Numerical simulation for a incompressible miscible displacement problem using a reduced-order finite element method based on POD technique

2021 ◽  
Author(s):  
Junpeng Song ◽  
Hongxing Rui
Keyword(s):  
Numerical Simulation ◽  
Finite Element Method ◽  
Finite Element ◽  
Miscible Displacement ◽  
Reduced Order ◽  
Displacement Problem ◽  
Incompressible Miscible Displacement Problem ◽  
Element Method

scholarly journals A Broken P1-Nonconforming Finite Element Method for Incompressible Miscible Displacement Problem in Porous Media

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Fengxin Chen ◽  
Huanzhen Chen
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Porous Media ◽  
Piecewise Linear ◽  
Miscible Displacement ◽  
Triangular Elements ◽  
Concentration Equation ◽  
Incompressible Miscible Displacement Problem ◽  
Approximate Scheme ◽  
Element Method

An approximate scheme is defined for incompressible miscible displacement in porous media. This scheme is constructed by using immersed interface finite element method for the pressure equation which is based on the broken P1-nonconforming piecewise linear polynomials on interface triangular elements and utilizing finite element method for the concentration equation. Error estimates for pressure in broken H1 norm and for concentration in L2 norm are presented.

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