scholarly journals Using Python to Solve the Navier-Stokes Equations-Applications in the Preconditioned Iterative Methods

2015 ◽  
Vol 7 (3) ◽  
pp. 207-217
Author(s):  
Jia Liu ◽  
Lina Wu ◽  
Xingang Fang
Keyword(s):  
Iterative Methods ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Preconditioned Iterative ◽  
Preconditioned Iterative Methods

scholarly journals An Alternative HSS Preconditioner for the Unsteady Incompressible Navier-Stokes Equations in Rotation Form

2012 ◽  
Vol 2012 ◽  
pp. 1-12
Author(s):  
Jia Liu
Keyword(s):  
Iterative Method ◽  
Krylov Subspace ◽  
Stokes Equations ◽  
Mesh Size ◽  
Reynolds Numbers ◽  
Navier Stokes ◽  
Time Step ◽  
Navier Stokes Equations ◽  
Preconditioned Iterative ◽  
Preconditioned Iterative Methods

We study the preconditioned iterative method for the unsteady Navier-Stokes equations. The rotation form of the Oseen system is considered. We apply an efficient preconditioner which is derived from the Hermitian/Skew-Hermitian preconditioner to the Krylov subspace-iterative method. Numerical experiments show the robustness of the preconditioned iterative methods with respect to the mesh size, Reynolds numbers, time step, and algorithm parameters. The preconditioner is efficient and easy to apply for the unsteady Oseen problems in rotation form.

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