A Comparative Study of Block Preconditioners for Incompressible Flow Problems

Problem statement: We consider the numerical solvers for the linearized Navier-Stokes problem. Both the Stokes problem and Oseen problems are considered. Approach: We used the Mark and Cell (MAC) discretization method to discretize the Navier-Stokes equations. We used preconditioned Krylov subspace methods to solve the resulting linear systems. Results: Numerical experimental results are performed to compare the different preconditioners. Conclusion: The choice of the preconditioner is highly problem dependent and we give the suggestions for individual cases.