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The IGR method enables us to study the singular
structures of the blow up solutions of Prandtl
equations. The numerical solutions
to the incompressible Navier-Stokes equations with
Navier boundary conditions are discussed. An
unconditionally stable time discretization which is
implicit in viscosity and explicit in both pressure
and convection terms and finite difference
discretization with local pressure boundary
condition are employed. A two level
preconditioned conjugate gradient method is
introdeced to solve the elliptic type system.
structures of the blow up solutions of Prandtl
equations. The numerical solutions
to the incompressible Navier-Stokes equations with
Navier boundary conditions are discussed. An
unconditionally stable time discretization which is
implicit in viscosity and explicit in both pressure
and convection terms and finite difference
discretization with local pressure boundary
condition are employed. A two level
preconditioned conjugate gradient method is
introdeced to solve the elliptic type system.