Journal of the Computational Structural Engineering Institute of Korea (한국전산구조공학회논문집)

Computational Structural Engineering Institute of Korea (한국전산구조공학회)
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Numerical Stability of Serial Staggered Methods in Fluid-Structure Interaction Analysis of Solid Rocket Motors

고체추진기관의 유동-구조 상호작용 해석에서 Serial Staggered 기법의 수치 안정성

  • Cho, Hyun-Joo (Department of Civil & Environmental Engineering, Dongguk Univ.) ;
  • Lee, Jee-Ho (Department of Civil & Environmental Engineering, Dongguk Univ.) ;
  • Lee, Chang-Soo (Department of Mechanical and Aerospace Engineering, Seoul National Univ.) ;
  • Kim, Chong-Am (Department of Mechanical and Aerospace Engineering, Seoul National Univ.) ;
  • Kim, Shin-Hoe (The 4th R&D Institute, 1st Directorate, Agency for Defense Development) ;
  • Lee, Jeong-Sub (The 4th R&D Institute, 1st Directorate, Agency for Defense Development)
  • 조현주 (동국대학교 건설환경공학과) ;
  • 이지호 (동국대학교 건설환경공학과) ;
  • 이창수 (서울대학교 기계항공공학과) ;
  • 김종암 (서울대학교 기계항공공학과) ;
  • 김신회 (국방과학연구소) ;
  • 이정섭 (국방과학연구소)
  • Received : 2016.01.28
  • Accepted : 2016.02.19
  • Published : 2016.04.29
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Abstract

In this paper numerical stability of CSS and ISS schemes in axisymmetric fluid-structure-burning simulation for solid rocket motors are studied. The implemented CSS and ISS algorithms for two-dimensional axisymmetric FSI problems are used to analyze ACM and BCM solid rocket motors. Numerical results from CSS and ISS schemes are compared to investigate the efficacy of ISS scheme over CSS scheme in stabilizing the numerical solution. The ACM and BCM simulation results show that ISS scheme gives stable and converged numerical solutions with appropriately small system time step size, while CSS scheme fails to converge after generating rapidly amplified oscillatory solutions. It is concluded that ISS scheme can be useful in improving the numerical stability of FSI analysis for ACM and BCM solid rocket motor simulations, which is not successfully obtained with CSS scheme.

본 연구에서는 고체추진기관의 2차원 축대칭 FSI 해석에서 CSS 및 ISS 기법의 수치 안정성을 고찰하였다. 이를 위하여 CSS 및 ISS 기법을 2차원 축대칭 FSI 수치해석 알고리즘에 구현한 프로그램을 작성하고, 이를 ACM 및 BCM 고체추진기관의 복합거동 해석에 사용하였다. 해석 결과들을 비교 분석하여 ISS 기법이 고체추진기관 FSI 해석의 수치 안정성 개선에 효과적인지 검토하였다. 연구결과, ISS 기법을 적용한 FSI 해석은 시스템 시간간격이 작아질수록 수치적 수렴성을 보이며, CSS 기법과 다르게 시간이 진행되어도 수치해의 진동이 발산하지 않는 것을 확인할 수 있었다. 이를 통하여 ISS 기법을 사용하면 ACM 및 BCM의 FSI 해석에 CSS 기법을 이용할 시 나타나는 수치 불안정성을 개선할 수 있음을 확인하였다.

Keywords

References

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