Wall boundary condition for the R13/R26 moment method at mesoscopic level
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(1. College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China;2. College of Computer Science and Technology, National University of Defense Technology, Changsha 410073, China)

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O354

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    Abstract:

    Wall boundary conditions for the macroscopic equations, i.e. the NSF(Navier-Stokes-Fourier) equations, R13/R26 moment equations, lose their accuracy dramatically and are easy to diverge, especially in the middle and high Knudsen number regimes.To overcome these difficulties, a wall boundary condition for the R13/R26 moment method was proposed at the mesoscopic level. The velocity distribution function was reconstructed and feedback into the Boltzmann model equation in the near-wall region, and the wall boundary condition for the R13/R26 moment method was calculated on the basis of solving the Boltzmann equation with the discrete velocity method. Results indicate that:the proposed wall boundary condition is able to increase the computational accuracy up to 59.84% compared with the classical approach. Meanwhile, it is able to get the steady-state solution for the Knudsen number up to 1.0.

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History
  • Received:January 04,2022
  • Revised:
  • Adopted:
  • Online: June 18,2024
  • Published: June 28,2024
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