scholarly journals Structural stability for the Brinkman equations of flow in double diffusive convection

2007 ◽  
Vol 325 (2) ◽  
pp. 1479-1490 ◽  
Author(s):  
Changhao Lin ◽  
L.E. Payne
2019 ◽  
Vol 27 (3) ◽  
pp. 123-139 ◽  
Author(s):  
Fatma G. Eroglu ◽  
Songul Kaya ◽  
Leo G. Rebholz

Abstract This paper extends proper orthogonal decomposition reduced order modeling to flows governed by double diffusive convection, which models flow driven by two potentials with different rates of diffusion. We propose a reduced model based on proper orthogonal decomposition, present a stability and convergence analyses for it, and give results for numerical tests on a benchmark problem which show it is an effective approach to model reduction in this setting.


Author(s):  
Pierre Dupont ◽  
O. Gorieu ◽  
Hassan Peerhossaini ◽  
M. Kestoras

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