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Calculation of incompressible viscous flows by an unconditionally stable projection FEM. (English) Zbl 0879.76050

Summary: We investigate the numerical performance of a finite element implementation of a new incremental fractional-step method to compute steady and unsteady incompressible viscous flows under general boundary conditions and using unstructured meshes. A variational framework is adopted which accommodates two different spaces for representing and approximating the velocity fields calculated respectively in viscous and inviscid phases of the method, but which leads to a very simple numerical scheme in terms of only one discrete velocity field. An unconditionally stable semi-implicit approximation of the nonlinear term is used to eliminate any time-step restriction, as far as the numerical stability is concerned. Numerical results for five test problems in two dimensions are reported to illustrate the flexibility of the proposed method.

MSC:

76M10 Finite element methods applied to problems in fluid mechanics
76D05 Navier-Stokes equations for incompressible viscous fluids

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References:

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