A Penalty-Projection Method Using Staggered Grids for Incompressible Flows
We deal with the time-dependent Navier-Stokes equations with Dirichlet boundary conditions on all the domain or, on a part of the domain and open boundary conditions on the other part. It is shown numerically that a staggered mesh with penalty-projection method yields reasonable good results for solving the above mentioned problem. Similarly to the results obtained recently by other scientists using finite element method (FEM)  and  (with the rotational pressure-correction method for the latter), we confirm that the penalty-projection scheme with spatial discretization of the Marker And Cell method (MAC)  is compatible with our problem.
KeywordsDirichlet Boundary Condition Projection Method Open Boundary Condition Augmented Lagrangian Method Pressure Error
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