A Second Order Characteristic Method for Approximating Incompressible Miscible Displacement in Porous Media

Tongjun Sun and Keying Ma

International Journal of Mathematics and Mathematical Sciences, 2012, vol. 2012, 1-21

Abstract:

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 ð ¿ 2 -norm error estimates are derived for the scalar concentration.

Date: 2012
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2012/870402.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2012/870402.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:870402

DOI: 10.1155/2012/870402

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().