A comparison of parallel solvers for the incompressible Navier-Stokes equations. (English) Zbl 1015.76072

Summary: The paper compares coupled multigrid methods and pressure Schur complement schemes (operator splitting schemes) for the solution of steady-state and time-dependent incompressible Navier-Stokes equations. We consider pressure Schur complement schemes with multigrid as well as single grid methods for the solution of Schur complement problem for pressure. The numerical tests have been carried out on benchmark problems using a MIMD parallel computer. They show the superiority of coupled multigrid methods for the considered class of problems.


76M99 Basic methods in fluid mechanics
76D05 Navier-Stokes equations for incompressible viscous fluids
65Y05 Parallel numerical computation
65M55 Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs
65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs
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