p

Pressure

T

Temperature

t

Time

a

Speed of sound

b_ij

Reynolds stress anisotropy

C_p

Specific heat at constant pressure

C_v

Specific heat at constant volume

R

Ideal gas constant

R_ij

Reynolds stress

M_t

Turbulent Mach number

M_g

Gradient Mach number

M_c

Convective Mach number

K

Turbulent kinetic energy

u_i

Velocity in the direction xi

d'

Fluctuation of the dilatation

(.)_,i

Xi-derivative

(.)_,t

Time-derivative

Greek symbols

$\gamma$

Specific heat ratio

$\epsilon$

Turbulent dissipation

${\epsilon }_s$

Solenoidal dissipation

${\epsilon }_c$

Compressible dissipation

$\rho$

Density

$\mu$

Viscosity coefficient

$\kappa$

Thermal conductivity coefficient

${\pi }_d=\overline{p^{\prime }{d}^{\prime }}$

Pressure-dilatation correlation

$P_{ij}^{*}$

Deviator of the pressure strain tensor

${\delta }_{ij}$

Kronecker delta

${\tau }_{ij}$

Viscous stress tensor

Statistic symbols

(.)”

Favre fluctuation

(.)’

Reynolds fluctuation

$\widetilde{\left(\right)}$

Favre averaged

$\overline{\left(\text{.}\right)}$

Reynolds averaged