한국항공우주학회지 (Journal of the Korean Society for Aeronautical & Space Sciences)

  • 제32권3호
  • /
  • Pages.1-9
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  • 2004
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  • 1225-1348(pISSN)
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  • 2287-6871(eISSN)
한국항공우주학회 (The Korean Society for Aeronautical and Space Sciences)
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다중 격자 Navier-Stokes 해석을 위한 수렴 특성 연구 : I. 상류 차분 기법

Convergence Study of the Multigrid Navier-Stokes Simulation: I. Upwind Schemes

  • 김윤식 (한국과학기술정보연구원 슈퍼컴퓨팅센터) ;
  • 권장혁 (한국과학기술원 항공우주공학)
  • 발행 : 2004.04.01
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초록

본 연구에서는 다중 격지 Navier-Stokes 방정식 해석의 수렴성 향상을 위하여 상류 차분 기법들의 주파수 영역에서의 특생 해석을 수행하였다. 1차 상류 차분 기법에 기반한 내재적 연산자의 예조건화 특성 향상을 위하여 다차원적인 효과를 갖는 2차 상류 차분 기법이 전통적인 2차 상류 차분 기법에 비하여 우수한 예조건화 특성을 가지는 이유를 제시하였다. 주파수 영역에서의 해석 결과에 대한 검증을 위하여 완전 성김 다중 격자 기법과 예 조건화된 다단계 시간 전진 기법을 적용하였다. 비 점성 유동장 및 Spalart-Allmaras 난류 모델을 이용한 난류 유동장 해석을 수행하였으며, 주파수 영역해석의 결과와 일치하는 우수한 수렴 특성을 가짐을 확인하였다.

This study concentrates on the upwind schemes for convergence acceleration of the multigrid method for the Navier-Stokes equations. Comparative study of the upwind schemes in the Fourier space has been performed to identify why the second-order upwind scheme with enlarged stencil can be preconditioned better than the classical second-order upwind scheme. The full-coarsening multigrid method with implicit preconditioned multistage scheme has been implemented for verification of analysis. Numerical simulations on the inviscid and turbulent flows with the Spalart-Allmaras turbulent model have been performed. The results showed consistent trend with the analysis.

키워드

참고문헌

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