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Extremely High-Order Optimized Multioperators-Based Schemes and Their Applications to Flow Instabilities and Sound Radiation

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Supercomputing (RuSCDays 2018)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 965))

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Abstract

Multioperators-base schemes up to 32nd-order for fluid dynamics calculations are described. Their parallel implementation is outlined. The results of applications of their versions to instability and sound radiation problems are presented. The extension to strongly discontinuous solutions is briefly outlined.

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References

  1. Tolstykh, A.I.: Multioperator high-order compact upwind methods for CFD parallel calculations. In: Emerson, D.R., et al. (Eds.) Parallel Computational Fluid Dynamics, pp. 383–390. Elsevier, Amsterdam (1998)

    Google Scholar 

  2. Tolstykh, A.I.: Development of arbitrary-order multioperators-based schemes for parallel calculations. 1. Higher-than-fifth order approximations to convection terms. J. Comput. Phys. 225, 2333–2353 (2007)

    Article  MathSciNet  Google Scholar 

  3. Tolstykh, A.I.: On the use of multioperators in the construction of high-order grid approximations. Comput. Math. Math. Phys. 56(6), 932–946 (2016)

    Article  MathSciNet  Google Scholar 

  4. Tolstykh, A.I.: High Accuracy Compact and Multioperators Approximations for Partial Differential Equations. Nauka, Moscow (2015)

    Google Scholar 

  5. Tolstykh, A.I.: On 16th and 32th order multioperators-based schemes for smooth and discontinuous fluid dynamics solutions. Commun. Comput. Phys. 22, 572–598 (1977)

    Article  MathSciNet  Google Scholar 

  6. Tam, C.K.W.: Problem 1-aliasing. In: Fourth Computational Aeroacoustics (CAA) Workshop on Benchmark Problems, NASA/CP-2004-2159 (2004)

    Google Scholar 

  7. Lesshafft, L., Huerre, P., Sagaut, P.: Frequency selection in globally unstable round jets. Phys. Fluids 19, 054108-1–054108-10 (2007)

    MATH  Google Scholar 

  8. Lai, M.-C., Peskin, C.S.: An immersed boundary method with formal second-order accuracy and reduced numerical viscosity. J. Comput. Phys. 160, 705–719 (2000)

    Article  MathSciNet  Google Scholar 

  9. Tolstykh, A.I., Shirobokov, D.A.: Fast calculations of screech using highly accurate multioperators-based schemes. J. Appl. Acoustics. 74, 102–109 (2013)

    Article  Google Scholar 

  10. Woodward, P., Colella, P.: The numerical simulation of two-dimensional fluid flow with strong shocks. J. Comput. Phys. 54, 115–173 (1984)

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control” of Russian Academy of Sciences, Moscow, Russian Federation

    Andrei Tolstykh, Michael Lipavskii, Dmitrii Shirobokov & Eugenii Chigerev

Authors
  1. Andrei Tolstykh
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  2. Michael Lipavskii
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  3. Dmitrii Shirobokov
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  4. Eugenii Chigerev
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Corresponding author

Correspondence to Andrei Tolstykh .

Editor information

Editors and Affiliations

  1. Research Computing Center (RCC), Moscow State University, Moscow, Russia

    Vladimir Voevodin

  2. RCC, Moscow State University, Moscow, Russia

    Sergey Sobolev

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Tolstykh, A., Lipavskii, M., Shirobokov, D., Chigerev, E. (2019). Extremely High-Order Optimized Multioperators-Based Schemes and Their Applications to Flow Instabilities and Sound Radiation. In: Voevodin, V., Sobolev, S. (eds) Supercomputing. RuSCDays 2018. Communications in Computer and Information Science, vol 965. Springer, Cham. https://doi.org/10.1007/978-3-030-05807-4_7

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  • DOI: https://doi.org/10.1007/978-3-030-05807-4_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-05806-7

  • Online ISBN: 978-3-030-05807-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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