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Volume 8, Issue 1
On Error Estimates of the Pressure-Correction Projection Methods for the Time-Dependent Navier-Stokes Equations

H. Sun, Y. He & X. Feng

Int. J. Numer. Anal. Mod., 8 (2011), pp. 70-85.

Published online: 2011-08

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  • 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.

  • Keywords

Navier-Stokes equations, projection method, pressure-correction, Crank-Nicolson extrapolation scheme, error estimates.

  • AMS Subject Headings

35S05, 35A35, 65M60, 65N22

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-8-70, author = {H. Sun, Y. He and X. Feng}, title = {On Error Estimates of the Pressure-Correction Projection Methods for the Time-Dependent Navier-Stokes Equations}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2011}, volume = {8}, number = {1}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/674.html} }
TY - JOUR T1 - On Error Estimates of the Pressure-Correction Projection Methods for the Time-Dependent Navier-Stokes Equations AU - H. Sun, Y. He & X. Feng JO - International Journal of Numerical Analysis and Modeling VL - 1 SP - 70 EP - 85 PY - 2011 DA - 2011/08 SN - 8 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/674.html KW - Navier-Stokes equations, projection method, pressure-correction, Crank-Nicolson extrapolation scheme, error estimates. AB -

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.

H. Sun, Y. He and X. Feng. (2011). On Error Estimates of the Pressure-Correction Projection Methods for the Time-Dependent Navier-Stokes Equations. International Journal of Numerical Analysis and Modeling. 8 (1). 70-85. doi:
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