TY - JOUR
T1 - On Error Estimates of the Pressure-Correction Projection Methods for the Time-Dependent Navier-Stokes Equations
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 - <p style="text-align: justify;">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.</p>