A Single-Step Characteristic-Curve Finite Element Scheme of Second Order in Time for the Incompressible Navier-Stokes Equations

Authors:
Hirofumi Notsu;Masahisa Tabata
Affiliations:
Faculty of Mathematics, Kyushu University, Fukuoka, Japan 812-8581;Faculty of Mathematics, Kyushu University, Fukuoka, Japan 812-8581
Venue:
Journal of Scientific Computing
Year:
2009

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Abstract

In this paper 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.