The interaction of shocks with two-phase flows occurs in many technical applications such as spray generation and liquid-fuel combustion. The complexity implied by the occurrence of shock-interface interactions prevents a reliable prediction by experiments. A reliable prediction by simulation is currently obstructed by uncertainties in interaction modelling and uncertainties of initial and boundary data. The motivation of the current project can be summarized as: (i) to assess known uncertainty quantification methods for a physically complex interaction problem in fluid mechanics, (ii) improve such methods or develop new methods which are better suited and allow for more efficient application to complex interactions in fluid mechanics, (iii) for the first time achieve a quantitative estimate for the different modelling and physical uncertainties determining shock-interface interactions in two-phase flows.
The objective of the described project is the analysis and quantification of the uncertainty implied by the assumed properties for gas and liquid (equation of state, surface tension, viscosity), and due to corrugations of impinging shock and interface with shock-liquid-droplet interaction. A suitable uncertainty measure needs to be defined based on the time and space evolution of the fluid state variables or derived quantities such as vorticity. The uncertainty measure should reflect the main engineering objective of shock-bubble interaction, i.e. increase of chaotic mixing. The flow state is computed by a simulation code where the conservative interaction method recently proposed by us is implemented.
So, K.K., et al.: "Anti-diffusion interface sharpening technique for two-phase compressible flow simulations", 2012.
So, K.K., et al.: "Uncertainty quantification for shock-bubble interaction, Proceedings of the Sonderforschungsbereich Transregio 40 (SFB-TR 40)", Germany, 2011.
So, K.K., et al.: "Anti-diffusion method for interface steepening two-phase incompressible flow", 2011.
So, K.K., et al.: "Uncertainty analysis for shock-bubble interaction", Stanford, 2010.
Professor Gianluca Iaccarino
Mechanical Engineering and Institute for Computational Mathematical Engineering, Stanford University, USA