Panel Discussion— Numerical Solutions 



L. Landweber, Panel Chairman 

 Institute of Hydraulic Research, The University of Iowa 



Iowa City, Iowa . ' 



INTRODUCTION 



There were approximately two dozen participants in the Panel on Numerical 

 Solutions. The following subjects were presented and discussed: 



1. "Growth of Eddies in a Flow Expansion," by E.O. Macagno and T.K. 

 Hung; presented by J. F. Kennedy. 



2. "Laminar Boundary Layer on a Flat Plate in a Flow with Disturbances," 

 by O. F. Vasiliev and I. V. Pushkareva; presented by O. F. Vasiliev. 



3. "Some Problems in the Numerical Solution of Three-Dimensional, In- 

 compressible Fluid Flows," by S. Piacsek. 



4. "Numerical Solutions of the Two-Dimensional Navier-Stokes Equations," 

 by M. Gauthier. 



5. "Parametric Equations of Ship Forms by Conformal Mapping of Ship Sec- 

 tions," by L. Landweber. 



6. "Computations of Ship Boundary Layers," by M. Martin; presented by 

 L. Landweber. 



Growth of Eddies in a Flow Expansion 



Enzo Macagno 



Institute of Hydraulic Research, The University of Iowa 



Iowa City, Iowa 



and 



Tin -Kan Hung 



Carnegie -Mellon University 



Pittsburgh, Pennsylvania 



presented by 



J. F. Kennedy 



Institute of Hydraulic Research, the University of Iowa 



Iowa City, Iowa 



The basic equations for this calculation of the laminar flow establishment at 

 a two-dimensional abrupt flow expansion were the vorticity-transport equation 



1609 



