Table 1 \(\pmb{L_{1}}\) error in the z -momentum density and the z -component of the magnetic field as a function of mesh resolution at the second 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 | 2.7693 × 10−1 |  | 1.1971 × 10−1 |  |
120 × 120 | 7.5660 × 10−2 | 1.87 | 3.3246 × 10−2 | 1.85 |
240 × 240 | 1.6083 × 10−2 | 2.23 | 7.1989 × 10−3 | 2.21 |