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DEVELOPMENT OF A 2-D GAS-KINETIC BGK SOLVER FOR CONTINUUM AND TRANSITIONAL FLOWS ON UNSTRUCTURED MESHES

비정렬 격자계에서 연속체 및 천이 영역 유동 해석을 위한 2차원 Gas-Kinetic BGK 해석자 개발

  • Yang, T.H. (Dept. of Aerospace Engineering, KAIST) ;
  • Kwon, O.J. (Dept. of Aerospace Engineering, KAIST)
  • 양태호 (한국과학기술원 항공우주공학전공) ;
  • 권오준 (한국과학기술원 항공우주공학전공)
  • Received : 2014.05.27
  • Accepted : 2014.06.20
  • Published : 2014.06.30

Abstract

In the present study, 2-D gas-kinetic flow solver on unstructured meshes was developed for flows from continuum to transitional regimes. The gas-kinetic BGK scheme is based on numerical solutions of the BGK simplification of the Boltzmann transport equation. In the initial reconstruction, the unstructured version of the linear interpolation is applied to compute left and right states along a cell interface. In the gas evolution step, the numerical fluxes are computed from the evaluation of the time-dependent gas distribution function around a cell interface. Two-dimensional compressible flow calculations were performed to verify the accuracy and robustness of the current gas-kinetic approach. Gas-kinetic BGK scheme was successfully applied to two-dimensional steady and unsteady flow simulations with strong contact discontinuities. Exemplary hypersonic viscous simulations have been conducted to analyze the performances of the gas-kinetic scheme. The computed results show fair agreement with other standard particle-based approaches for both continuum part and transitional part.

Keywords

References

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