Open Access
2014 New Scheme of Finite Difference Heterogeneous Multiscale Method to Solve Saturated Flow in Porous Media
Fulai Chen, Li Ren
Abstr. Appl. Anal. 2014(SI36): 1-19 (2014). DOI: 10.1155/2014/575298

Abstract

A new finite difference scheme, the development of the finite difference heterogeneous multiscale method (FDHMM), is constructed for simulating saturated water flow in random porous media. In the discretization framework of FDHMM, we follow some ideas from the multiscale finite element method and construct basic microscopic elliptic models. Tests on a variety of numerical experiments show that, in the case that only about a half of the information of the whole microstructure is used, the constructed scheme gives better accuracy at a much lower computational time than FDHMM for the problem of aquifer response to sudden change in reservoir level and gives comparable accuracy at a much lower computational time than FDHMM for the weak drawdown problem.

Citation

Download Citation

Fulai Chen. Li Ren. "New Scheme of Finite Difference Heterogeneous Multiscale Method to Solve Saturated Flow in Porous Media." Abstr. Appl. Anal. 2014 (SI36) 1 - 19, 2014. https://doi.org/10.1155/2014/575298

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022641
MathSciNet: MR3178875
Digital Object Identifier: 10.1155/2014/575298

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI36 • 2014
Back to Top