TY - JOUR
T1 - Implementation of the Divergence-Free and Pressure-Oscillation-Free Projection Method for Solving the Incompressible Navier-Stokes Equations on the Collocated Grids
AU - Y. X. Ren, M. Liu & H. Zhang
JO - Communications in Computational Physics
VL - 4
SP - 746
EP - 759
PY - 2007
DA - 2007/02
SN - 2
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cicp/7925.html
KW - 
AB - <p style="text-align: justify;">In this paper, a divergence-free and pressure-oscillation-free projection
method for solving the incompressible Navier-Stokes equations on the non-staggered
grid is presented. The exact discrete projection method is used to compute the velocity
field, which ensures the discrete divergence of the velocity field is zero. In order to
eliminate the odd-even decoupling in the pressure field, a filtering procedure is proposed and applied to the pressure field. We have shown this filter recovers the grid
scale ellipticity in the pressure field and the odd-even decoupling can be removed
effectively. The proposed numerical scheme is further verified through numerical experiments.</p>