Iterative numerical scheme for non-isothermal two-phase flow in heterogeneous porous media
type: Item
instance of: scholarly article
title: Iterative numerical scheme for non-isothermal two-phase flow in heterogeneous porous media
zbMATH Open document ID: 1461.76455
published in: Algorithms
publication date: 2020-10-07T00:00:00Z
review text: Summary: In the current paper, an iterative algorithm is developed to simulate the problem of two-phase flow with heat transfer in porous media. The convective body force caused by heat transfer is described by Boussinesq approximation throughout with the governing equations, namely, pressure, saturation, and energy. The two coupled equations of pressure and saturation are solved using the implicit pressure-explicit saturation (IMPES) scheme, while the energy equation is treated implicitly, and the scheme is called iterative implicit pressure, explicit saturation, implicit temperature (I-IMPES-IMT). In order to calculate the pressure implicitly, the equations of pressure and saturation are coupled by linearizing the capillary pressure which is a function of saturation. After that, the equation of saturation is solved explicitly. Then, the velocity is computed which is used in the energy equation to calculate the temperature implicitly. The cell-centered finite difference (CCFD) method is utilized for spatial discretization. Furthermore, a relaxation factor along is used with the Courant-Friedrichs-Lewy (CFL) condition. Finally, in order to illustrate the efficiency of the developed algorithm, error estimates for saturation and temperature for different values of time steps and number of iterations are presented. Moreover, numerical examples of different physical scenarios of heterogamous media are presented.
Mathematics Subject Classification ID: 76T10
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 74F10
zbMATH DE Number: 7257183
zbMATH Keywords: iterative
zbMATH Keywords: IMPES
zbMATH Keywords: CFL
zbMATH Keywords: two-phase flow
zbMATH Keywords: heat transfer
zbMATH Keywords: porous media
author: Mohamed Fathy El-Amin
describes a project that uses: IPARS
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3390/a12060117
OpenAlex ID: W2953486361
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Wikidata QID: Q127776721
DOI: 10.3390/A12060117
description: scientific article; zbMATH DE number 7257183