|
2D circularly polarized Alfvén wave
|
|---|
| |
\(\boldsymbol{N}_{\boldsymbol{x}}\)
|
\(\boldsymbol{L}_{\boldsymbol{1}}\)
error
|
\(\boldsymbol{L}_{\boldsymbol{1}}\)
order
|
\(\boldsymbol{L}_{\boldsymbol{2}}\)
error
|
\(\boldsymbol{L}_{\boldsymbol{2}}\)
order
|
Theor.
|
|---|
|
\(\mathbb{P}_{0}\mathbb{P}_{2}\)
|
50
|
5.387E-02
|
-
|
9.527E-03
|
-
|
3
|
|
60
|
3.123E-02
|
2.99
|
5.523E-03
|
2.99
|
|
70
|
1.969E-02
|
2.99
|
3.481E-03
|
2.99
|
|
80
|
1.320E-02
|
2.99
|
2.334E-03
|
2.99
|
|
100
|
6.764E-03
|
3.00
|
1.196E-03
|
3.00
|
|
\(\mathbb{P}_{0}\mathbb{P}_{3}\)
|
50
|
2.734E-04
|
-
|
4.888E-05
|
-
|
4
|
|
60
|
1.153E-04
|
4.73
|
2.061E-05
|
4.74
|
|
70
|
5.622E-05
|
4.66
|
1.004E-05
|
4.66
|
|
80
|
3.043E-05
|
4.60
|
5.422E-06
|
4.61
|
|
100
|
1.108E-05
|
4.53
|
1.968E-06
|
4.54
|
|
\(\mathbb{P}_{0}\mathbb{P}_{4}\)
|
30
|
2.043E-03
|
-
|
3.611E-04
|
-
|
5
|
|
40
|
4.873E-04
|
4.98
|
8.615E-05
|
4.98
|
|
50
|
1.603E-04
|
4.98
|
2.846E-05
|
4.96
|
|
60
|
6.491E-05
|
4.96
|
1.168E-05
|
4.88
|
|
70
|
3.173E-05
|
4.64
|
6.147E-06
|
4.16
|
- The errors have been computed with respect to the magnetic field \(B^{y}\).
