A Second Order Characteristic Method for Approximating Incompressible Miscible Displacement in Porous Media
Joint Authors
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-30
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
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 optimal L2-norm error estimates are derived for the scalar concentration.
American Psychological Association (APA)
Sun, Tongjun& Ma, Keying. 2012. A Second Order Characteristic Method for Approximating Incompressible Miscible Displacement in Porous Media. International Journal of Mathematics and Mathematical Sciences،Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-504913
Modern Language Association (MLA)
Sun, Tongjun& Ma, Keying. A Second Order Characteristic Method for Approximating Incompressible Miscible Displacement in Porous Media. International Journal of Mathematics and Mathematical Sciences No. 2012 (2012), pp.1-21.
https://search.emarefa.net/detail/BIM-504913
American Medical Association (AMA)
Sun, Tongjun& Ma, Keying. A Second Order Characteristic Method for Approximating Incompressible Miscible Displacement in Porous Media. International Journal of Mathematics and Mathematical Sciences. 2012. Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-504913
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-504913