Multiscale time-splitting strategy for multiscale multiphysics processes of two-phase flow in fractured media
type: Item
instance of: scholarly article
title: Multiscale time-splitting strategy for multiscale multiphysics processes of two-phase flow in fractured media
zbMATH Open document ID: 1381.76341
DOI: 10.1155/2011/861905
author: Jisheng Kou
author: Shuyu Sun
author: Bo Yu
published in: Journal of Applied Mathematics
publication date: 2011-05-27T00:00:00Z
review text: Summary: The temporal discretization scheme is one important ingredient of efficient simulator for two-phase flow in the fractured porous media. The application of single-scale temporal scheme is restricted by the rapid changes of the pressure and saturation in the fractured system with capillarity. In this paper, we propose a multi-scale time splitting strategy to simulate multi-scale multi-physics processes of two-phase flow in fractured porous media. We use the multi-scale time schemes for both the pressure and saturation equations; that is, a large time-step size is employed for the matrix domain, along with a small time-step size being applied in the fractures. The total time interval is partitioned into four temporal levels: the first level is used for the pressure in the entire domain, the second level matching rapid changes of the pressure in the fractures, the third level treating the response gap between the pressure and the saturation, and the fourth level applied for the saturation in the fractures. This method can reduce the computational cost arisen from the implicit solution of the pressure equation. Numerical examples are provided to demonstrate the efficiency of the proposed method.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76T99
Mathematics Subject Classification ID: 76M25
zbMATH DE Number: 5900360
Wikidata QID: Q58690552
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/861905
OpenAlex ID: W1986420517
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DBLP publication ID: journals/jam/KouSY11
description: scientific article; zbMATH DE number 5900360