Abstract
Weak steady Mach reflections are numerically simulated using unstructured grids by means of either “shock-fitting” or “shock-capturing” techniques. It is shown that shock-fitting allows using coarser meshes than those required by shock-capturing, since the latter needs mesh refinement in the direction normal to the discontinuities, which is not needed using the former approach. The shock-fitted solution is also free from the numerical disturbances that arise along the captured discontinuities and pollute the captured solution in the smooth flowfield region. Finally, the shock-fitting solutions show the presence of a small region next to the Mach stem and the reflected shock downstream of the triple point, characterized by very high gradients.
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Communicated by E. Timofeev and H. Kleine.
This paper was based on work that was presented at the 27th International Symposium on Shock Waves, St. Petersburg, Russia, 19–24 July 2009.
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Ivanov, M.S., Bonfiglioli, A., Paciorri, R. et al. Computation of weak steady shock reflections by means of an unstructured shock-fitting solver. Shock Waves 20, 271–284 (2010). https://doi.org/10.1007/s00193-010-0266-y
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DOI: https://doi.org/10.1007/s00193-010-0266-y