2D isentropic vortex problem | ||||||||
---|---|---|---|---|---|---|---|---|
 | \(\boldsymbol{N}_{\boldsymbol{x}}\) | ADER-Prim | ADER-Cons | ADER-Char | Theor. | |||
\(\boldsymbol{L}_{\boldsymbol{2}}\) error | \(\boldsymbol{L}_{\boldsymbol{2}}\) order | \(\boldsymbol{L}_{\boldsymbol{2}}\) error | \(\boldsymbol{L}_{\boldsymbol{2}}\) order | \(\boldsymbol{L}_{\boldsymbol{2}}\) error | \(\boldsymbol{L}_{\boldsymbol{2}}\) order | |||
\(\mathbb{P}_{0}\mathbb{P}_{2}\) | 100 | 4.060E-03 | - | 5.028E-03 | - | 5.010E-03 | - | 3 |
120 | 2.359E-03 | 2.98 | 2.974E-03 | 2.88 | 2.968E-03 | 2.87 | ||
140 | 1.489E-03 | 2.98 | 1.897E-03 | 2.92 | 1.893E-03 | 2.92 | ||
160 | 9.985E-04 | 2.99 | 1.281E-03 | 2.94 | 1.279E-03 | 2.94 | ||
200 | 5.118E-04 | 2.99 | 6.612E-04 | 2.96 | 6.607E-04 | 2.96 | ||
\(\mathbb{P}_{0}\mathbb{P}_{3}\) | 50 | 2.173E-03 | - | 4.427E-03 | - | 5.217E-03 | - | 4 |
60 | 8.831E-04 | 4.93 | 1.721E-03 | 5.18 | 2.232E-03 | 4.65 | ||
70 | 4.177E-04 | 4.85 | 8.138E-04 | 4.85 | 1.082E-03 | 4.69 | ||
80 | 2.194E-04 | 4.82 | 4.418E-04 | 4.57 | 5.746E-04 | 4.74 | ||
100 | 7.537E-05 | 4.79 | 1.605E-04 | 4.53 | 1.938E-04 | 4.87 | ||
\(\mathbb{P}_{0}\mathbb{P}_{4}\) | 50 | 2.165E-03 | - | 3.438E-03 | - | 3.416E-03 | - | 5 |
60 | 6.944E-04 | 6.23 | 1.507E-03 | 4.52 | 1.559E-03 | 4.30 | ||
70 | 3.292E-04 | 4.84 | 7.615E-04 | 4.43 | 7.615E-04 | 4.65 | ||
80 | 1.724E-04 | 4.84 | 4.149E-04 | 4.55 | 4.148E-04 | 4.55 | ||
100 | 5.884E-05 | 4.82 | 1.449E-04 | 4.71 | 1.448E-04 | 4.72 |