Isothermal wall density and temperature images

Viscous isothermal walls set the face temperature to \(T_w\) and build ghost density/temperature by linear images subject to floors.

Equation of state

\[\rho = \frac{p}{R\,T\,\overline{W}^{-1}}\]

Temperature image

\[T' = \max\big(T_{\min},\, 2 T_w - T_{\mathrm{in}}\big)\]

Density image (first ghost layer)

\[\rho' = \max\big(\tfrac12\rho_w,\, 2\rho_w - \rho_{\mathrm{in}}\big)\]

where \(\rho_w = p/(R T_w)\).

References

• Blazek, J. Computational Fluid Dynamics: Principles and Applications (isothermal wall treatment).

• See boundary_velocity.rst and references.rst.

Pure APIs: IdealGasDensityFromPressureTemperature, MirrorScalarWithFloor, MirrorDensityAboutWall (NsBcPolicy.h). Tests: bc_policy_test.