Generalized multiscale finite element method for non-Newtonian fluid flow in perforated domain

2016 ◽  
Author(s):  
E. T. Chung ◽  
O. Iliev ◽  
M. V. Vasilyeva
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Fluid Flow ◽  
Newtonian Fluid ◽  
Perforated Domain ◽  
Multiscale Finite Element Method ◽  
Multiscale Finite Element ◽  
Element Method

Global Multiscale Finite Element Method for Flow in Fractured Media

2014 ◽  
Vol 945-949 ◽  
pp. 1007-1010
Author(s):  
Xiao Lin Li ◽  
Guang Wei Meng ◽  
Li Ming Zhou ◽  
Feng Li
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Fluid Flow ◽  
Accurate Solution ◽  
Fractured Media ◽  
Fine Scale ◽  
Multiscale Finite Element Method ◽  
Dual Porosity Model ◽  
Multiscale Finite Element ◽  
Element Method

Numerical simulation in fractured media is challenging because of the complex microstructure and the coupled fluid flow in porous and fractured media. In this paper, we have extended the global multiscale finite element method (GMsFEM) to study the fluid flow in fractured media with a dual porosity model. By using the fine-scale solution at t=0 to determine the boundary conditions of the basis function, local and nonlocal informations are reflected in the basis functions. As a result, an accurate solution can be achieved in the coarse scale. Numerical example demonstrate that the solution of GMsFEM is highly consistent with the fine-scale solution of FEM. Furthermore, GMsFEM provides a great computational efficiency.

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