scholarly journals Model Reduction Based on Proper Generalized Decomposition for the Stochastic Steady Incompressible Navier--Stokes Equations

2014 ◽  
Vol 36 (3) ◽  
pp. A1089-A1117 ◽  
Author(s):  
L. Tamellini ◽  
O. Le Maître ◽  
A. Nouy
Keyword(s):  
Model Reduction ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Proper Generalized Decomposition ◽  
Navier Stokes Equations

scholarly journals Immersed boundary method combined with proper generalized decomposition for simulation of a flexible filament in a viscous incompressible flow

2017 ◽  
Vol 39 (2) ◽  
pp. 109-119
Author(s):  
Cuong Q. Le ◽  
H. Phan-Duc ◽  
Son H. Nguyen
Keyword(s):  
Immersed Boundary Method ◽  
Stokes Equations ◽  
Fluid Pressure ◽  
Navier Stokes ◽  
Immersed Boundary ◽  
Proper Generalized Decomposition ◽  
Time Step ◽  
Navier Stokes Equations ◽  
Boundary Method ◽  
Fluid Filament

In this paper, a combination of the Proper Generalized  Decomposition (PGD) with the Immersed Boundary method (IBM) for solving  fluid-filament interaction problem is proposed. In this combination, a  forcing term constructed by the IBM is introduced to Navier-Stokes equations  to handle the influence of the filament on the fluid flow. The PGD is  applied to solve the Poission's equation to find the fluid pressure  distribution for each time step. The numerical results are compared with  those by previous publications to illustrate the robustness and  effectiveness of the proposed method.

scholarly journals Non-linear model reduction for the Navier–Stokes equations using residual DEIM method

2014 ◽  
Vol 263 ◽  
pp. 1-18 ◽  
Author(s):  
D. Xiao ◽  
F. Fang ◽  
A.G. Buchan ◽  
C.C. Pain ◽  
I.M. Navon ◽  
...  
Keyword(s):  
Model Reduction ◽  
Linear Model ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Non Linear

scholarly journals A Galerkin-free model reduction approach for the Navier–Stokes equations

2016 ◽  
Vol 309 ◽  
pp. 148-163 ◽  
Author(s):  
Vilas Shinde ◽  
Elisabeth Longatte ◽  
Franck Baj ◽  
Yannick Hoarau ◽  
Marianna Braza
Keyword(s):  
Model Reduction ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Free Model ◽  
Reduction Approach
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