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Global–in–Time Domain Decomposition for a Nonlinear Diffusion Problem

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Domain Decomposition Methods in Science and Engineering XXV (DD 2018)

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 138))

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Abstract

We study a simplified model for two–phase flow in porous media, where the medium is made of two (or more) different rock types. Each rock type is a subdomain with a distinct capillary pressure function so that the saturation becomes discontinuous across the interface between the different regions. This leads to the phenomenon of capillary trapping (see [12] or [4]).

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Correspondence to Elyes Ahmed .

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Ahmed, E., Japhet, C., Kern, M. (2020). Global–in–Time Domain Decomposition for a Nonlinear Diffusion Problem. In: Haynes, R., et al. Domain Decomposition Methods in Science and Engineering XXV. DD 2018. Lecture Notes in Computational Science and Engineering, vol 138. Springer, Cham. https://doi.org/10.1007/978-3-030-56750-7_22

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