Krylov subspace methods applied to two-phase flows in porous media

M. C. Zambaldi, F. Marcondes
It is well known that nonlinear and linear iterations have a significant effect on the performance of transient problems. In this paper, the numerical behavior of the Inexact Newton method with Generalized Minimal Residual algorithm is applied to the two-phase flow model commonly employed in reservoir simulation. The equations are discretized by the finite volume method using unstructured Voronoi meshes and a fully implicit procedure is used to advance the variables.
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