Numerical Computation of Internal & External Flows

| a | convection velocity or wave speed |
| A | Jacobian of flux function |
| c | speed of sound |
| c P | specific heat at constant pressure |
| c v | specific heat at constant volume |
| D | first derivative operator |
| e | internal energy per unit mass |
| e | vector (column matrix) of solution errors |
| | unit vectors along the x,y,z directions |
| E | total energy per unit volume |
| E | finite difference displacement (shift) operator |
| f | flux function |
| | external force vector |
| | flux vector with components f, g, h |
| g | gravity acceleration |
| G | amplification factor/matrix |
| h | enthalpy per unit mass |
| H | total enthalpy |
| I | rothalpy |
| J | Jacobian |
| k | coefficient of thermal conductivity |
| k | wave number |
| M | Mach number |
| n | normal distance |
| | normal vector |
| P | pressure |
| P | convergence or conditioning operator |
| Pr | Prandtl number |
| q | non homogeneous term |
| q H | heat source |
| Q | source term; matrix of non homogeneous terms |
| r | gas constant per unit mass |
| R | residual of iterative scheme |
| Re | Reynolds number |
| s | entropy per unit mass |
| S | space discretization operator |
| | surface vector |
| t | time |
| T | temperature |
| u | dependent variable |
| U | vector (column matrix) of dependent variables |
| U | vector of conservative variables; velocity |
| | velocity vector with components u, v, w |
| V | eigenvectors of space discretization matrix |
| | relative velocity |
| W | weight function |
| x, y, z | cartesian coordinates |
| z | amplification factor of time integration scheme |
| ? | diffusivity coefficient |
| ? | dimensionless diffusion coefficient ? = ? ?t/ ?x, also called Von Neumann number |
| ? | specific heat... |