Mathematical Problems in Engineering 
Volume 5 (1999), Issue 1, Pages 55-81
doi:10.1155/S1024123X9900099X

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

Abstract

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.