Adaptive mesh refinement and multilevel iteration for flow in porous media (Q1372011)

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scientific article; zbMATH DE number 1084046
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Adaptive mesh refinement and multilevel iteration for flow in porous media
scientific article; zbMATH DE number 1084046

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    Adaptive mesh refinement and multilevel iteration for flow in porous media (English)
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    15 December 1997
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    An adaptive local mesh refinement algorithm is extended to incompressible flow in porous media. Multilevel iteration and domain decomposition methods are introduced to accommodate the elliptic/parabolic aspects of the flow equations. The algorithm is applied to a two-phase polymer flooding model consisting of a system of nonlinear hyperbolic mass conservation equations coupled to an elliptic pressure equation. To achieve efficient, easily maintainable code, we have exploited the features of object-oriented programming for the overall program structure and data management. Examples of algorithmic performance and computational results are provided.
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    elliptic/parabolic equations
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    domain decomposition
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    two-phase polymer flooding model
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    object-oriented programming
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    data management
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