Alternating direction implicit methods for the Navier-Stokes equations

AIAA Journal ◽  
1992 ◽  
Vol 30 (8) ◽  
pp. 2158-2161 ◽  
Author(s):  
T. L. Tysinger ◽  
D. A. Caughey
Keyword(s):  
Stokes Equations ◽  
Navier Stokes ◽  
Implicit Methods ◽  
Navier Stokes Equations ◽  
Alternating Direction Implicit ◽  
Alternating Direction ◽  
Alternating Direction Implicit Methods

Steady Laminar Flow in a Stationary Tank With a Spinning Bottom

1975 ◽  
Vol 42 (4) ◽  
pp. 771-776 ◽  
Author(s):  
C. V. Alonso
Keyword(s):  
Stokes Equations ◽  
Tangential Velocity ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
General Validity ◽  
Alternating Direction Implicit ◽  
Incompressible Viscous Flow ◽  
Alternating Direction ◽  
Alternating Direction Implicit Scheme ◽  
Steady Laminar

The steady incompressible viscous flow induced in a cylindrical tank by the rotation of its bottom was studied both theoretically and experimentally. The complete Navier-Stokes equations are expressed in terms of the tangential velocity, vorticity, and meridional stream function. The transformed equations are solved numerically using an alternating-direction implicit scheme and a nonuniform grid. The general validity of the numerical solution was demonstrated by the agreement between the computed and experimental results.

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