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A fractional-step method for the incompressible Navier-Stokes equations related to a predictor-multicorrector algorithm. (English) Zbl 0935.76041

We study an implicit fractional-step method for the numerical solution of the time-dependent incompressible Navier-Stokes equations in primitive variables. The method, which is first-order accurate in the time step, is shown to converge to an exact solution of the equations. By adequately splitting the viscous term, it allows the enforcement of full Dirichlet boundary conditions on the velocity in all substeps of the scheme, unlike standard projection methods. Two different finite element interpolations are considered for the space discretization, and numerical results obtained with them for standard benchmark cases are presented.

MSC:

76M10 Finite element methods applied to problems in fluid mechanics
76M25 Other numerical methods (fluid mechanics) (MSC2010)
76D05 Navier-Stokes equations for incompressible viscous fluids
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