The change in Primitive variables are calculated as follows:
\( \Delta \rho = \rho - \rho_{t} \) ; \( \Delta \bar{V} = (\bar{V} - \bar{V}_{t})*\rho_{t} \) ; \( \Delta P = \dfrac{P - P_{t}}{\gamma - 1} \)
Thus, only one of \( \Delta PV \) or \( PV_t \) needs to be prescribed.

0: Pressure and Density sponge to infinity values: \( \rho_t = \rho_{\infty} \)
\( \Delta \bar{V} = 0 \)
\( P_t = P_{\infty} \)

1: Pressure and Density sponge: \( \Delta \rho = \rho \dfrac{\Delta P}{P} \)
\( \Delta \bar{V} = 0 \)
\( P_t = P_{\infty} \)

3: Pressure Velocity and Density sponge: \( \rho_t = \rho_{\infty} * f_{\rho} \), where \( f_{\rho} \) is the targetDensityFactor
\( P_t = P_{\infty} \)

5: Channel Flow

6: Pressure and Density sponge to infinity values: \( \rho_t = \rho_{\infty} \)
\( \Delta \bar{V} = 0 \)
\( P_t = P_{\infty} \)

77: Sponge layer for STG forcing

41: FAN -> Alexej Pogorelov

47: Hardcoded

Warning: The coordinate values are hardcoded in the implementation. Please see the code for detailed implementation.

446: Pressure sponge: \( \Delta \rho = 0 \)
\( \Delta \bar{V} = 0 \)
\( \Delta P = \rho E - \dfrac{P_\infty}{\gamma-1}+\dfrac{1}{2} \rho {||\bar{V}||}^2 \)

11212: Pressure sponge to infinity: \( \Delta \rho = 0 \)
\( \Delta \bar{V} = 0 \)
\( P_t = P_{\infty} \)

11213: Flame

11214: Flame

51: General Sponge with Average

100: Jet

333: Velocity sponge to infinity: \( \Delta \rho = 0 \)
\( \bar{V}_t = \bar{V}_{\infty} \)
\( \Delta P = 0 \)

2014: Pressure Velocity and Density sponge to infinity: \( \rho_t = \rho_{\infty} \)
\( \bar{V}_t = \bar{V}_{\infty} \)
\( P_t = P_{\infty} \)

91900: Flame

919001: Flame Hardcoded

Warning: The coordinate values are hardcoded in the implementation. Please see the code for detailed implementation.

919002: Flame Hardcoded

Warning: The coordinate values are hardcoded in the implementation. Please see the code for detailed implementation.

40: Pressure and Density sponge: \( \rho_t = \rho_{\infty} * f_{\rho} \), where \( f_{\rho} \) is the targetDensityFactor
\( \Delta \bar{V} = 0 \)
\( \Delta P = P_\infty + \Delta P_\tau (\text{DomainBndry[3]} - y_{cell}) \)

1174: Sponge for jet exiting (chevron) nozzle

2: vortex-pair cylinder (quiescent flow prescribed): \( \rho_t = \rho \dfrac{\Delta P}{P} \)
\( \Delta \bar{V} = \bar{V}*\rho_t \)
\( P_t = P_{\infty} \)

4: quiescent flow- Pressure and Density Sponged: \( \rho_t = 1.0 \)
\( \Delta \bar{V} = 0 \)
\( P_t = P_{\infty} \)

7: shock

1930: backward-facing step combustor

17511: forced response

1990: DL instability

17512: ...

17514: DL instability

17515: forced response velocity profile- forcing via sponge layer