Numerical Study of Solutions to Prandtl Equations and N-S Equations
Numerical Simulation
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The IGR method enables us to study the singular structures of the blow up solutions of Prandtl equations. The numerical solutionsto 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 boundarycondition are employed. A two levelpreconditioned conjugate gradient method is introdeced to solve the elliptic type system.
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.
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