Numerical solution of the Navier-Stokes equations in multiply connected domains

1991 ◽  
Vol 20 (1) ◽  
pp. 19-28 ◽  
Author(s):  
Andreas Lippke ◽  
Helmut Wagner
Keyword(s):  
Numerical Solution ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Multiply Connected Domains ◽  
Navier Stokes Equations ◽  
Multiply Connected

Uncoupled ω–ψ Formulation for Plane Flows in Multiply Connected Domains

1997 ◽  
Vol 07 (06) ◽  
pp. 731-767 ◽  
Author(s):  
J.-L. Guermond ◽  
L. Quartapelle
Keyword(s):  
Stream Function ◽  
Variational Formulation ◽  
Stokes Equations ◽  
Mixed Finite Element ◽  
Navier Stokes ◽  
Multiply Connected Domains ◽  
Navier Stokes Equations ◽  
Multiply Connected ◽  
Finite Element Implementation ◽  
Transient Problems

This work deals with the numerical solution of the unsteady Navier–Stokes equations in the vorticity and stream function representation for problems in multiply connected two-dimensional regions. A particular decomposition of the stream function space is proposed which leads to an uncoupled variational formulation of the equations linearized and discretized in time, thus extending to transient problems the celebrated method proposed by Glowinski and Pironneau for the biharmonic problem. Numerical results calculated by a mixed finite element implementation of the new uncoupled method are presented.

Numerical solution of the reduced Navier-Stokes equations for internal incompressible flows

AIAA Journal ◽  
2000 ◽  
Vol 38 ◽  
pp. 1603-1614
Author(s):  
Martin Scholtysik ◽  
Bernhard Mueller ◽  
Torstein K. Fannelop
Keyword(s):  
Numerical Solution ◽  
Incompressible Flows ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations
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