A computational stream function method for two-dimensional incompressible viscous flows

2005 ◽  
Vol 62 (14) ◽  
pp. 1950-1981 ◽  
Author(s):  
Marcelo H. Kobayashi ◽  
Jos� Manuel C. Pereira
Keyword(s):  
Stream Function ◽  
Function Method ◽  
Viscous Flows ◽  
Two Dimensional ◽  
Incompressible Viscous Flows

scholarly journals Comparison of Several Numerical Methods for Solving Two-Dimensional Incompressible Viscous Flows.

1993 ◽  
Vol 59 (563) ◽  
pp. 2181-2187
Author(s):  
Akio Kimura ◽  
Hirotoshi Yanagi ◽  
Michihiro Kurokawa ◽  
Nobuyuki Satofuka ◽  
Koji Morinishi ◽  
...  
Keyword(s):  
Numerical Methods ◽  
Viscous Flows ◽  
Two Dimensional ◽  
Incompressible Viscous Flows

A local adaptive remeshing procedure for unsteady incompressible viscous flows

2020 ◽  
Author(s):  
Etienne Muller ◽  
Yohann Vautrin ◽  
Dominique Pelletier ◽  
Andre Garon
Keyword(s):  
Viscous Flows ◽  
Adaptive Remeshing ◽  
Incompressible Viscous Flows

Contracting ducts of finite length

1951 ◽  
Vol 2 (4) ◽  
pp. 254-271 ◽  
Author(s):  
L. G. Whitehead ◽  
L. Y. Wu ◽  
M. H. L. Waters
Keyword(s):  
Stream Function ◽  
Finite Length ◽  
Velocity Potential ◽  
Three Dimensional ◽  
Relaxation Method ◽  
Two Dimensional ◽  
Dimensional Flow ◽  
Hodograph Plane ◽  
Two Dimensional Flow ◽  
Working Section

SummmaryA method of design is given for wind tunnel contractions for two-dimensional flow and for flow with axial symmetry. The two-dimensional designs are based on a boundary chosen in the hodograph plane for which the flow is found by the method of images. The three-dimensional method uses the velocity potential and the stream function of the two-dimensional flow as independent variables and the equation for the three-dimensional stream function is solved approximately. The accuracy of the approximate method is checked by comparison with a solution obtained by Southwell's relaxation method.In both the two and the three-dimensional designs the curved wall is of finite length with parallel sections upstream and downstream. The effects of the parallel parts of the channel on the rise of pressure near the wall at the start of the contraction and on the velocity distribution across the working section can therefore be estimated.

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