realGasEosEqn
Gas dynamics with a general equation of state. The equations are
solved in conservative form.
\[\notag
\begin{align}
\frac{\partial}{\partial t}\left(
\begin{array}{c}
\rho \\
\rho\,u_{x} \\
\rho\,u_{y} \\
\rho\,u_{z} \\
e \\
\end{array}
\right) +
\nabla\cdot\left(
\begin{array}{ccc}
\rho\,u_{x} & \rho\,u_{y} & \rho\,u_{z} \\
\rho\,u_{x}^{2}+P & \rho\,u_{x}\,u_{y} & \rho\,u_{x}\,u_{z} \\
\rho\,u_{y}\,u_{x} & \rho\,u_{y}\,u_{y} + P & \rho\,u_{y}\,u_{z} \\
\rho\,u_{z}\,u_{x} & \rho\,u_{z}\,u_{y} & \rho\,u_{z}\,u_{z} + P \\
u_{x}\left(e+P\right) & u_{y}\left(e+P\right) & u_{z}\left(e+P\right)\\
\end{array}
\right) = 0
\end{align}\]
Parameters
basementPressure (float)- The minimum pressure allowed. Default is 0.
basementDensity (float)The minimum density allowed. Default is 0.
Note
basementPressure and basementDensity are only used if correct=true
correct (boolean)- Tells whether or not densities or pressures should be corrected when the fall below basement pressures or
basement densities. When set to true pressure=max(basementPressure, pressure) and
density = max(basementDensity, density)
Parent Updater Data
in (string vector, required)
Vector of conserved quantities (5 components)
- \(\rho\) mass density
- \(\rho\,u_{x}\) x momentum density
- \(\rho\,u_{y}\) y momentum density
- \(\rho\,u_{z}\) z momentum density
- \(e\) energy density
fluid pressure (1 component)
- \(P\) total fluid pressure (not magnetic pressure included)
gas dynamic sound speed (1 component)
- \(a\) estimate of the fluid sound speed
Example
An example realGasEos equation block is given below:
<Equation realGasEos>
kind = realGasEosEqn
</Equation>