@article{Salinas:2016:10.1002/fld.4357,
author = {Salinas, P and Pavlidis, D and xie, Z and Adam, A and Pain, C and Jackson, M},
doi = {10.1002/fld.4357},
journal = {International Journal for Numerical Methods in Fluids},
pages = {466--476},
title = {Improving the convergence behaviour of a fixed-point-iteration solver for multiphase flow in porous media},
url = {http://dx.doi.org/10.1002/fld.4357},
volume = {84},
year = {2016}
}

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TY  - JOUR
AB  - 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 implicitdiscretisations does not guarantee convergence of the non-linear solver for large Courant numbers. In thiswork, a double-fixed point iteration method with backtracking is presented that improves both convergenceand convergence rate. Moreover, acceleration techniques are presented to yield a more robust non-linearsolver  with  increased  effective  convergence  rate.  The  new  method  reduces  the  computational  effort  bystrengthening the coupling between saturation and velocity, obtaining an efficient backtracking parameter,using a modified version of Anderson’s acceleration and adding vanishing artificial diffusion.
AU  - Salinas,P
AU  - Pavlidis,D
AU  - xie,Z
AU  - Adam,A
AU  - Pain,C
AU  - Jackson,M
DO  - 10.1002/fld.4357
EP  - 476
PY  - 2016///
SN  - 1097-0363
SP  - 466
TI  - Improving the convergence behaviour of a fixed-point-iteration solver for multiphase flow in porous media
T2  - International Journal for Numerical Methods in Fluids
UR  - http://dx.doi.org/10.1002/fld.4357
UR  - http://hdl.handle.net/10044/1/42734
VL  - 84
ER  - 

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