scholarly journals An Adaptive Finite Element Heterogeneous Multiscale Method for Stokes Flow in Porous Media

2015 ◽  
Vol 13 (1) ◽  
pp. 256-290 ◽  
Author(s):  
A. Abdulle ◽  
O. Budáč
Keyword(s):  
Finite Element ◽  
Porous Media ◽  
Stokes Flow ◽  
Multiscale Method ◽  
Flow In Porous Media ◽  
Adaptive Finite Element ◽  
Heterogeneous Multiscale

scholarly journals New Scheme of Finite Difference Heterogeneous Multiscale Method to Solve Saturated Flow in Porous Media

2014 ◽  
Vol 2014 ◽  
pp. 1-19
Author(s):  
Fulai Chen ◽  
Li Ren
Keyword(s):  
Porous Media ◽  
Finite Difference ◽  
Sudden Change ◽  
Multiscale Method ◽  
Flow In Porous Media ◽  
Computational Time ◽  
Saturated Water ◽  
Comparable Accuracy ◽  
Multiscale Finite Element ◽  
Heterogeneous Multiscale

A new finite difference scheme, the development of the finite difference heterogeneous multiscale method (FDHMM), is constructed for simulating saturated water flow in random porous media. In the discretization framework of FDHMM, we follow some ideas from the multiscale finite element method and construct basic microscopic elliptic models. Tests on a variety of numerical experiments show that, in the case that only about a half of the information of the whole microstructure is used, the constructed scheme gives better accuracy at a much lower computational time than FDHMM for the problem of aquifer response to sudden change in reservoir level and gives comparable accuracy at a much lower computational time than FDHMM for the weak drawdown problem.

A two-scale finite element formulation of Stokes flow in porous media

2013 ◽  
Vol 261-262 ◽  
pp. 96-104 ◽  
Author(s):  
Carl Sandström ◽  
Fredrik Larsson ◽  
Kenneth Runesson ◽  
Håkan Johansson
Keyword(s):  
Finite Element ◽  
Porous Media ◽  
Stokes Flow ◽  
Finite Element Formulation ◽  
Flow In Porous Media ◽  
Element Formulation

Multiscale Method for Simulating Two-and Three-Phase Flow in Porous Media

2013 ◽  
Author(s):  
Mayur Pal ◽  
Sadok Lamine ◽  
Knut-Andreas Lie ◽  
Stein Krogstad
Keyword(s):  
Porous Media ◽  
Multiscale Method ◽  
Flow In Porous Media ◽  
Phase Flow ◽  
Three Phase ◽  
Three Phase Flow
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