Adaptive numerical homogenization for upscaling single phase flow and transport

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dc.contributor.authorAmanbek, Yerlan
dc.contributor.authorSingh, Gurpreet
dc.contributor.authorWheeler, Mary F.
dc.contributor.authorDuijn, Hansvan
dc.date.accessioned2020-06-01T04:14:15Z
dc.date.available2020-06-01T04:14:15Z
dc.date.issued2019-03-05
dc.description.abstractWe propose an adaptive multiscale method to improve the efficiency and the accuracy of numerical computations by combining numerical homogenization and domain decomposition for modeling flow and transport. Our approach focuses on minimizing the use of fine scale properties associated with advection and diffusion/dispersion. Here a fine scale flow and transport problem is solved in subdomains defined by a transient region where spatial changes in transported species concentrations are large while a coarse scale problem is solved in the remaining subdomains. Away from the transient region, effective macroscopic properties are obtained using local numerical homogenization. An Enhanced Velocity Mixed Finite Element Method (EVMFEM) as a domain decomposition scheme is used to couple these coarse and fine subdomains [1]. Specifically, homogenization is employed here only when coarse and fine scale problems can be decoupled to extract temporal invariants in the form of effective parameters. In this paper, a number of numerical tests are presented for demonstrating the capabilities of this adaptive numerical homogenization approach in upscaling flow and transport in heterogeneous porous medium.en_US
dc.identifier.citationAmanbek, Y., Singh, G., Wheeler, M. F., & van Duijn, H. (2019). Adaptive numerical homogenization for upscaling single phase flow and transport. Journal of Computational Physics, 387, 117-133.en_US
dc.identifier.urihttps://doi.org/10.1016/j.jcp.2019.02.014
dc.identifier.urihttp://nur.nu.edu.kz/handle/123456789/4762
dc.language.isoenen_US
dc.publisherELSEVIERen_US
dc.rightsAttribution-NonCommercial-ShareAlike 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/us/*
dc.titleAdaptive numerical homogenization for upscaling single phase flow and transporten_US
dc.typeArticleen_US
workflow.import.sourcescience

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