Journal of the Korean Society of Propulsion Engineers (한국추진공학회지)

The Korean Society of Propulsion Engineers (한국추진공학회)
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Applications of Dynamic Mode Decomposition to Unstable Shock-Induced Combustion

충격파 유도 연소의 불안정성 분석을 위한 Dynamic Mode Decomposition 방법의 적용

  • Kumar, P. Pradeep (Department of Aerospace Engineering, Pusan National University) ;
  • Choi, Jeong-Yeol (Department of Aerospace Engineering, Pusan National University) ;
  • Son, Jinwoo (School of Mechanical and Aerospace Engineering, Sejong University) ;
  • Sohn, Chae Hoon (School of Mechanical and Aerospace Engineering, Sejong University)
  • Received : 2016.11.03
  • Accepted : 2017.02.07
  • Published : 2017.04.01
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Abstract

Dynamic mode decomposition (DMD) method was applied for the further study of periodical characteristics of the unsteady shock-induced combustion. The case of Lehr's experiments was numerically simulated using 4 levels of grids. FFT result reveals that almost all the grid systems oscillate at frequencies around 430-435 kHz and the measureed one is around 425 kHz. To identify more resonant modes with low frequencies, DMD method is adopted for 4 grid systems. Several major frequencies are extracted and their damping coefficients are calculated at the same time, which is a quantification parameter for combustion stabilization.

비정상 충격파 유도연소의 주기적 압력 진동 특성을 연구하기 위하여 DMD 방법을 적용하였다. Lehr의 충격파 유도 연소 실험을 기반으로 수치적인 연구를 수행하였다. Lehr의 실험을 4 수준의 격자를 이용하여 수치적으로 모사하였으며, FFT 결과로부터 430-435 kHz의 주파수가 계산되었다. 실험 결과는 약 425 kHz로 해석 결과와 유사한 것을 확인하였다. FFT 해석에서 도출되지 않은 저주파 특성을 파악하기 위해 dynamic mode decomposition (DMD) 방법을 적용하였다. 여러 가지 모드 주파수가 계산되었고, 연소불안정 평가 인자 중 하나인 damping coefficient를 도출하여 안정/불안정성을 평가하였다.

Keywords

References

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