ISSN 2079-3537      

 
 
 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                             
Scientific Visualization
Issue Year: 2013
Quarter: 3
Volume: 5
Number: 3
Pages: 52 - 64
Article Name: INVERSE PROBLEM OF SURFACE ENERGY DEPOSITION BASED ON THE COMPARISON BETWEEN NUMERICAL AND EXPERIMENTAL VISUALIZATION OF A SHOCK WAVE PROPAGATION ALONG THE DISTURBED AREA
Authors: E. Koroteeva (Russian Federation), I. Ivanov (Russian Federation)
  The paper is recommended by program committee of 12th International Conference OMFI – 2013 (Optical Methods of Flow Investigations).
Address: E. Koroteeva
koroteeva@physics.msu.ru
Lomonosov Moscow State University, Moscow, Russian Federation
 
I. Ivanov
Lomonosov Moscow State University, Moscow, Russian Federation
Abstract: In this paper, the influence of pulsed surface energy deposition on the non-stationary flow with a shock wave in a rectangular channel was considered. Using the analysis of the arising spatial supersonic flow as an example, the effective interaction of experimental and numerical flow visualization was illustrated.
In the experiments, the propagation of a M=1.5-3.0 plane shock wave along the surface of a distributed sliding nanosecond-lasting discharge («plasma sheet») 40-500 µs after its initiation was recorded by the shadowgraph technique. Due to the unique experimental setup geometry, the gas-dynamic flow in the discharge chamber of the shock tube was highly two-dimensional.
It allowed performing and analyzing calculations not only in three- but also in two-dimensional formulations. The numerical simulations were carried out on the basis of Navier-Stokes and Euler equations for compressible flow and an instantaneous pulsed energy deposition model.
The comparison of the experimental shadow images with the numerical flow visualization results allowed restoring the whole dynamics of the high-speed process. The inverse problem — evaluation of the initial parameters of energy deposition in gas — was also solved. Three-dimensional simulations revealed all the spatial features of the flow in the discharge chamber which could not be captured solely by the shadowgraph method and demonstrated the validity of the two-dimensional approximation.
Language: Russian