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              <p>he local interactions occurring between incident and reflected shock waves in the vicinity of rigid surfaces are investigated. Both regular and irregular — also called von Neumann — regimes of reflection are studied, via experimental and numerical simulations. Shock waves are produced experimentally with a 20 kV electrical spark source  which  allows  the  generation  of  spherically  diverging  acoustic  shocks.  Thebehaviour of the resulting weak acoustic shocks near rigid boundaries is visualized with a Schlieren optical technique which allows the spatial structure of the shocks to  be  studied.  In  particular,  the  evolution  of  the  Mach  stem  forming  above  a  flat surface  is  examined,  and  its  height  is  observed  to  be  directly  linked  to  the  angle of  incidence  and  the  pressure  amplitude  of  the  incident  shock.  The  propagationof  an  acoustic  shock  between  two  parallel  rigid  boundaries  is  also  studied.  It  is shown that the strong interactions between the Mach stems emerging from the two boundaries  can  lead  to  a  drastic  modification  of  the  morphology  of  the  acoustic field  in  the  waveguide.  Experimental  results  are  compared  to  numerical  results obtained from high-order finite-difference based simulations of the 2D Navier-Stokes equations. The good agreement between the experimental distribution of the acoustic field and numerical results suggests that numerical simulations are promising as a predictive tool to study nonlinear acoustic propagation of acoustic waves in complex geometrical configurations with rigid boundaries.</p>
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