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A Second Order Characteristic Method for Approximating Incompressible Miscible Displacement in Porous Media
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A Second Order Characteristic Method for Approximating Incompressible Miscible Displacement in Porous Media
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Journal Article
A Second Order Characteristic Method for Approximating Incompressible Miscible Displacement in Porous Media
2012
Overview
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.
Publisher
Hindawi Limiteds,Hindawi Puplishing Corporation,Hindawi Publishing Corporation,John Wiley & Sons, Inc,Wiley
