DOI: https://doi.org/10.26089/NumMet.v23r316

Numerical simulation of hypersonic flow around semi-sphere with non-equilibrium physical and chemical processes in high-temperature air

Authors

  • Konstantin N. Volkov
  • Vladislav A. Gimadiev
  • Yuri V. Dobrov
  • Anton G. Karpenko

Keywords:

computational fluid dynamics
hypersonic flow
sphere
aerodynamics
shock wave
high-temperature effects

Abstract

High-temperature effects have a significant impact on the characteristics of aircraft moving at hypersonic speed. Due to the complexity of setting up a physical experiment, mathematical modelling plays an important role in finding the characteristics of hypersonic aircraft. The construction and implementation of a mathematical model for the numerical simulation of a hypersonic flow around a semi-sphere is discussed, taking into account non-equilibrium physical and chemical processes in high-temperature air. The mathematical model includes the equations of gas dynamics, the equations of the turbulence model and the equations of chemical kinetics. Numerical simulation of supersonic and hypersonic air flow around a hemi-sphere is carried out, taking into account high-temperature effects. A critical review of various models that are used to find the shock stand-off is given. The results of calculations obtained using the developed numerical method are compared with the data of a physical experiment and the computational data available in the literature in a wide range of Mach numbers. The developed model and computational results are important for simulation of flows around bodies of complex configuration and designing high-speed aircraft.

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Published

2022-09-17

Issue

Vol. 23 (2022): Issue 3.

Section

Methods and algorithms of computational mathematics and their applications

Author Biographies

Konstantin N. Volkov

D.F. Ustinov Baltic State Technical University «Voenmekh»
• Leading Researcher

Vladislav A. Gimadiev

St Petersburg University,
Mathematics and Mechanics Faculty
• PhD Student

Yuri V. Dobrov

St Petersburg University,
Mathematics and Mechanics Faculty
• PhD Student

Anton G. Karpenko

St Petersburg University,
Mathematics and Mechanics Faculty
• Associate Professor

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Copyright (c) 2022 К.Н. Волков, В. А. Гимадиев, Ю.В. Добров, А.Г. Карпенко

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