@Article{IJNAM-8-70, author = {}, 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} }