Table 2.
Estimates of the dimensionless coefficient 𝔑 and the empirical order of convergence r for the two models defined by Eqs. (19) and (21).
| Limit | Reconstruction | 𝔑 | r | Δm/m |
|---|---|---|---|---|
| Model A | MC | 4.4 × 10−3 | 1.95 | 0.27 |
| MP5 | 1.2 × 10−3 | 2.31 | 0.17 | |
| MP7 | 4.7 × 10−4 | 2.57 | 0.20 | |
| MP9 | 1.7 × 10−4 | 2.84 | 0.25 | |
| Model B | MC | 5.1 × 10−3 | 2.34 | 0.38 |
| MP5 | 1.1 × 10−3 | 2.78 | 0.28 | |
| MP7 | 3.5 × 10−3 | 3.08 | 0.30 | |
| MP9 | 1.0 × 10−3 | 3.41 | 0.34 | |
Notes. The parameters are obtained by the linear fit given by Eq. (24). In the last column, we display the relative deviation of the fit parameter m (see Fig. 3) from its analytical value ma (for the latter, employing a resolution-dependent length scale ℒ, Eq. (33), and Rembiasz et al. 2017) in the corresponding limit and assuming ideal order of accuracy of the scheme (see Sect. 4).
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