Volume 21, Issue 4
Pressure-Correction Projection FEM for Time-Dependent Natural Convection Problem

Jilian Wu, Xinlong Feng & Fei Liu

Commun. Comput. Phys., 21 (2017), pp. 1090-1117.

Published online: 2018-04

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  • 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.

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@Article{CiCP-21-1090, author = {}, 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} }
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 -

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.

Jilian Wu, Xinlong Feng & Fei Liu. (2020). Pressure-Correction Projection FEM for Time-Dependent Natural Convection Problem. Communications in Computational Physics. 21 (4). 1090-1117. doi:10.4208/cicp.OA-2016-0064
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