The effect of numerical integration in Galerkin methods for compressible miscible displacement in porous media

2017 ◽  
Vol 5 ◽  
pp. 17-34
Author(s):  
Nguimbi Germain ◽  
Pongui Ngoma Diogene Vianney ◽  
Likibi Pellat Rhoss Beauneur
Keyword(s):  
Porous Media ◽  
Numerical Integration ◽  
Miscible Displacement ◽  
Galerkin Methods ◽  
Compressible Miscible Displacement ◽  
Effect Of Numerical Integration

Galerkin Methods for Miscible Displacement Problems in Porous Media

1980 ◽  
Vol 17 (3) ◽  
pp. 351-365 ◽  
Author(s):  
Richard E. Ewing ◽  
Mary Fanett Wheeler
Keyword(s):  
Porous Media ◽  
Miscible Displacement ◽  
Galerkin Methods

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.

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