Adaptive Double-Diffusion Model and Comparison to a Highly Heterogeneous Micro-Model Public Deposited

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  • Double-diffusion model is used to simulate slightly compressible fluid flow in periodic porous media as a macro-model in place of the original highly heterogeneous micro-model. In this paper, we formulate an adaptive two-grid numerical finite element discretization of the double-diffusion system and perform a comparison between the micro- and macro-model. Our numerical results show that the micro-model solutions appear to converge to the macro-model linearly with the parameter e of periodic geometry. For the two-grid discretization, the a priori and a posteriori error estimates are proved, and we show how to adapt the grid for each component independently.
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  • Klein, V., & Peszynska, M. (2012). Adaptive double-diffusion model and comparison to a highly heterogeneous micro-model. Journal of Applied Mathematics, 2012 doi: 10.1155/2012/938727
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  • description.provenance : Made available in DSpace on 2013-02-07T18:52:36Z (GMT). No. of bitstreams: 3 license_rdf: 22765 bytes, checksum: 56265f5776a16a05899187d30899c530 (MD5) license_text: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) PeszynskaMalgorzataMathematicsAdaptiveDoubleDiffusion.pdf: 3516389 bytes, checksum: f3377c41def321aeb1314729200275b8 (MD5) Previous issue date: 2012
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  • description.provenance : Approved for entry into archive by Deborah Campbell(deborah.campbell@oregonstate.edu) on 2013-02-07T18:52:36Z (GMT) No. of bitstreams: 3 license_rdf: 22765 bytes, checksum: 56265f5776a16a05899187d30899c530 (MD5) license_text: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) PeszynskaMalgorzataMathematicsAdaptiveDoubleDiffusion.pdf: 3516389 bytes, checksum: f3377c41def321aeb1314729200275b8 (MD5)

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