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A domain decomposition approach to finite-epsilon homogenization of scalar transport in porous media

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Academic year: 2021

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Fig. 2.1. The picture on the left-hand side shows schematics of a domain, Ω ⊂ R 2 , the unit- unit-cell, Y , decomposed into N = 8 subdomains, Y (α)
Fig. 4.1. Geometries of (a) the whole domain containing a total of 40 unit-cells. (b)–(f) Ge- Ge-ometries of each unit-cell with the one- and two-nodule configurations
Fig. 4.3. Comparisons (geometry in Figure 4.1(e)) of nondiagonalized U 3eq and diagonalized U S3eq models to u Pdns for Pe = 300 and Pe = 500 at t = 10.
Fig. 4.4. Comparisons of U 2eq for the circular (Figure 4.1(b)) and elliptic (Figure 4.1(c)) domain decompositions to u Pdns Pe = 300 at t = 10.
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