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Application of Finite Difference TVD Methods in Hypersonic Aerodynamics

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Finite Difference Methods,Theory and Applications (FDM 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9045))

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Abstract

The numerical method for solving of the hypersonic nonequilibrium aerogasdynamics problems is suggested. The method is based on the full three-dimensional Navier-Stokes equations, supplemented by the equations of chemical kinetics and the finite difference TVD method. The developed algorithms are implemented in the computer-aided software package SIGMA. The results of simulation of the hypersonic flow about the spherical nose segment of a model hypersonic vehicle are presented.

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References

  1. Harten, A.: High resolution schemes for hyperbolic conservation laws. J. Comp. Phys. 49, 357–393 (1983)

    Article  MATH  MathSciNet  Google Scholar 

  2. Gil’manov, A.N.: Metody adaptivnyx setok v zadachax gazovoj dinamiki [Methods of Adaptive Meshes in Gas Dynamic Problems]. Fizmatlit, Moscow (2000)

    Google Scholar 

  3. Anderson, J.D.: Hypersonic and High-Temperature Gas Dynamics, 2nd edn. American Institute of Aeronautics and Astronautics, Reston (2006)

    Book  Google Scholar 

  4. Dimitrienko, Y.I., Kotenev, V.P., Zakharov, A.A.: Metod lentochnyh adaptivnyh setok dlja chislennogo modelirovanija v gazovoj dinamike [Methods of Adaptive Band-Net Meshes for Numerical Simulation in Gas Dynamics]. Fizmatlit, Moscow (2011)

    Google Scholar 

  5. Dimitrienko, Y.I., Zakharov, A.A., Koryakov, M.N.: Razrabotka programmnogo obespechenija dlja chislennogo modelirovanija v zadachah giperzvukovoj ajerogazodinamiki perspektivnyh letatel’nyh apparatov [Software development for numeral modeling of hypersonic aerogasdynamics problem perspective aircrafts]. Programmnye sistemy: teorija i prilozhenija: jelektron. nauchn. zhurn. 3(4), 17–26 (2012). http://psta.psiras.ru/read/psta2012_4_17-26.pdf

    Google Scholar 

  6. Hirschfelder, J.O., Curtiss, C.F., Bird, R.B.: Molecular Theory of Gases and Liquids. American Institute of Aeronautics and Astronautics, Wiley, New York (1954)

    MATH  Google Scholar 

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Acknowledgements

The reported study was supported by the Supercomputing Center of Lomonosov Moscow State University.

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Authors and Affiliations

  1. Bauman Moscow State Technical University, 2-ya Baumanskay st., 5, Russia, Moscow

    Yury Dimitrienko, Mikhail Koryakov & Andrey Zakharov

Authors
  1. Yury Dimitrienko
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  2. Mikhail Koryakov
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  3. Andrey Zakharov
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Corresponding author

Correspondence to Yury Dimitrienko .

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Editors and Affiliations

  1. Bulgarian Academy of Sciences, Institute of Information and Communication Technologies, Sofia, Bulgaria

    Ivan Dimov

  2. Institue of Mathematics and MTA-ELTE Numerical Analysis and Large Networks Research Group, Eötvös Loránd University, Budapest, Hungary

    István Faragó

  3. University of Rousse, Rousse, Bulgaria

    Lubin Vulkov

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Dimitrienko, Y., Koryakov, M., Zakharov, A. (2015). Application of Finite Difference TVD Methods in Hypersonic Aerodynamics. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Finite Difference Methods,Theory and Applications. FDM 2014. Lecture Notes in Computer Science(), vol 9045. Springer, Cham. https://doi.org/10.1007/978-3-319-20239-6_15

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  • DOI: https://doi.org/10.1007/978-3-319-20239-6_15

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-20238-9

  • Online ISBN: 978-3-319-20239-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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