In this section
@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}
}
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 -