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      Convergence analysis of a fractional time-stepping technique for incompressible fluids with microstructure

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          Abstract

          We present and analyze a fully discrete fractional time stepping technique for the solution of the micropolar Navier Stokes equations, which is a system of equations that describes the evolution of an incompressible fluid whose material particles possess both translational and rotational degrees of freedom. The proposed scheme uncouples the computation of the linear and angular velocity and the pressure. It is unconditionally stable and delivers optimal convergence rates.

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          Most cited references14

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          Theory of Micropolar Fluids

          A. Eringen (1966)
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            deal.II---A general-purpose object-oriented finite element library

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              Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization

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                Author and article information

                Journal
                04 December 2013
                Article
                1312.1389
                12d8990f-5489-40b7-88da-e85828eb44bf

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Custom metadata
                65N12, 65N15, 65N30, 76A05, 76M10
                math.NA

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