DOI: 10.17586/2226-1494-2017-17-5-920-928


M. P. Bulat, I. A. Volobuev, Волков К.Н., V. A. Pronin

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For citation: Bulat M.P., Volobuev I.A., Volkov K.N., Pronin V.A. Numerical simulation of regular and Mach reflection of shock wave from the wall. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2017, vol. 17, no. 5, pp. 920–928 (in Russian). doi: 10.17586/2226-1494-2017-17-5-920-928


A numerical simulation of the shock wave reflection from a plane wall is carried out. Depending on the input parameters, a regular (two-wave configuration) or Mach (three-wave configuration) reflection is observed. A finite volume method and high-order difference schemes are used for discretization of the Euler equations describing the flow of an inviscid compressible gas. The application of weighted essentially non-oscillatory (WENO) schemes of high accuracy order realized in different forms on unstructured meshes is demonstrated. The calculated shock-wave configuration is compared with the data available in the literature. It is shown that the WENO-scheme of the fourth order accuracy in characteristic version gives the possibility to reproduce much more details than the scheme of the third order with the absence of solution oscillations characteristic of TDV (Total Variation Diminishing) schemes and component-wise WENO schemes. The criteria for the accuracy of numerical calculations related to the location of shock-wave structures are discussed. Recommendations on the practical application of high order difference schemes on unstructured grids are given.

Keywords: shock wave, reflection, supersonic flow, numerical simulation, WENO scheme

Acknowledgements. This work was financially supported by the Ministry of Education and Science of the Russian Federation (agreement No 14.578.21.0203, unique identifier of applied scientific research RFMEFI57816X0203).

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