A Finite Difference Scheme for Compressible Miscible Displacement Flow in Porous Media on Grids with Local Refinement in Time-Reference-Cited by-同舟云学术

A Finite Difference Scheme for Compressible Miscible Displacement Flow in Porous Media on Grids with Local Refinement in Time

Published:2013 Issue: Volume:2013 Page:1-8
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Liu Wei¹^ORCID

Affiliation:

1. School of Mathematic and Quantitative Economics, Shandong University of Finance and Economics, Jinan 250014, China

Abstract

Considering two-dimensional compressible miscible displacement flow in porous media, finite difference schemes on grids with local refinement in time are constructed and studied. The construction utilizes a modified upwind approximation and linear interpolation at the slave nodes. Error analysis is presented in the maximum norm and numerical examples illustrating the theory are given.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2013/521835.pdf

Reference11 articles.

1. Local Refinement Techniques for Elliptic Problems on Cell-Centered Grids I. Error Analysis

2. The Finite Volume Element Method for Diffusion Equations on General Triangulations

3. On the Accuracy of the Finite Volume Element Method for Diffusion Equations on Composite Grids

4. Finite difference schemes on grids with local refinement in time and space for parabolic problems I. Derivation, stability, and error analysis

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