A finite-volume hybrid WENO/central-difference shock capturing approach with detailed state-to-state kinetics for high-enthalpy flows

A finite-volume hybrid WENO/central-difference shock capturing approach with detailed state-to-state kinetics for high-enthalpy flows

Francesco Bonelli, Davide Ninni, Gianpiero Colonna, Giuseppe Pascazio

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Abstract. This work shows novel space discretization capabilities of an innovative fluid dynamics solver able to deal with thermochemical non-equilibrium by using a detailed state-to-state model. The implementation of a WENO hybrid scheme is verified and thermochemical non-equilibrium effects are investigated by considering a high temperature shock tube test case. The work represents a first step to enable the solver to perform LES and DNS simulations of turbulent hypersonic flows.

Keywords
WENO, Hybrid Schemes, Hypersonics, Thermochemical Non-Equilibrium

Published online 11/1/2023, 4 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: Francesco Bonelli, Davide Ninni, Gianpiero Colonna, Giuseppe Pascazio, A finite-volume hybrid WENO/central-difference shock capturing approach with detailed state-to-state kinetics for high-enthalpy flows, Materials Research Proceedings, Vol. 37, pp 170-173, 2023

DOI: https://doi.org/10.21741/9781644902813-37

The article was published as article 37 of the book Aeronautics and Astronautics

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

References
[1] J.D. Anderson Jr., Hypersonic and High-Temperature Gas Dynamics, second ed., American Institute of Aeronautics and Astronautics, Inc., Reston, Virginia, 2006.
[2] G. Pascazio, D. Ninni, F. Bonelli, G. Colonna, Hypersonic flows with detailed state-to-state kinetics using a GPU cluster. In Plasma Modeling (Second Edition): Methods and applications. IOP Publishing. Bristol, UK, 2022, pp. 10-1–10-41. https://doi.org/10.1088/978-0-7503-3559-1
[3] D. Ninni, F. Bonelli, G. Colonna, G. Pascazio, On the influence of non equilibrium in the free stream conditions of high enthalpy oxygen flows around a double-cone. Acta Astronaut., 201 (2022) 247-258. https://doi.org/10.1016/j.actaastro.2022.09.017
[4] E. Johnsen et al., Assessment of high-resolution methods for numerical simulations of compressible turbulence with shock waves, J. Comput. Phys. 229.4 (2010) 1213-1237. https://doi.org/10.1016/j.jcp.2009.10.028
[5] G.S. Jiang, C.W. Shu, Efficient implementation of weighted ENO schemes. J. Comput. Phys., 126.1 (1996) 202-228. https://doi.org/10.1006/jcph.1996.0130
[6] CW. Shu, Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws. in: Quarteroni, A. (eds) Advanced Numerical Approximation of Nonlinear Hyperbolic Equations. Lecture Notes in Mathematics, vol 1697. Springer, Berlin, Heidelberg, 1998, pp. 325-432 https://doi.org/10.1007/BFb0096355
[7] D.J. Hill, D.I. Pullin, Hybrid tuned center-difference-WENO method for large eddy simulations in the presence of strong shocks, J. Comput. Phys. 194 (2004) 435–450. https://doi.org/10.1016/j.jcp.2003.07.032
[8] B. Grossman, P. Cinnella, Flux-split algorithms for flows with non-equilibrium chemistry and vibrational relaxation. J. Comput. Phys. 88.1 (1990) 131-168. https://doi.org/10.1016/0021-9991(90)90245-V