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Table 4
Glossary of symbols.
| aT, bT, AT, BT, | |
| αT, βT | Parameters for Tillotson EoS |
| α,β | Parameters for artificial viscosity |
| cg | Crack growth speed |
| cs | Sound speed |
| C αβ | Correction tensor |
| d | Dimension |
| d t | Depth of tree node |
| D | Dimension |
| E 0 | Parameter for Tillotson EoS |
| E cv | Energy of complete vaporization |
| E iv | Energy of incipient vaporization |
| ϵ | Scalar strain |
| ϵ s | Parameter for artificial stress |
| ϵ v | Parameter for artificial viscosity |
|
Strain rate tensor |
| ζ αβ | Artificial stress |
| η | ϱ/ϱ0 |
| G | Gravitational constant |
| h | Smoothing length |
| J 2 | Second invariant of Sαβ |
| k | Parameter for Weibull distribution |
| K 0 | Bulk modulus at zero pressure |
| m | Parameter for Weibull distribution |
| m a | Mass of particle a |
| μ | Shear modulus |
| M ⊙ | Solar mass |
| n(ε) | Weibull distribution |
| n | Parameter for artificial stress |
| n act | Number of activated flaws |
| n M | Parameter for Murnaghan EoS |
| n tot | Number of total flaws of a particle |
| N children | Number of children of a tree node, 2D |
| N flaws | Number of total flaws |
| N threads | Number of threads on GPU |
| N p | Number of SPH particles |
| p | Pressure |
| Πab | Artificial pressure for particle a and b |
| r ab | Distance between particle a and b |
| R 0 | Initial radius of cloud sphere |
| R αβ | Rotation rate tensor |
| ϱ | Density |
| ϱ 0 | Initial density |
| s | Parameter for kernel function |
| s 0 | Edge length of root node |
| s d t | Edge length of node of depth dt |
| S αβ | Deviatoric stress tensor |
| σ αβ | Stress tensor |
| t | Time |
| t f | Free-fall time |
| T | Temperature |
| ϑ | Parameter for Barnes-Hut tree |
| u | Internal Energy |
| χ | η−1 |
| v esc | Escape velocity |
| W(rab;h) | Kernel function |
| x a | Coordinates of particle a |
| x sph | Factor for XSPH algorithm |
| v a | Velocity of particle a |
| Y 0 | Von Mises yield stress |
| Ω | Angular velocity |
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