A Second Order Characteristic Method for Approximating Incompressible Miscible Displacement in Porous Media
2012 ◽
Vol 2012
◽
pp. 1-21
Keyword(s):
An approximation scheme is defined for incompressible miscible displacement in porous media. This scheme is constructed by two methods. Under the regularity assumption for the pressure, cubic Hermite finite element method is used for the pressure equation, which ensures the approximation of the velocity smooth enough. A second order characteristic finite element method is presented to handle the material derivative term of the concentration equation. It is of second order accuracy in time increment, symmetric, and unconditionally stable. The optimalL2-norm error estimates are derived for the scalar concentration.
2019 ◽
Vol 22
(8)
◽
pp. 1471-1484
2020 ◽
Vol 1530
◽
pp. 012001
2009 ◽
Vol 80
(3)
◽
pp. 338-354
◽
Keyword(s):
1993 ◽
Vol 9
(3)
◽
pp. 204-212
◽
Keyword(s):
2021 ◽
Vol 12
(Special)
◽
pp. 96-122
2015 ◽
Vol 107
◽
pp. 24-45
◽
2009 ◽
Vol 228
(1)
◽
pp. 391-411
◽