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Pressure-Correction Projection FEM for Time-Dependent Natural Convection Problem

Pressure-Correction Projection FEM for Time-Dependent Natural Convection Problem
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Year:    2017

Communications in Computational Physics, Vol. 21 (2017), Iss. 4 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.OA-2016-0064

Communications in Computational Physics, Vol. 21 (2017), Iss. 4 : pp. 1090–1117

Published online:    2017-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    28

Keywords:   

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