Vanishing artifficial diffusion as a mechanism to accelerate convergence for multiphase porous media flow

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Title: Vanishing artifficial diffusion as a mechanism to accelerate convergence for multiphase porous media flow
Authors: Salinas, P
Pain, C
Osman, H
Jacquemyn, C
Xie, Z
Jackson, M
Item Type: Journal Article
Abstract: Numerical solution of the equations governing multiphase porous media flow is challenging. A common approach to improve the performance of iterative non-linear solvers for these problems is to introduce artificial diffusion. Here, we present a mass conservative artificial diffusion that accelerates the non-linear solver but vanishes when the solution is converged. The vanishing artificial diffusion term is saturation dependent and is larger in regions of the solution domain where there are steep saturation gradients. The non-linear solver converges more slowly in these regions because of the highly non-linear nature of the solution. The new method provides accurate results while significantly reducing the number of iterations required by the non-linear solver. It is particularly valuable in reducing the computational cost of highly challenging numerical simulations, such as those where physical capillary pressure effects are dominant. Moreover, the method allows converged solutions to be obtained for Courant numbers that are at least two orders of magnitude larger than would otherwise be possible.
Date of Acceptance: 5-Jul-2019
URI: http://hdl.handle.net/10044/1/71681
ISSN: 0045-7825
Publisher: Elsevier
Journal / Book Title: Computer Methods in Applied Mechanics and Engineering
Copyright Statement: This paper is embargoed until 12 months after publication.
Sponsor/Funder: Engineering & Physical Science Research Council (E
Funder's Grant Number: EP/R005761/1
Keywords: 01 Mathematical Sciences
09 Engineering
Applied Mathematics
Publication Status: Accepted
Embargo Date: Embargoed for 12 months after publication date
Appears in Collections:Faculty of Engineering
Earth Science and Engineering



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