sa.9, ss.1171-1177, 1991 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Konu: 9
  • Basım Tarihi: 1991
  • Doi Numarası: 10.1002/fld.1650130907
  • Dergi Adı: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
  • Sayfa Sayıları: ss.1171-1177

Özet

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.