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

  • Andrei TolstykhEmail author
  • Michael Lipavskii
  • Dmitrii Shirobokov
  • Eugenii Chigerev
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 965)


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.


Multioperators-based schemes Euler and Navier-stokes equations Parallel methodology Instability and sound radiation Jets Discontinuous solutions 


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Andrei Tolstykh
    • 1
    Email author
  • Michael Lipavskii
    • 1
  • Dmitrii Shirobokov
    • 1
  • Eugenii Chigerev
    • 1
  1. 1.Dorodnicyn Computing CenterFederal Research Center “Computer Science and Control” of Russian Academy of SciencesMoscowRussian Federation

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