Interface solvers and preconditioners of domain decomposition type for multiphase flow in multiblock porous media

Authors:
Ivan Yotov
Affiliations:
Department of Mathematics, University of Pittsburgh, Pittsburgh, PA
Venue:
Scientific computing and applications
Year:
2001

Citing 5
Cited 1

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Abstract

A multiblock mortar approach to modeling multiphase flow in porous media decomposes the simulation domain into a series of blocks with possibly different physical and numerical models employed in each block. Matching conditions along the interfaces are imposed through the use of mortar finite elements. A parallel domain decomposition algorithm reduces the algebraic nonlinear system to an interface problem which is solved via a nonlinear multigrid with Newton-GMRES smoothing.