Characteristic mixed volume element for compressible two-phase displacement in porous media. Issue 11 (2nd November 2021)

• Record Type: Journal Article
• Authors: Li, Changfeng; Yuan, Yirang; Yang, Qing
• Is Part Of: International journal of computer mathematics. Volume 98:Issue 11(2021)
• Page Start: 2233
• Page End: 2250
• Publication Date: 2021-11-02
• Subjects: Compressible miscible displacement -- characteristic mixed finite volume element (CMFVE) -- local conservation of mass -- error estimates -- numerical examples; 65N12 -- 65N30; Computers -- Periodicals; Numerical analysis -- Periodicals; Automation -- Periodicals; 004.0151
• DOI: 10.1080/00207160.2021.1884233
• Languages: English
• ISSNs: 0020-7160

Abstract

Abstract : Numerical simulation of a two-phase compressible displacement problem is considered in this paper, modelled by a nonlinear system of PDEs. Considering the characters of mathematical model, we present an efficient combination algorithm of the method of characteristics (MOC) and mixed finite volume element (MFVE). The MFVE is used for computing the pressure, Darcy velocity and the saturation. Furthermore, the saturation equation is convection-dominated. MOC eliminates numerical dispersion and nonphysical oscillation, and computes the values at the sharp fronts well. An MFVE-MOC is formed for the saturation. An optimal error estimates in l2 norm is concluded. Finally, numerical examples are given to show the effectiveness and practicability. The composite scheme possibly solves this actual problem well.