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A numerical study of projection algorithms in the finite element simulation of three-dimensional viscous incompressible flow. (English) Zbl 0945.76045
Summary: We present a comparative study of two versions of projection algorithm used either for time integration or as an iterative method to solve three-dimensional incompressible Navier-Stokes equations. We also show that these projection algorithms combined with finite element method are particularly suited for the treatment of outflow boundary conditions for external flows. This assertion is illustrated by some numerical examples in which five types of boundary conditions are compared. The scheme is applied to simulate the flow past a cylinder clamped on two fixed parallel solid walls. Comparison with available experimental data shows good agreement of the velocity and pressure fields, both computed with continuous piecewise-linear elements.

MSC:
76M10 Finite element methods applied to problems in fluid mechanics
76D05 Navier-Stokes equations for incompressible viscous fluids
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
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