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, pressurecorrection projection FEMs are more efficient and unconditionally energy stable. Ample numerical results are presented to demonstrate the effectiveness of the pressurecorrection projection FEMs for solving these problems.

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@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, pressurecorrection projection FEMs are more efficient and unconditionally energy stable. Ample numerical results are presented to demonstrate the effectiveness of the pressurecorrection 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} }
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