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After calculating the update to the pressure (conservation of mass) and temperature (conservation of energy) the density is updated:
\rho_P ^{(m)} is obtained from p_P ^{(m)} and T_p ^{(m)} :
| \rho_P ^{(m)} = \frac{p_P ^{(m)} }{r T_P ^{(m)} }, | (711) |
whereas \overrightarrow{\rho }_f^{(m)} satisfies
| \overrightarrow{\rho }_f^{(m)} = \frac{\overrightarrow{p}_f ^{(m)} }{r \overline{T}_f ^{(m)} }. | (712) |