Pressure-Correction Projection FEM for Time-Dependent Natural Convection Problem. (8th March 2017)

• Record Type: Journal Article
• Authors: Wu, Jilian; Feng, Xinlong; Liu, Fei
• Is Part Of: Communications in computational physics. Volume 21:Number 4(2017:Apr.)
• Page Start: 1090
• Page End: 1117
• Publication Date: 2017-03-08
• Subjects: 65N15, -- 65N30, -- 76D07, -- 65N12, -- 35Q79; Time-dependent natural convection problems, -- pressure-correction projection FEMs, -- backward difference formula, -- stability analysis, -- error estimate; Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.OA-2016-0064
• Languages: English
• ISSNs: 1815-2406

Abstract

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.