TY - JOUR
T1 - Petrov‐Galerkin methods on multiply connected domains for the vorticity‐stream function formulation of the incompressible Navier‐Stokes equations
AU - Tezduyar, T. E.
AU - Glowinski, R.
AU - Liou, J.
PY - 1988/10
Y1 - 1988/10
N2 - In this paper we present streamline‐upwind/Petrov‐Galerkin finite element procedures for two‐dimensional fluid dynamics computations based on the vorticity‐stream function formulation of the incompressible Navier‐Stokes equations. We address the difficulties associated with the convection term in the vorticity transport equation, lack of boundary condition for the vorticity at no‐slip boundaries, and determination of the value of the stream function at the internal boundaries for multiply connected domains. The proposed techniques, implemented within the framework of block‐iteration methods, have successfully been applied to various problems involving simply and multiply connected domains.
AB - In this paper we present streamline‐upwind/Petrov‐Galerkin finite element procedures for two‐dimensional fluid dynamics computations based on the vorticity‐stream function formulation of the incompressible Navier‐Stokes equations. We address the difficulties associated with the convection term in the vorticity transport equation, lack of boundary condition for the vorticity at no‐slip boundaries, and determination of the value of the stream function at the internal boundaries for multiply connected domains. The proposed techniques, implemented within the framework of block‐iteration methods, have successfully been applied to various problems involving simply and multiply connected domains.
KW - Multiply connected domains
KW - Petrov‐Galerkin
KW - Vorticity‐stream function
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U2 - 10.1002/fld.1650081012
DO - 10.1002/fld.1650081012
M3 - Article
AN - SCOPUS:0024099387
VL - 8
SP - 1269
EP - 1290
JO - International Journal for Numerical Methods in Fluids
JF - International Journal for Numerical Methods in Fluids
SN - 0271-2091
IS - 10
ER -