Nonunique steady flow solutions for pressure correction equations applied in the regime of natural convection inside free vented enclosures

2016 ◽  
Vol 70 (2) ◽  
pp. 145-161 ◽  
Author(s):  
Ji-Hao Zhang ◽  
Dong-Dong Zhang ◽  
Fu-Yun Zhao ◽  
Di Liu
Keyword(s):  
Natural Convection ◽  
Steady Flow ◽  
Pressure Correction ◽  
Vented Enclosures ◽  
Correction Equations

Analysis of natural convection in vertically-vented enclosures

1991 ◽  
Vol 34 (12) ◽  
pp. 3037-3046 ◽  
Author(s):  
D.M. Sefcik ◽  
B.W. Webb ◽  
H.S. Heaton
Keyword(s):  
Natural Convection ◽  
Vented Enclosures

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

2017 ◽  
Vol 21 (4) ◽  
pp. 1090-1117 ◽  
Author(s):  
Jilian Wu ◽  
Xinlong Feng ◽  
Fei Liu
Keyword(s):  
Natural Convection ◽  
Time Derivative ◽  
Pressure Correction ◽  
Variational Multiscale ◽  
First Order ◽  
Multiscale Fem ◽  
Convection Problem ◽  
Energy Stable ◽  
The Stability ◽  
Natural Convection Problem

AbstractPressure-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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