@Article{CiCP-21-1090, author = {Jilian Wu, Xinlong Feng and Fei Liu}, title = {Pressure-Correction Projection FEM for Time-Dependent Natural Convection Problem}, journal = {Communications in Computational Physics}, year = {2018}, volume = {21}, number = {4}, pages = {1090--1117}, abstract = {
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.
}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2016-0064}, url = {http://global-sci.org/intro/article_detail/cicp/11272.html} }