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Table 2
Density peak for strongly relativistic shock as predicted by various methods at a resolution of 400 cells.
| Scheme | Density peak | Proportion of exact peak |
|
|
||
| Exact | 10.42 | 100% |
| FORCE | 6.84 | 65.6% |
| FORCE2 | 7.56 | 72.6% |
| FORCE3 | 8.04 | 77.2% |
| FORCE5 | 8.24 | 79.1% |
| GFORCE | 6.99 | 67.1% |
| GFORCE2 | 7.45 | 71.5% |
| GFORCE3 | 7.78 | 74.7% |
| GFORCE5 | 7.98 | 76.6% |
| HLL | 7.26 | 69.7% |
Notes. The approximate methods all used CFL 0.99, van Leer limiter, and the first-order reduction for the first five steps as indicated in the main text.
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