On Error Estimates of the Pressure-Correction Projection Methods for the Time-Dependent Navier-Stokes Equations
Year: 2011
International Journal of Numerical Analysis and Modeling, Vol. 8 (2011), Iss. 1 : pp. 70–85
Abstract
In this paper, we present a new pressure-correction projection scheme for solving the time-dependent Navier-Stokes equations, which is based on the Crank-Nicolson extrapolation method in the time discretization. Error estimates for the velocity and the pressure of semidiscretized scheme are derived by interpreting the projection scheme as second-order time discretization of a perturbed system which approximates the incompressible Navier-Stokes equations.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2011-IJNAM-674
International Journal of Numerical Analysis and Modeling, Vol. 8 (2011), Iss. 1 : pp. 70–85
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Navier-Stokes equations projection method pressure-correction Crank-Nicolson extrapolation scheme error estimates.