High order compact finite difference methods for non-Fickian flows in porous media

Xuan Zhao; Ziyan Li; Xiaoli Li

doi:10.1016/j.camwa.2023.02.013

Author(s)

Xuan Zhao
Ziyan Li
Xiaoli Li

Related Research Unit(s)

Department of Mathematics

Detail(s)

Original language	English
Pages (from-to)	95-111
Journal / Publication	Computers and Mathematics with Applications
Volume	136
Online published	22 Feb 2023
Publication status	Published - 15 Apr 2023

Link(s)

DOI	DOI https://doi.org/10.1016/j.camwa.2023.02.013 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-85148540814&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(98993462-be73-414a-bb7f-2fedc958b825).html

Abstract

In this work, fourth-order compact block-centered finite difference (CBCFD) schemes combined with the Crank-Nicolson discretization are constructed and analyzed for solving parabolic integro-differential type non-Fickian flows in one-dimensional and two-dimensional cases. Stability analyses of the constructed schemes are derived rigorously. We also obtain the optimal second-order convergence in temporal increment and the fourth-order convergence in spatial direction for both velocity and pressure. To verify the validity of the CBCFD schemes, we present some experiments to show that the numerical results are in agreement with our theoretical analysis. © 2023 Elsevier Ltd

Research Area(s)

Compact block-centered finite difference, Error estimate, High order scheme, Non-Fickian flows, Numerical simulation

Citation Format(s)

[ RIS ] [ BibTeX ]

High order compact finite difference methods for non-Fickian flows in porous media. / Zhao, Xuan; Li, Ziyan; Li, Xiaoli.
In: Computers and Mathematics with Applications, Vol. 136, 15.04.2023, p. 95-111.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

Zhao, X, Li, Z & Li, X 2023, 'High order compact finite difference methods for non-Fickian flows in porous media', Computers and Mathematics with Applications, vol. 136, pp. 95-111. https://doi.org/10.1016/j.camwa.2023.02.013

Zhao, X., Li, Z., & Li, X. (2023). High order compact finite difference methods for non-Fickian flows in porous media. Computers and Mathematics with Applications, 136, 95-111. Advance online publication. https://doi.org/10.1016/j.camwa.2023.02.013

Zhao X, Li Z, Li X. High order compact finite difference methods for non-Fickian flows in porous media. Computers and Mathematics with Applications. 2023 Apr 15;136:95-111. Epub 2023 Feb 22. doi: 10.1016/j.camwa.2023.02.013

Zhao, Xuan ; Li, Ziyan ; Li, Xiaoli. / High order compact finite difference methods for non-Fickian flows in porous media. In: Computers and Mathematics with Applications. 2023 ; Vol. 136. pp. 95-111.