TY - JOUR
T1 - Pressure-Correction Projection FEM for Time-Dependent Natural Convection Problem
JO - Communications in Computational Physics
VL - 4
SP - 1090
EP - 1117
PY - 2018
DA - 2018/04
SN - 21
DO - http://doi.org/10.4208/cicp.OA-2016-0064
UR - https://global-sci.org/intro/article_detail/cicp/11272.html
KW - 
AB - <p style="text-align: justify;">Pressure-correction projection finite element methods (FEMs) are proposed
to solve nonstationary natural convection problems in this paper. The first-order and
second-order backward difference formulas are applied for time derivative, the stability
analysis and error estimates of the semi-discrete schemes are presented using
energy method. Compared with characteristic variational multiscale FEM, pressure-correction
projection FEMs are more efficient and unconditionally energy stable. Ample
numerical results are presented to demonstrate the effectiveness of the pressure-correction
projection FEMs for solving these problems.</p>