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Notsu, Hirofumi; Tabata, Masahisa

A single-step characteristic-curve finite element scheme of second order in time for the incompressible Navier-Stokes equations. (English) Zbl 1203.76086

J. Sci. Comput. 38, No. 1, 1-14 (2009).
Summary: We present a new single-step characteristic-curve finite element scheme of second order in time for the nonstationary incompressible Navier-Stokes equations. After supplying correction terms in the variational formulation, we prove that the scheme is of second order in time. The convergence rate of the scheme is numerically recognized by computational results.

Cited in 19 Documents

MSC:

76M10 Finite element methods applied to problems in fluid mechanics
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
35Q30 Navier-Stokes equations
76D05 Navier-Stokes equations for incompressible viscous fluids

Keywords:

characteristic-curve; second order in time; the Navier-Stokes equations; finite element method
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\textit{H. Notsu} and \textit{M. Tabata}, J. Sci. Comput. 38, No. 1, 1--14 (2009; Zbl 1203.76086)
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References:

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