Table 2.
L1 values for errors E1 and E2 at t = 1.5 in the hydrostatic square test.
| Model | σ | αu | X | L1(E1) | L1(E2) | L1(d) |
|---|---|---|---|---|---|---|
| [ × 10−3] | [ × 10−3] | [ × 10−2] | ||||
| H1 | 0.0 | 0.1 | m | 3.0 | 2.5 | 3.2 |
| H2 | 0.0 | 1.0 | m | 3.0 | 2.6 | 3.1 |
| H3 | 1.0 | 0.1 | m | 4.4 | 3.2 | 1.6 |
| H4 | [0–1] | 0.1 | m | 5.0 | 3.5 | 2.0 |
| H5 | 0.0 | 0.1 | m/ρ0 | 2.1 | 2.7 | 3.2 |
| H6 | 0.0 | 1.0 | m/ρ0 | 2.5 | 2.9 | 3.0 |
| H7 | 1.0 | 0.1 | m/ρ0 | 2.5 | 3.2 | 1.5 |
| H8 | [0–1] | 0.1 | m/ρ0 | 2.7 | 3.3 | 2.0 |
Notes. The significance of the columns: σ is the magnitude defined in Eq. (29), αu controls the amount of heat transport in the AV (Eq. (34)), X is the estimator connected to the VE choice and L1(E1), L1(E2), L1(d) are the averaged L1 values of the partition of unity, the ⟨Δr⟩/h condition, and the deviations of the SPH particles from their initial position, respectively.
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