Supersonic Patches in Steady Irregular Reflection of Weak Shock Waves
Guderley theoretical model [1, 2] for weak shock wave reflection is a well-known way to overcome the von Neumann paradox within the gas dynamic framework. Recent Euler calculations  confirmed conceptual issues of Guderley theory for steady shock reflection. An expansion fan and a local supersonic patch were found behind the triple point. A numerical simulation based on the shock fitting technique was used in that study. Ivanov et al. , however, did not reveal any supersonic patches in Euler computations based on both the shock-fitting and shock-capturing techniques. Tesdall et al.  discovered a sequence of supersonic patches and triple points along the Mach stem for unsteady shock reflection. The results of numerical simulation showed a sequence of triple points and tiny supersonic patches behind the leading triple point. Another interesting result was also obtained in  within the framework of depth-averaged two-dimensional inviscid shallow water flow model. The nested-block grid refinement technique was used in those studies to achieve high resolution of the computational mesh. A supercritical patch was discovered. Thus, at the present time, the question about the supersonic patch structure is still open.
KeywordsTriple Point Incident Shock Direct Simulation Monte Carlo Shock Intersection Mach Stem
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