This work is dedicated to examine the impact of the initial condition uncertainties in shock-bubble interactions on quantities of interest. The quantities of interest are characteristic points and the size of the mixing region, the total circulation, the total mixing rate and the total molecular mixing fraction. The interaction of a shock wave with a circular heavy-gas region is investigated by two dimensional high-resolution Navier-Stokes simulations. The initial conditions are matched to previous experimental [1] and numerical works [2]. Based on these works three main uncertainty parameters are defined: the Mach number, the initial bubble deformation and the contamination of the circular SF 6 region with acetone. The compressible multicomponent flow solver INCA is coupled with the uncertainty analysis tool Dakota. Dakota uses a polynomial chaos expansion method in order to propagate the initial condition uncertainties to the output quantities of interest. It was found that the relative deviations of the geometrical quantities and of the circulation are smaller than the relative deviations of the total mixing rate and the total molecular mixing fraction. The Mach number has the strongest impact on the position of characteristic points of the mixing region. The variation of the total mixing rate and the total molecular mixing fraction are mostly affected by the variation of the bubble contamination with acetone. The deviation of the circulation is equally strong influenced by the Mach number and the contamination with acetone. Whereas the size of the mixing area depends on all three uncertainty parameters.     «

This work is dedicated to examine the impact of the initial condition uncertainties in shock-bubble interactions on quantities of interest. The quantities of interest are characteristic points and the size of the mixing region, the total circulation, the total mixing rate and the total molecular mixing fraction. The interaction of a shock wave with a circular heavy-gas region is investigated by two dimensional high-resolution Navier-Stokes simulations. The initial conditions are matched to previ...     »

This work is dedicated to examine the impact of the initial condition uncertainties in shock-bubble interactions on quantities of interest. The quantities of interest are characteristic points and the size of the mixing region, the total circulation, the total mixing rate and the total molecular mixing fraction. The interaction of a shock wave with a circular heavy-gas region is investigated by two dimensional high-resolution Navier-Stokes simulations. The initial conditions are matched to previous experimental [1] and numerical works [2]. Based on these works three main uncertainty parameters are defined: the Mach number, the initial bubble deformation and the contamination of the circular SF 6 region with acetone. The compressible multicomponent flow solver INCA is coupled with the uncertainty analysis tool Dakota. Dakota uses a polynomial chaos expansion method in order to propagate the initial condition uncertainties to the output quantities of interest. It was found that the relative deviations of the geometrical quantities and of the circulation are smaller than the relative deviations of the total mixing rate and the total molecular mixing fraction. The Mach number has the strongest impact on the position of characteristic points of the mixing region. The variation of the total mixing rate and the total molecular mixing fraction are mostly affected by the variation of the bubble contamination with acetone. The deviation of the circulation is equally strong influenced by the Mach number and the contamination with acetone. Whereas the size of the mixing area depends on all three uncertainty parameters.     «

This work is dedicated to examine the impact of the initial condition uncertainties in shock-bubble interactions on quantities of interest. The quantities of interest are characteristic points and the size of the mixing region, the total circulation, the total mixing rate and the total molecular mixing fraction. The interaction of a shock wave with a circular heavy-gas region is investigated by two dimensional high-resolution Navier-Stokes simulations. The initial conditions are matched to previ...     »