scholarly journals A finite difference, multipoint flux numerical approach to flow in porous media: Numerical examples

2012 ◽  
Author(s):  
Hossam Osman ◽  
Amgad Salama ◽  
Shuyu Sun ◽  
Kai Bao
Keyword(s):  
Porous Media ◽  
Finite Difference ◽  
Numerical Approach ◽  
Flow In Porous Media ◽  
Numerical Examples

scholarly journals A Finite Difference Scheme for Compressible Miscible Displacement Flow in Porous Media on Grids with Local Refinement in Time

2013 ◽  
Vol 2013 ◽  
pp. 1-8
Author(s):  
Wei Liu
Keyword(s):  
Porous Media ◽  
Finite Difference ◽  
Linear Interpolation ◽  
Miscible Displacement ◽  
Flow In Porous Media ◽  
Finite Difference Schemes ◽  
Two Dimensional ◽  
Local Refinement ◽  
Numerical Examples ◽  
Compressible Miscible Displacement

Considering two-dimensional compressible miscible displacement flow in porous media, finite difference schemes on grids with local refinement in time are constructed and studied. The construction utilizes a modified upwind approximation and linear interpolation at the slave nodes. Error analysis is presented in the maximum norm and numerical examples illustrating the theory are given.

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.

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