The simplicity of the local pressure boundary condition approach and its easy adaptation to more general flow settings make the resulting scheme an attractive alternative to the more popular methods for solving the Navier Stokes equations in the velocity pressure formulation.
The close relationship between the asymmetric and ray-theory approximations suggests that the high-frequency asymptotic Green function for more general mean flows would be similarly successful.
The ray-theory solution, which is the only high-frequency approximation that can be applied to more general mean flows, follows from a WKB ansatz and is shown to be closely related to the asymmetric approximation.
These results were much improved and extended by Lin to more general odd symmetric flows in [11] and other classes of shear flows in [12].
This holds potentially great advantages in treating more general, nonpremixed, reacting flows which may be computationally intractable without resorting to quasi-steady modeling.
Both the two-phase model and analytical solutions presented in this paper may be applicable to more general two-phase flow phenomena through mini- and micro-channels.
