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Improving the convergence behaviour of a fixed-point-iteration solver for multiphase flow in porous media

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Title: Improving the convergence behaviour of a fixed-point-iteration solver for multiphase flow in porous media
Authors: Salinas, P
Pavlidis, D
Xie, Z
Adam, A
Pain, C
Jackson, M
Item Type: Journal Article
Abstract: A new method to admit large Courant numbers in the numerical simulation of multiphase flow is presented. The governing equations are discretised in time using an adaptive -method. However, the use of implicit discretisations does not guarantee convergence of the non-linear solver for large Courant numbers. In this work, a double-fixed point iteration method with backtracking is presented that improves both convergence and convergence rate. Moreover, acceleration techniques are presented to yield a more robust non-linear solver with increased effective convergence rate. The new method reduces the computational effort by strengthening the coupling between saturation and velocity, obtaining an efficient backtracking parameter, using a modified version of Anderson’s acceleration and adding vanishing artificial diffusion.
Issue Date: 18-Dec-2016
Date of Acceptance: 25-Nov-2016
URI: http://hdl.handle.net/10044/1/42734
DOI: https://dx.doi.org/10.1002/fld.4357
ISSN: 1097-0363
Publisher: Wiley
Start Page: 466
End Page: 476
Journal / Book Title: International Journal for Numerical Methods in Fluids
Volume: 84
Issue: 8
Copyright Statement: © 2016 The Authors. International Journal for Numerical Methods in Fluids Published by John Wiley & Sons Ltd. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
Sponsor/Funder: Total E&P UK Limited
Exxon Mobil Upstream Research Company
Engineering & Physical Science Research Council (EPSRC)
Total E&P UK Limited
Engineering & Physical Science Research Council (E
Commission of the European Communities
Funder's Grant Number: Contract Number: 4300002692
EM08154
EP/K003976/1
RO 4200062038
EP/M012794/1
662157
Keywords: Science & Technology
Technology
Physical Sciences
Computer Science, Interdisciplinary Applications
Mathematics, Interdisciplinary Applications
Mechanics
Physics, Fluids & Plasmas
Computer Science
Mathematics
Physics
nonlinear solvers
fixed point iteration
multiphase flow
porous media
implicit time stepping
Darcy flow
SIMULATIONS
Applied Mathematics
01 Mathematical Sciences
02 Physical Sciences
09 Engineering
Publication Status: Published
Appears in Collections:Faculty of Engineering
Earth Science and Engineering



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