1 | Estimated from figures. | |
2 | For W_{max} = 50. | |
3 | For W_{max} = 50. | |
4 | Estimated from figures. | |
5 | Estimated from figures. | |
6 | Estimated from figures. | |
7 | Including points at shock transition. | |
8 | Estimated from figures. | |
9 | Maximum error. | |
10 | For a Riemann problem with slightly different initial conditions. | |
11 | For a Riemann problem with slightly different initial conditions including a nonzero transverse magnetic field. | |
12 | All methods produce stable profiles without numerical oscillations. Comments to Martí et al. (1997) and Font et al. (1999) refer to 1D, only. | |
13 | For a Riemann problem with slightly different initial conditions. | |
14 | At t = 0.15. | |
15 | For a mesh of 800 zones. | |
16 | For a mesh of 800 zones. | |
17 | D: excessive dissipation; O: oscillations; SE: systematic errors. | |
18 | All finite difference methods are extended by directional splitting. | |
19 | cAV-mono code [10] has improved the performance of explicit artificial-viscosity methods in dealing with ultra-relatistic flows, although the results are far from satisfactory. | |
20 | Contains all the methods listed in Table 3 (using characteristic information) with exception of rGlimm [295]. | |
21 | Methods based on a exact relativistic Riemann solver can make use of the solution for non-zero transverse speeds [235]. | |
22 | There exist GRHD extensions of several HRSC methods based on linearized Riemann solvers. The procedure developed by Pons et al. [234] allows any SRHD Riemann solver to be applied to GRHD flows. | |
23 | Important advances [143, 14] although only partial success up to now. | |
24 | Only accomplished by second-order methods [138, 10]. | |
25 | Needs confirmation. | |
26 | [150, 262, 204]. | |
27 | There is one code which considered such an extension [172], but the results are not completely satisfactory. |
http://www.livingreviews.org/lrr-2003-7 |
© Max Planck Society and the author(s)
Problems/comments to |