Elimination of adaptive grid interface errors in the discrete cell centered pressure equation
type: Item
instance of: scholarly article
title: Elimination of adaptive grid interface errors in the discrete cell centered pressure equation
zbMATH Open document ID: 0858.76062
author: Michael G. Edwards
published in: Journal of Computational Physics
publication date: 1997-03-23T00:00:00Z
review text: Classical cell centered discretization of the reservoir simulation pressure equation on an \(h\)-adaptive grid results in an \(O(1/h)\) leading truncation error at the grid interface. A new flux continuous finite volume correction is presented together with an improved version of a previously proposed correction. While both corrections eliminate the leading error, the new correction exhibits the best convergence rates. Results computed by the uncorrected classical scheme and by both correction schemes are compared for two-phase flow simulations with multilevel dynamic local grid refinement.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76T99
Mathematics Subject Classification ID: 76S05
zbMATH DE Number: 937211
zbMATH Keywords: Darcy's law
zbMATH Keywords: cell centered finite volume discretization
zbMATH Keywords: reservoir simulation
zbMATH Keywords: flux continuous finite volume correction
zbMATH Keywords: convergence
zbMATH Keywords: multilevel dynamic local grid refinement
MaRDI profile type: Publication
full work available at URL: jcph.1996.0143
OpenAlex ID: W2060634412
DOI: 10.1006/JCPH.1996.0143
description: scientific article; zbMATH DE number 937211