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On the convergence of the multi‐point flux approximation O‐method: Numerical experiments for discontinuous permeability
Author(s) -
Eigestad G. T.,
Klausen R. A.
Publication year - 2005
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20079
Subject(s) - discretization , mathematics , convergence (economics) , skew , partial differential equation , gravitational singularity , partial derivative , flow (mathematics) , point (geometry) , mathematical analysis , computer science , geometry , telecommunications , economics , economic growth
This article presents numerical convergence results for the multi‐point flux approximation (MPFA) O‐method applied to the pressure equation in 2D. The discretization is made directly in physical space, and the investigated cases are simulated on structured, but generally skew grids. Skew grids need to be used to correctly represent the physics of the underlying flow problems. Special emphasis is made on cases which impose singularities in the velocity field. Such cases frequently arise in the description of subsurface flow. Analytical tools may not be applicable to fully answer the question of convergence for such cases; in particular not for the physical space discretization. © 2005 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2005