TY - JOUR
T1 - A Note on Pressure Approximation of First and Higher Order Projection Schemes for the Nonstationary Incompressible Navier-Stokes Equations
JO - Journal of Computational Mathematics
VL - 2-3
SP - 338
EP - 347
PY - 2009
DA - 2009/04
SN - 27
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8576.html
KW - Incompressible Navier-Stokes equation, Time discretization, Projection method.
AB - <p style="text-align: justify;">Projection methods are efficient operator-splitting schemes to approximate solutions of
the incompressible Navier-Stokes equations. As a major drawback, they introduce spurious
layers, both in space and time. In this work, we survey convergence results for higher order
projection methods, in the presence of only strong solutions of the limiting problem; in
particular, we highlight concomitant difficulties in the construction process of accurate
higher order schemes, such as limited regularities of the limiting solution, and a lack of
accurate initial data for the pressure. Computational experiments are included to compare
the presented schemes, and illustrate the difficulties mentioned.</p>