Mathematical Problems in Engineering
Volume 5 (1999), Issue 1, Pages 55-81

Boundary element method for internal axisymmetric flow

Alexander Gokhman1 and Dmitry Gokhman2

13031 Noriega Street, San Francisco 94122-4151, CA, USA
2Division of Mathematics and Statistics, The University of Texas at San Antonio, San Antonio 78249, TX, USA

Received 28 September 1998

Copyright © 1999 Alexander Gokhman and Dmitry Gokhman. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We present an accurate fast method for the computation of potential internal axisymmetric flow based on the boundary element technique. We prove that the computed velocity field asymptotically satisfies reasonable boundary conditions at infinity for various types of inlet/exit. Computation of internal axisymmetric potential flow is an essential ingredient in the three-dimensional problem of computation of velocity fields in turbomachines. We include the results of a practical application of the method to the computation of flow in turbomachines of Kaplan and Francis types.