Interaction of Numerical and Experimental Visualization at Investigation of Discharge Properties by Means of Shock Wave Configurations Analysis
An approach to the analysis of the flow with energy deposition on the basis of the inverse problem is considered. The method involves the numerical experiments targeting to find the unknown parameter (in case considered - the spatial distribution of the energy of the localized energy deposition) by comparing the numerical and experimental images with known controlled parameters. Eliminating differences in experimental and numerical visualization of gas-dynamic flow results is finding the right solutions. In the case considered the energy deposition into the flow with a shock wave occurs in the combined discharge-the pulse volume discharge with preionization by ultraviolet radiation from the plasma sheet. These flows are of great interest from different points of view. They implemented a number of interesting phenomena, such as the interaction of a shockwave with the warmed surface layer rand the instability of the tangential discontinuity by a shock wave. Rather complex discontinuity configuration of the unsteady flow makes high demands on numerical algorithms and, thus, stimulates their further improvement. One of the most promising and already wide used approaches for the numerical simulation of supersonic flows is the WENO (weighted essentially non-oscillatory) schemes. This is the algorithm used during the calculations presented. The paper presents the results of the spatial distribution of the combined energy of the pulsed nanosecond discharge investigation by the method of analyzing the dynamics of two-dimensional shock-wave configurations. The numerical 1D and 2D implementation of two versions of the problem statement are presented. The configuration and evolution of the discontinuities arising from the interaction of the discharge with a plane shock wave in the channel are described. Taken into account the inhomogeneous distribution of energy input and the way in which it affects the course were considered.