Table 2 \(\pmb{L_{1}}\) error in the z -momentum density and the z -component of the magnetic field as a function of mesh resolution at the third order
From: Riemann solvers and Alfven waves in black hole magnetospheres
Zones | \(\boldsymbol{L_{1}}\) error z -momentum density | Accuracy | \(\boldsymbol{L_{1}}\) error z -magnetic field | Accuracy |
|---|---|---|---|---|
60 × 60 | 2.1295 × 10−1 |  | 9.2981 × 10−2 |  |
120 × 120 | 3.7593 × 10−2 | 2.50 | 1.6720 × 10−2 | 2.48 |
240 × 240 | 5.1524 × 10−3 | 2.87 | 2.2025 × 10−3 | 2.92 |