Application of higher order finite element methods to viscoelastic flow in porous media

1992 ◽  
Vol 36 (7) ◽  
pp. 1377-1416 ◽  
Author(s):  
Kapil K. Talwar ◽  
Bamin Khomami
Keyword(s):  
Finite Element ◽  
Porous Media ◽  
Finite Element Methods ◽  
Higher Order ◽  
Viscoelastic Flow ◽  
Flow In Porous Media

Numerical Analysis for Two-phase Flow in Porous Media

2003 ◽  
Vol 3 (1) ◽  
pp. 59-75
Author(s):  
Zhangxin Chen
Keyword(s):  
Finite Element ◽  
Porous Media ◽  
Error Estimates ◽  
Finite Element Methods ◽  
Compressible Flows ◽  
Mixed Finite Element ◽  
Flow In Porous Media ◽  
Optimal Order ◽  
Two Phase ◽  
Characteristic Finite Element

Abstract In this paper we derive error estimates for finite element approximations for partial differential systems which describe two-phase immiscible flows in porous media. These approximations are based on mixed finite element methods for pressure and velocity and characteristic finite element methods for saturation. Both incompressible and compressible flows are considered. Error estimates of optimal order are obtained.

Anisotropic Mesh Adaptivity and Control Volume Finite Element Methods for Numerical Simulation of Multiphase Flow in Porous Media

2015 ◽  
Vol 47 (4) ◽  
pp. 417-440 ◽  
Author(s):  
Peyman Mostaghimi ◽  
James R. Percival ◽  
Dimitrios Pavlidis ◽  
Richard J. Ferrier ◽  
Jefferson L. M. A. Gomes ◽  
...  
Keyword(s):  
Numerical Simulation ◽  
Finite Element ◽  
Porous Media ◽  
Finite Element Methods ◽  
Control Volume ◽  
Flow In Porous Media ◽  
Mesh Adaptivity ◽  
Anisotropic Mesh ◽  
And Control ◽  
Control Volume Finite Element

Mixed Discontinuous Finite Element Methods for Multiphase Flow in Porous Media

2006 ◽  
Vol 2 (1-2) ◽  
pp. 1-13
Author(s):  
Hongsen Chen ◽  
Zhangxin Chen ◽  
Guanren Huan
Keyword(s):  
Finite Element ◽  
Porous Media ◽  
Finite Element Methods ◽  
Flow In Porous Media ◽  
Immiscible Flow ◽  
Two Phase ◽  
Partial Differential System ◽  
Discontinuous Finite Element ◽  
Discontinuous Elements ◽  
Methods Numerical

In this paper we present an application of mixed discontinuous finite element methods to the simulation of two phase immiscible flow in porous media. The partial differential system describing this flow is written in terms of an elliptic equation for a global pressure and a parabolic equation for a saturation. Both of these two equations are solved using the mixed discontinuous finite element methods. Numerical results are presented for P0, P1, and P2 discontinuous elements. The P0 results are very close to thoseb generated by the standard finite difference method, while the P1 and P2 results seem more accurate.

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