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Table 3
ℒ1 norm errors in density for the blast-wave test, evaluated over the whole domain.
| Resolution | Scheme | ∥ ρexact − ρnum ∥ 1 |
|
|
||
| 400 | FORCE | 1.59 × 10-1 |
| GFORCE | 1.54 × 10-1 | |
| GFORCE3 | 1.44 × 10-1 | |
| HLL | 2.05 × 10-1 | |
|
|
||
| 800 | FORCE | 1.16 × 10-1 |
| GFORCE | 1.13 × 10-1 | |
| GFORCE3 | 9.95 × 10-2 | |
| HLL | 2.00 × 10-1 | |
|
|
||
| 1600 | FORCE | 6.27 × 10-2 |
| GFORCE | 6.13 × 10-2 | |
| GFORCE3 | 5.07 × 10-2 | |
| HLL | 1.11 × 10-1 | |
Notes. All simulations used the van Leer limiter, CFL 0.99, and the first-order reduction for the first five time-steps.
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