Node53 - CFD SUPPORT

Next: Incompressible Mathematical Model Up: Turbomachinery CFD Solver Previous: Turbomachinery CFD Solver Contents Index

Compressible Mathematical Model

The computational model solves following system of equations:

Mass conservation
Momentum conservation
Energy conservation and , two options
where: Einstein summation is used, $\color{white} \partial$ is partial derivative, $\color{white} x_i$ is i-th Cartesian coordinate, $\color{white} \rho$ is density, $\color{white} u_i$ is i-th velocity vector component, $\color{white} t$ is time, $\color{white} p$ is static pressure, $\color{white} \tau$ shear stress tensor, $\color{white} \delta_{ij}$ is Kronecker delta, $\color{white} e_0$ is total specific energy, $\color{white} \mu$ is dynamic viscosity, $\color{white} S_{ij}$ is rate-of-deformation tensor, $\color{white} T$ is static temperature, $\color{white} Pr$ is Prandtl number, $\color{white} R$ specific gas constant, $\color{white} C_p$ specific heat capacity (at constant pressure), $\color{white} C_v$ specific heat capacity (at constant volume), $\color{white} q_i$ i-th heat flux component (Fourier law), $\color{white} \lambda$ heat conductivity coefficient.
The whole system is closed with boundary conditions.

Next: Incompressible Mathematical Model Up: Turbomachinery CFD Solver Previous: Turbomachinery CFD Solver Contents Index