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Upscaling of transport equations for multiphase and multicomponent flows. (English) Zbl 1359.76292
Langer, Ulrich (ed.) et al., Domain decomposition methods in science and engineering XVII. Selected papers based on the presentations at the 17th international conference on domain decomposition methods, St. Wolfgang/Strobl, Austria, July 3–7, 2006. Berlin: Springer (ISBN 978-3-540-75198-4/pbk). Lecture Notes in Computational Science and Engineering 60, 193-200 (2008).
Summary: In this paper we discuss upscaling of immiscible multiphase and miscible multicomponent flow and transport in heterogeneous porous media. The discussion presented in the paper summarizes the results of in “Upscaled modeling in multiphase flow applications” by V. Ginting et al. [Comput. Appl. Math. 23, No. 2–3, 213–233 (2004; Zbl 1213.76196)] and in “Upscaling of multiphase and multicomponent flow” by Ginting et al. (2006). Perturbation approaches are used to upscale the transport equation that has hyperbolic nature. Our numerical results show that these upscaling techniques give an improvement over the existing upscaled models which ignore the subgrid terms.
For the entire collection see [Zbl 1130.65004].

MSC:
76T10 Liquid-gas two-phase flows, bubbly flows
76M25 Other numerical methods (fluid mechanics) (MSC2010)
65F35 Numerical computation of matrix norms, conditioning, scaling
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