Table 1
AV variants considered in this work.
| Method | SLR | ℬ modulation | Switches | α coefficient | Notes |
|---|---|---|---|---|---|
| 1: AV | No | - | No | α=1 | Classical shock-capturing baseline. |
| 2: AVSW | No | - | Yes | αa ∈[αmin, αmax] | Time-dependent α. |
| 3: AVSLR | Yes | No | No | α=1 | Slope-limited reconstruction. |
| 4: AVSWSLR | Yes | No | Yes | αa ∈[αmin, αmax] | Hybrid: switches + SLR. |
| 5: AVSLRB | Yes | (1-ℬ) | No | α=1 | No SLR when ℬ ≃ 1; strong SLR when ℬ ≃ 0. |
| 6: AVSLRB2 | Yes | (1−ℬ2) | No | α=1 | No SLR when ℬ ≃ 1; strong SLR if ℬ ≲ 0.3. |
| 7: AVSLRB2ℱ | Yes | (1−ℬ2) | No | α=αmax × max [ℱ, ℬ] | Hybrid: SLR +α with floor value ℱ. |
Notes. SLR denotes the slope-limited velocity reconstruction of Eqs. (11)–(12), optionally modulated by the Balsara factor ℬ (0 ≤ ℬ ≤ 1) via Eqs. (18)–(19). Switches refers to time-dependent α(r, t). The last row is discussed in relation to the subsonic turbulence scenario (Sect. 4). The coefficient β is always fixed to β=2.
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