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Parallel implicit anisotropic block-based adaptive mesh refinement finite-volume scheme for the study of fully resolved oblique shock wave reflections

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Abstract

A new parallel, fully implicit, anisotropic block-based adaptive mesh refinement (AMR) finite-volume scheme is proposed, described and demonstrated for the prediction of laminar, compressible, viscous flows associated with unsteady oblique shock reflection processes. The proposed finite-volume method provides numerical solutions to the Navier–Stokes equations governing the flow of polytropic gases in an accurate and efficient manner on two-dimensional, body-fitted, multi-block meshes consisting of quadrilateral computational cells. The combination of the anisotropic AMR and parallel implicit time-marching techniques adopted is shown to readily facilitate the simulation of challenging and complex shock interaction problems, as represented by the time-accurate predictions of unsteady oblique shock reflection configurations with fully resolved internal shock structures.

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Acknowledgments

The computational resources used to perform all of the calculations reported in this research have been provided by the SciNet High Performance Computing Consortium at the University of Toronto and Compute/Calcul Canada through funding from the Canada Foundation for Innovation (CFI) and the Province of Ontario, Canada.

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Authors and Affiliations

  1. Institute for Aerospace Studies, University of Toronto, 4925 Dufferin Street, Toronto, ON, M3H 5T6, Canada

    M. K. Hryniewicki, C. P. T. Groth & J. J. Gottlieb

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  1. M. K. Hryniewicki
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  2. C. P. T. Groth
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  3. J. J. Gottlieb
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Correspondence to M. K. Hryniewicki.

Additional information

Communicated by R. Bonazza.

This paper is based on work that was presented at the 29th International Symposium on Shock Waves, Madison, Wisconsin, USA, July 14–19, 2013.

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Hryniewicki, M.K., Groth, C.P.T. & Gottlieb, J.J. Parallel implicit anisotropic block-based adaptive mesh refinement finite-volume scheme for the study of fully resolved oblique shock wave reflections. Shock Waves 25, 371–386 (2015). https://doi.org/10.1007/s00193-015-0572-5

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